Encore une partie du chapitre énergie OF de faite. Mise en place du chapitre de physique théorique. Encore pas commencé celui-ci.
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set output 'CoursMecaniqueOSDF-gnuplottex-fig1.tex'
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# domaine de définition
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set xrange [36:48]
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set yrange [0:140]
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|
||||
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||||
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|
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|
||||
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|
||||
F(x)=-G*M*m/x**2
|
||||
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|
||||
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|
||||
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||||
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|
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||||
25
CoursMecaniqueOSDF-gnuplottex-fig2.gnuplot
Normal file
25
CoursMecaniqueOSDF-gnuplottex-fig2.gnuplot
Normal file
@ -0,0 +1,25 @@
|
||||
set terminal latex rotate
|
||||
set output 'CoursMecaniqueOSDF-gnuplottex-fig2.tex'
|
||||
# domaine de définition
|
||||
set xrange [36:48]
|
||||
set yrange [0:140]
|
||||
# flèches
|
||||
set arrow 1 from 39.7,120 to 39.7,0 head filled
|
||||
#size screen 0.5,30
|
||||
set label "Écart type" at 39.4,100 rotate by 90
|
||||
set arrow 2 from 44.1,120 to 44.1,0 head filled
|
||||
set label "Écart type" at 44.4,138 rotate by -90
|
||||
set arrow 3 from 41.9,120 to 41.9,0 head filled
|
||||
set label "Moyenne" at 42.2,80 rotate by -90
|
||||
#set grid
|
||||
#set title "Baguettes d'une année"
|
||||
# suppression de la légende
|
||||
set key off
|
||||
# légendes des axes
|
||||
set xlabel "Longueur des baguettes (en cm)"
|
||||
set ylabel "Nombre de baguettes" rotate by 90
|
||||
# largeur des colonnes (boxes)
|
||||
#set boxwidth 0.1
|
||||
|
||||
# tracé du graphe
|
||||
plot "Annexe-Incertitudes/Images/baguettesgauss.dat" with boxes
|
||||
104
CoursMecaniqueOSDF-gnuplottex-fig2.tex
Normal file
104
CoursMecaniqueOSDF-gnuplottex-fig2.tex
Normal file
@ -0,0 +1,104 @@
|
||||
% GNUPLOT: LaTeX picture
|
||||
\setlength{\unitlength}{0.240900pt}
|
||||
\ifx\plotpoint\undefined\newsavebox{\plotpoint}\fi
|
||||
\sbox{\plotpoint}{\rule[-0.200pt]{0.400pt}{0.400pt}}%
|
||||
\begin{picture}(1500,900)(0,0)
|
||||
\sbox{\plotpoint}{\rule[-0.200pt]{0.400pt}{0.400pt}}%
|
||||
\put(151.0,131.0){\rule[-0.200pt]{4.818pt}{0.400pt}}
|
||||
\put(131,131){\makebox(0,0)[r]{$0$}}
|
||||
\put(1419.0,131.0){\rule[-0.200pt]{4.818pt}{0.400pt}}
|
||||
\put(151.0,235.0){\rule[-0.200pt]{4.818pt}{0.400pt}}
|
||||
\put(131,235){\makebox(0,0)[r]{$20$}}
|
||||
\put(1419.0,235.0){\rule[-0.200pt]{4.818pt}{0.400pt}}
|
||||
\put(151.0,339.0){\rule[-0.200pt]{4.818pt}{0.400pt}}
|
||||
\put(131,339){\makebox(0,0)[r]{$40$}}
|
||||
\put(1419.0,339.0){\rule[-0.200pt]{4.818pt}{0.400pt}}
|
||||
\put(151.0,443.0){\rule[-0.200pt]{4.818pt}{0.400pt}}
|
||||
\put(131,443){\makebox(0,0)[r]{$60$}}
|
||||
\put(1419.0,443.0){\rule[-0.200pt]{4.818pt}{0.400pt}}
|
||||
\put(151.0,547.0){\rule[-0.200pt]{4.818pt}{0.400pt}}
|
||||
\put(131,547){\makebox(0,0)[r]{$80$}}
|
||||
\put(1419.0,547.0){\rule[-0.200pt]{4.818pt}{0.400pt}}
|
||||
\put(151.0,651.0){\rule[-0.200pt]{4.818pt}{0.400pt}}
|
||||
\put(131,651){\makebox(0,0)[r]{$100$}}
|
||||
\put(1419.0,651.0){\rule[-0.200pt]{4.818pt}{0.400pt}}
|
||||
\put(151.0,755.0){\rule[-0.200pt]{4.818pt}{0.400pt}}
|
||||
\put(131,755){\makebox(0,0)[r]{$120$}}
|
||||
\put(1419.0,755.0){\rule[-0.200pt]{4.818pt}{0.400pt}}
|
||||
\put(151.0,859.0){\rule[-0.200pt]{4.818pt}{0.400pt}}
|
||||
\put(131,859){\makebox(0,0)[r]{$140$}}
|
||||
\put(1419.0,859.0){\rule[-0.200pt]{4.818pt}{0.400pt}}
|
||||
\put(151.0,131.0){\rule[-0.200pt]{0.400pt}{4.818pt}}
|
||||
\put(151,90){\makebox(0,0){$36$}}
|
||||
\put(151.0,839.0){\rule[-0.200pt]{0.400pt}{4.818pt}}
|
||||
\put(366.0,131.0){\rule[-0.200pt]{0.400pt}{4.818pt}}
|
||||
\put(366,90){\makebox(0,0){$38$}}
|
||||
\put(366.0,839.0){\rule[-0.200pt]{0.400pt}{4.818pt}}
|
||||
\put(580.0,131.0){\rule[-0.200pt]{0.400pt}{4.818pt}}
|
||||
\put(580,90){\makebox(0,0){$40$}}
|
||||
\put(580.0,839.0){\rule[-0.200pt]{0.400pt}{4.818pt}}
|
||||
\put(795.0,131.0){\rule[-0.200pt]{0.400pt}{4.818pt}}
|
||||
\put(795,90){\makebox(0,0){$42$}}
|
||||
\put(795.0,839.0){\rule[-0.200pt]{0.400pt}{4.818pt}}
|
||||
\put(1010.0,131.0){\rule[-0.200pt]{0.400pt}{4.818pt}}
|
||||
\put(1010,90){\makebox(0,0){$44$}}
|
||||
\put(1010.0,839.0){\rule[-0.200pt]{0.400pt}{4.818pt}}
|
||||
\put(1224.0,131.0){\rule[-0.200pt]{0.400pt}{4.818pt}}
|
||||
\put(1224,90){\makebox(0,0){$46$}}
|
||||
\put(1224.0,839.0){\rule[-0.200pt]{0.400pt}{4.818pt}}
|
||||
\put(1439.0,131.0){\rule[-0.200pt]{0.400pt}{4.818pt}}
|
||||
\put(1439,90){\makebox(0,0){$48$}}
|
||||
\put(1439.0,839.0){\rule[-0.200pt]{0.400pt}{4.818pt}}
|
||||
\put(151.0,131.0){\rule[-0.200pt]{0.400pt}{175.375pt}}
|
||||
\put(151.0,131.0){\rule[-0.200pt]{310.279pt}{0.400pt}}
|
||||
\put(1439.0,131.0){\rule[-0.200pt]{0.400pt}{175.375pt}}
|
||||
\put(151.0,859.0){\rule[-0.200pt]{310.279pt}{0.400pt}}
|
||||
\put(516,651){\rotatebox{90}{\makebox(0,0)[l]{Écart type}}
|
||||
}\put(1053,849){\rotatebox{-90}{\makebox(0,0)[l]{Écart type}}
|
||||
}\put(816,547){\rotatebox{-90}{\makebox(0,0)[l]{Moyenne}}
|
||||
}\put(548,755){\vector(0,-1){624}}
|
||||
\put(1020,755){\vector(0,-1){624}}
|
||||
\put(784,755){\vector(0,-1){624}}
|
||||
\put(30,495){\rotatebox{90}{\makebox(0,0){Nombre de baguettes}}
|
||||
}\put(795,29){\makebox(0,0){Longueur des baguettes (en cm)}}
|
||||
\put(312.0,131.0){\rule[-0.200pt]{0.400pt}{66.488pt}}
|
||||
\put(312.0,407.0){\rule[-0.200pt]{25.776pt}{0.400pt}}
|
||||
\put(419.0,131.0){\rule[-0.200pt]{0.400pt}{66.488pt}}
|
||||
\put(312.0,131.0){\rule[-0.200pt]{25.776pt}{0.400pt}}
|
||||
\put(419.0,131.0){\rule[-0.200pt]{0.400pt}{90.097pt}}
|
||||
\put(419.0,505.0){\rule[-0.200pt]{26.017pt}{0.400pt}}
|
||||
\put(527.0,131.0){\rule[-0.200pt]{0.400pt}{90.097pt}}
|
||||
\put(419.0,131.0){\rule[-0.200pt]{26.017pt}{0.400pt}}
|
||||
\put(527.0,131.0){\rule[-0.200pt]{0.400pt}{119.005pt}}
|
||||
\put(527.0,625.0){\rule[-0.200pt]{25.776pt}{0.400pt}}
|
||||
\put(634.0,131.0){\rule[-0.200pt]{0.400pt}{119.005pt}}
|
||||
\put(527.0,131.0){\rule[-0.200pt]{25.776pt}{0.400pt}}
|
||||
\put(634.0,131.0){\rule[-0.200pt]{0.400pt}{151.526pt}}
|
||||
\put(634.0,760.0){\rule[-0.200pt]{25.776pt}{0.400pt}}
|
||||
\put(741.0,131.0){\rule[-0.200pt]{0.400pt}{151.526pt}}
|
||||
\put(634.0,131.0){\rule[-0.200pt]{25.776pt}{0.400pt}}
|
||||
\put(741.0,131.0){\rule[-0.200pt]{0.400pt}{162.848pt}}
|
||||
\put(741.0,807.0){\rule[-0.200pt]{26.017pt}{0.400pt}}
|
||||
\put(849.0,131.0){\rule[-0.200pt]{0.400pt}{162.848pt}}
|
||||
\put(741.0,131.0){\rule[-0.200pt]{26.017pt}{0.400pt}}
|
||||
\put(849.0,131.0){\rule[-0.200pt]{0.400pt}{147.913pt}}
|
||||
\put(849.0,745.0){\rule[-0.200pt]{25.776pt}{0.400pt}}
|
||||
\put(956.0,131.0){\rule[-0.200pt]{0.400pt}{147.913pt}}
|
||||
\put(849.0,131.0){\rule[-0.200pt]{25.776pt}{0.400pt}}
|
||||
\put(956.0,131.0){\rule[-0.200pt]{0.400pt}{112.741pt}}
|
||||
\put(956.0,599.0){\rule[-0.200pt]{25.776pt}{0.400pt}}
|
||||
\put(1063.0,131.0){\rule[-0.200pt]{0.400pt}{112.741pt}}
|
||||
\put(956.0,131.0){\rule[-0.200pt]{25.776pt}{0.400pt}}
|
||||
\put(1063.0,131.0){\rule[-0.200pt]{0.400pt}{83.833pt}}
|
||||
\put(1063.0,479.0){\rule[-0.200pt]{26.017pt}{0.400pt}}
|
||||
\put(1171.0,131.0){\rule[-0.200pt]{0.400pt}{83.833pt}}
|
||||
\put(1063.0,131.0){\rule[-0.200pt]{26.017pt}{0.400pt}}
|
||||
\put(1171.0,131.0){\rule[-0.200pt]{0.400pt}{55.166pt}}
|
||||
\put(1171.0,360.0){\rule[-0.200pt]{25.776pt}{0.400pt}}
|
||||
\put(1278.0,131.0){\rule[-0.200pt]{0.400pt}{55.166pt}}
|
||||
\put(1171.0,131.0){\rule[-0.200pt]{25.776pt}{0.400pt}}
|
||||
\put(151.0,131.0){\rule[-0.200pt]{0.400pt}{175.375pt}}
|
||||
\put(151.0,131.0){\rule[-0.200pt]{310.279pt}{0.400pt}}
|
||||
\put(1439.0,131.0){\rule[-0.200pt]{0.400pt}{175.375pt}}
|
||||
\put(151.0,859.0){\rule[-0.200pt]{310.279pt}{0.400pt}}
|
||||
\end{picture}
|
||||
@ -16,6 +16,7 @@
|
||||
\@input{QtiteMvt/QtiteMvt.aux}
|
||||
\@input{Energie/Energie.aux}
|
||||
\@input{EnergieOS/EnergieOS.aux}
|
||||
\@input{PhysiqueTheorique/PhysiqueTheorique.aux}
|
||||
\@input{Thermodynamique/Thermodynamique.aux}
|
||||
\@input{ThermodynamiqueOS/ThermodynamiqueOS.aux}
|
||||
\@input{Annexe-UnitesInternationales/Annexe-UnitesInternationales.aux}
|
||||
|
||||
Binary file not shown.
@ -809,402 +809,404 @@
|
||||
\indexentry{travail@travail}{125}
|
||||
\indexentry{conservative@conservative}{125}
|
||||
\indexentry{force@force!conservative}{125}
|
||||
\indexentry{energie@\IeC {\'e}nergie}{127}
|
||||
\indexentry{temperature@temp\IeC {\'e}rature}{127}
|
||||
\indexentry{chaleur}{127}
|
||||
\indexentry{Celsius}{127}
|
||||
\indexentry{degre@degr\IeC {\'e}!centigrade}{127}
|
||||
\indexentry{degre@degr\IeC {\'e}!Celsius}{127}
|
||||
\indexentry{Fahrenheit}{127}
|
||||
\indexentry{degre@degr\IeC {\'e}!Fahrenheit}{127}
|
||||
\indexentry{fusion}{127}
|
||||
\indexentry{vaporisation}{127}
|
||||
\indexentry{systeme@syst\IeC {\`e}me!internationnal}{128}
|
||||
\indexentry{Kelvin}{128}
|
||||
\indexentry{agitation mol\IeC {\'e}culaire}{128}
|
||||
\indexentry{chaleur}{129}
|
||||
\indexentry{temperature@temp\IeC {\'e}rature}{129}
|
||||
\indexentry{chaleur!sp\IeC {\'e}cifique}{129}
|
||||
\indexentry{chaleur!latente}{129}
|
||||
\indexentry{palier!de fusion}{130}
|
||||
\indexentry{palier!de solidification}{130}
|
||||
\indexentry{palier!de vaporisation}{130}
|
||||
\indexentry{palier!de liqu\IeC {\'e}faction}{130}
|
||||
\indexentry{chaleur!latente}{130}
|
||||
\indexentry{travail}{130}
|
||||
\indexentry{energie@\IeC {\'e}nergie!interne}{130}
|
||||
\indexentry{chaleur}{130}
|
||||
\indexentry{energie@\IeC {\'e}nergie!potentielle}{130}
|
||||
\indexentry{energie@\IeC {\'e}nergie!cin\IeC {\'e}tique}{130}
|
||||
\indexentry{Carnot Nicolas Leonard@Carnot Nicolas L\IeC {\'e}onard}{131}
|
||||
\indexentry{Carnot Nicolas Leonard@Carnot Nicolas L\IeC {\'e}onard}{131}
|
||||
\indexentry{thermodynamique}{131}
|
||||
\indexentry{moteur ideal@moteur id\IeC {\'e}al}{131}
|
||||
\indexentry{rendement!maximum}{131}
|
||||
\indexentry{premi\IeC {\`e}re loi!de la thermodynamique}{131}
|
||||
\indexentry{zero@z\IeC {\'e}ro!de l'\IeC {\'e}nergie potentielle}{126}
|
||||
\indexentry{physique@physique!th\IeC {\'e}orique}{129}
|
||||
\indexentry{energie@\IeC {\'e}nergie}{131}
|
||||
\indexentry{temperature@temp\IeC {\'e}rature}{131}
|
||||
\indexentry{premier principe}{131}
|
||||
\indexentry{premier principe}{131}
|
||||
\indexentry{capacit\IeC {\'e} thermique}{136}
|
||||
\indexentry{valeur en eau}{136}
|
||||
\indexentry{transition d'\IeC {\'e}tat}{137}
|
||||
\indexentry{fusion}{137}
|
||||
\indexentry{solidification}{137}
|
||||
\indexentry{vaporisation}{137}
|
||||
\indexentry{liqu\IeC {\'e}faction}{137}
|
||||
\indexentry{chaleur latente}{137}
|
||||
\indexentry{\IeC {\'e}vaporation}{137}
|
||||
\indexentry{temp\IeC {\'e}rature d'\IeC {\'e}quilibre}{138}
|
||||
\indexentry{\IeC {\'e}quation d'\IeC {\'e}tat}{139}
|
||||
\indexentry{loi des gaz parfaits}{139}
|
||||
\indexentry{degre de liberte@degr\IeC {\'e} de libert\IeC {\'e}}{143}
|
||||
\indexentry{equipartition de l'energie@\IeC {\'e}quipartition de l'\IeC {\'e}nergie}{143}
|
||||
\indexentry{moteur!\IeC {\`a} explosion}{150}
|
||||
\indexentry{moteur!\IeC {\`a} essence}{151}
|
||||
\indexentry{cycle!d'Otto}{151}
|
||||
\indexentry{Beau de Rochas}{151}
|
||||
\indexentry{rapport de compression}{152}
|
||||
\indexentry{taux d'injection}{153}
|
||||
\indexentry{entropie}{154}
|
||||
\indexentry{second principe}{155}
|
||||
\indexentry{Syst\IeC {\`e}me!International d'unit\IeC {\'e}s}{159}
|
||||
\indexentry{SI}{159}
|
||||
\indexentry{conversion}{159}
|
||||
\indexentry{unit\IeC {\'e}}{159}
|
||||
\indexentry{parsec}{159}
|
||||
\indexentry{UA}{159}
|
||||
\indexentry{seconde!d'arc}{159}
|
||||
\indexentry{minute d'arc}{159}
|
||||
\indexentry{pc}{159}
|
||||
\indexentry{multiple}{160}
|
||||
\indexentry{sous-multiple}{160}
|
||||
\indexentry{notation@notation!scientifique}{160}
|
||||
\indexentry{notation@notation!d'ing\IeC {\'e}nieur}{160}
|
||||
\indexentry{notation@notation!scientifique}{160}
|
||||
\indexentry{notation@notation!d'ing\IeC {\'e}nieur}{160}
|
||||
\indexentry{EXP}{160}
|
||||
\indexentry{EE}{160}
|
||||
\indexentry{syst\IeC {\`e}me!de coordonn\IeC {\'e}es circulaires}{163}
|
||||
\indexentry{orbite}{163}
|
||||
\indexentry{ecliptique@\IeC {\'e}cliptique}{163}
|
||||
\indexentry{position}{163}
|
||||
\indexentry{coordonn\IeC {\'e}e}{163}
|
||||
\indexentry{coordonn\IeC {\'e}e!sph\IeC {\'e}riques}{163}
|
||||
\indexentry{sph\IeC {\'e}rique}{163}
|
||||
\indexentry{coordonn\IeC {\'e}e}{164}
|
||||
\indexentry{colatitude}{164}
|
||||
\indexentry{latitude}{164}
|
||||
\indexentry{longitude}{164}
|
||||
\indexentry{latitude}{164}
|
||||
\indexentry{longitude}{164}
|
||||
\indexentry{mesure!de distance}{165}
|
||||
\indexentry{Eratosthene@\IeC {\'E}ratosth\IeC {\`e}ne}{165}
|
||||
\indexentry{Cleomede@Cl\IeC {\'e}om\IeC {\`e}de}{165}
|
||||
\indexentry{Strabon}{165}
|
||||
\indexentry{Pline l'Ancien}{165}
|
||||
\indexentry{ecliptique@\IeC {\'e}cliptique}{165}
|
||||
\indexentry{Syene@Sy\IeC {\`e}ne}{165}
|
||||
\indexentry{Assouan}{165}
|
||||
\indexentry{tropique!du Cancer}{165}
|
||||
\indexentry{solstice!d'\IeC {\'e}t\IeC {\'e}}{165}
|
||||
\indexentry{zenith@z\IeC {\'e}nith}{165}
|
||||
\indexentry{Alexandrie}{165}
|
||||
\indexentry{gnomon}{165}
|
||||
\indexentry{circonference@circonf\IeC {\'e}rence!de la terre}{165}
|
||||
\indexentry{gnomon}{165}
|
||||
\indexentry{scaphe@scaph\IeC {\'e}}{166}
|
||||
\indexentry{stade}{166}
|
||||
\indexentry{Delambre}{166}
|
||||
\indexentry{diametre@diam\IeC {\`e}tre!apparent}{166}
|
||||
\indexentry{stade}{166}
|
||||
\indexentry{circonference@circonf\IeC {\'e}rence!de la terre}{167}
|
||||
\indexentry{incertitude@incertitude}{167}
|
||||
\indexentry{eclipse@\IeC {\'e}clipse!de Lune}{167}
|
||||
\indexentry{eclipse@\IeC {\'e}clipse!de Soleil}{167}
|
||||
\indexentry{eclipse@\IeC {\'e}clipse!de Lune}{167}
|
||||
\indexentry{Apollo}{168}
|
||||
\indexentry{parallaxe}{168}
|
||||
\indexentry{Polaire}{168}
|
||||
\indexentry{parallaxe}{168}
|
||||
\indexentry{Mars}{168}
|
||||
\indexentry{Cassini}{168}
|
||||
\indexentry{Richer}{168}
|
||||
\indexentry{parallaxe}{169}
|
||||
\indexentry{Paris-Cayenne}{169}
|
||||
\indexentry{Cassini}{169}
|
||||
\indexentry{opposition}{169}
|
||||
\indexentry{orbite!elliptique}{169}
|
||||
\indexentry{Kepler!troisi\IeC {\`e}me loi}{169}
|
||||
\indexentry{excentricite@excentricit\IeC {\'e}}{170}
|
||||
\indexentry{orbite!elliptique}{170}
|
||||
\indexentry{excentricite@excentricit\IeC {\'e}}{170}
|
||||
\indexentry{parallaxe}{170}
|
||||
\indexentry{parallaxe!stellaire}{170}
|
||||
\indexentry{Bessel}{170}
|
||||
\indexentry{Proxima du Centaure}{170}
|
||||
\indexentry{ellipse}{170}
|
||||
\indexentry{foyer}{170}
|
||||
\indexentry{rapport!de laboratoire}{171}
|
||||
\indexentry{clarte@clart\IeC {\'e}}{171}
|
||||
\indexentry{concision}{171}
|
||||
\indexentry{structure!de rapport}{171}
|
||||
\indexentry{rapport!de travail pratique}{172}
|
||||
\indexentry{titre}{172}
|
||||
\indexentry{resume@r\IeC {\'e}sum\IeC {\'e}}{172}
|
||||
\indexentry{titre}{172}
|
||||
\indexentry{resume@r\IeC {\'e}sum\IeC {\'e}}{172}
|
||||
\indexentry{abstract}{172}
|
||||
\indexentry{but du travail pratique}{172}
|
||||
\indexentry{Partie th\IeC {\'e}orique}{172}
|
||||
\indexentry{annexe}{172}
|
||||
\indexentry{description de l'experience@description de l'exp\IeC {\'e}rience}{172}
|
||||
\indexentry{resultats@r\IeC {\'e}sultats}{172}
|
||||
\indexentry{graphique}{173}
|
||||
\indexentry{incertitude@incertitude}{173}
|
||||
\indexentry{tableau}{173}
|
||||
\indexentry{incertitude@incertitude}{173}
|
||||
\indexentry{annexe}{173}
|
||||
\indexentry{ecart@\IeC {\'e}cart}{173}
|
||||
\indexentry{erreur}{173}
|
||||
\indexentry{erreur}{173}
|
||||
\indexentry{erreur!syst\IeC {\'e}matique}{174}
|
||||
\indexentry{exemple de calcul}{174}
|
||||
\indexentry{incertitude@incertitude}{174}
|
||||
\indexentry{discussion}{174}
|
||||
\indexentry{conclusion du travail pratique}{174}
|
||||
\indexentry{nebuleuse@n\IeC {\'e}buleuse!du crabe}{175}
|
||||
\indexentry{etoile@\IeC {\'e}toile!\IeC {\`a} neutrons}{175}
|
||||
\indexentry{pulsar}{175}
|
||||
\indexentry{expansion}{175}
|
||||
\indexentry{filaments}{175}
|
||||
\indexentry{etoile@\IeC {\'e}toile!nouvelle}{175}
|
||||
\indexentry{pendule}{175}
|
||||
\indexentry{grandeur}{175}
|
||||
\indexentry{periode@p\IeC {\'e}riode}{175}
|
||||
\indexentry{variable}{175}
|
||||
\indexentry{parametre@param\IeC {\`e}tre}{175}
|
||||
\indexentry{incertitude@incertitude}{176}
|
||||
\indexentry{clarte@clart\IeC {\'e}}{176}
|
||||
\indexentry{mouvement!simple}{176}
|
||||
\indexentry{MRU}{176}
|
||||
\indexentry{graphe horaire}{176}
|
||||
\indexentry{mouvement!simple}{176}
|
||||
\indexentry{MRUA}{176}
|
||||
\indexentry{rail incline@rail inclin\IeC {\'e}}{176}
|
||||
\indexentry{Galilee@Galil\IeC {\'e}e}{177}
|
||||
\indexentry{plan incline@plan inclin\IeC {\'e}}{177}
|
||||
\indexentry{chute libre}{177}
|
||||
\indexentry{MRUA}{177}
|
||||
\indexentry{canon}{177}
|
||||
\indexentry{balistique}{177}
|
||||
\indexentry{energie@\IeC {\'e}nergie}{178}
|
||||
\indexentry{seconde!loi!de Newton}{178}
|
||||
\indexentry{MRUA}{178}
|
||||
\indexentry{acc\IeC {\'e}l\IeC {\'e}ration}{178}
|
||||
\indexentry{rotation!de la terre}{179}
|
||||
\indexentry{equateur@\IeC {\'e}quateur!terrestre}{179}
|
||||
\indexentry{periode@p\IeC {\'e}riode!sid\IeC {\'e}rale}{179}
|
||||
\indexentry{inertie}{179}
|
||||
\indexentry{rotation!de la Terre}{179}
|
||||
\indexentry{Soleil}{179}
|
||||
\indexentry{inertie}{179}
|
||||
\indexentry{relativit\IeC {\'e}}{180}
|
||||
\indexentry{immobilite de la terre@immobilit\IeC {\'e} de la terre}{180}
|
||||
\indexentry{inertie}{180}
|
||||
\indexentry{orbite!elliptique}{180}
|
||||
\indexentry{Ptolemee@Ptol\IeC {\'e}m\IeC {\'e}e}{180}
|
||||
\indexentry{epicycle@\IeC {\'e}picycle}{180}
|
||||
\indexentry{retrogradation@r\IeC {\'e}trogradation}{180}
|
||||
\indexentry{orbite!de mars}{180}
|
||||
\indexentry{Tycho Brahe@Tycho Brah\IeC {\'e}}{180}
|
||||
\indexentry{orbite!circulaire}{181}
|
||||
\indexentry{rotation!du Soleil}{181}
|
||||
\indexentry{Voie Lact\IeC {\'e}e}{181}
|
||||
\indexentry{periode@p\IeC {\'e}riode!sid\IeC {\'e}rale}{181}
|
||||
\indexentry{inertie}{181}
|
||||
\indexentry{equateur@\IeC {\'e}quateur}{181}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel}{181}
|
||||
\indexentry{Local Standard of Rest}{182}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel}{182}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!absolu}{182}
|
||||
\indexentry{relativit\IeC {\'e}!restreinte}{182}
|
||||
\indexentry{Michelson et Morley}{182}
|
||||
\indexentry{position}{183}
|
||||
\indexentry{seconde!loi!de Newton}{187}
|
||||
\indexentry{mouvement!circulaire!uniforme}{187}
|
||||
\indexentry{loi!de la gravitation universelle}{187}
|
||||
\indexentry{altitude}{187}
|
||||
\indexentry{satellite}{187}
|
||||
\indexentry{orbite}{187}
|
||||
\indexentry{geostationnaire@g\IeC {\'e}ostationnaire}{187}
|
||||
\indexentry{periode@p\IeC {\'e}riode}{187}
|
||||
\indexentry{relativite@relativit\IeC {\'e}}{189}
|
||||
\indexentry{Einstein}{189}
|
||||
\indexentry{dilatation du temps}{189}
|
||||
\indexentry{courbure de l'espace}{189}
|
||||
\indexentry{Bruno Giordano}{189}
|
||||
\indexentry{Galilee@Galil\IeC {\'e}e}{189}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!galil\IeC {\'e}enne}{189}
|
||||
\indexentry{vitesse!constante}{189}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!restreinte}{189}
|
||||
\indexentry{Bruno Giordano}{190}
|
||||
\indexentry{pluralite@pluralit\IeC {\'e} des mondes}{190}
|
||||
\indexentry{transformation!galil\IeC {\'e}enne}{190}
|
||||
\indexentry{invariance!du temps}{190}
|
||||
\indexentry{theoreme@th\IeC {\'e}or\IeC {\`e}me!d'addition des vitesses}{190}
|
||||
\indexentry{invariance}{191}
|
||||
\indexentry{MRU}{191}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!de Galil\IeC {\'e}e}{191}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!restreinte}{191}
|
||||
\indexentry{seconde loi}{191}
|
||||
\indexentry{invariance!formelle}{191}
|
||||
\indexentry{Bruno Giordano}{191}
|
||||
\indexentry{force@force!inertielle}{191}
|
||||
\indexentry{invariance}{191}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!restreinte}{191}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!inertiel}{191}
|
||||
\indexentry{mouvement!rectiligne uniforme}{191}
|
||||
\indexentry{force@force!d'inertie}{191}
|
||||
\indexentry{force@force!centrifuge}{191}
|
||||
\indexentry{force@force!d'inertie}{191}
|
||||
\indexentry{seconde loi}{191}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!non inertiel}{191}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!tournant}{192}
|
||||
\indexentry{force@force!fictive}{192}
|
||||
\indexentry{force@force!d'inertie}{192}
|
||||
\indexentry{champ!de gravitation}{192}
|
||||
\indexentry{invariance}{192}
|
||||
\indexentry{transformation!de Galil\IeC {\'e}e}{192}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!galil\IeC {\'e}enne}{192}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!g\IeC {\'e}n\IeC {\'e}rale}{192}
|
||||
\indexentry{acceleration@acc\IeC {\'e}l\IeC {\'e}ration!centrip\IeC {\`e}te}{192}
|
||||
\indexentry{cinematique@cin\IeC {\'e}matique}{192}
|
||||
\indexentry{invariance!formelle}{192}
|
||||
\indexentry{force@force!d'inertie}{192}
|
||||
\indexentry{force@force!fictive}{192}
|
||||
\indexentry{pseudo-force}{192}
|
||||
\indexentry{force@force!centrifuge}{192}
|
||||
\indexentry{force@force!centrifuge}{192}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!non inertiel}{192}
|
||||
\indexentry{pseudo-force}{192}
|
||||
\indexentry{force@force!de gravitation}{192}
|
||||
\indexentry{chaleur}{131}
|
||||
\indexentry{Celsius}{131}
|
||||
\indexentry{degre@degr\IeC {\'e}!centigrade}{131}
|
||||
\indexentry{degre@degr\IeC {\'e}!Celsius}{131}
|
||||
\indexentry{Fahrenheit}{131}
|
||||
\indexentry{degre@degr\IeC {\'e}!Fahrenheit}{131}
|
||||
\indexentry{fusion}{131}
|
||||
\indexentry{vaporisation}{131}
|
||||
\indexentry{systeme@syst\IeC {\`e}me!internationnal}{132}
|
||||
\indexentry{Kelvin}{132}
|
||||
\indexentry{agitation mol\IeC {\'e}culaire}{132}
|
||||
\indexentry{chaleur}{133}
|
||||
\indexentry{temperature@temp\IeC {\'e}rature}{133}
|
||||
\indexentry{chaleur!sp\IeC {\'e}cifique}{133}
|
||||
\indexentry{chaleur!latente}{133}
|
||||
\indexentry{palier!de fusion}{134}
|
||||
\indexentry{palier!de solidification}{134}
|
||||
\indexentry{palier!de vaporisation}{134}
|
||||
\indexentry{palier!de liqu\IeC {\'e}faction}{134}
|
||||
\indexentry{chaleur!latente}{134}
|
||||
\indexentry{travail}{134}
|
||||
\indexentry{energie@\IeC {\'e}nergie!interne}{134}
|
||||
\indexentry{chaleur}{134}
|
||||
\indexentry{energie@\IeC {\'e}nergie!potentielle}{134}
|
||||
\indexentry{energie@\IeC {\'e}nergie!cin\IeC {\'e}tique}{134}
|
||||
\indexentry{Carnot Nicolas Leonard@Carnot Nicolas L\IeC {\'e}onard}{135}
|
||||
\indexentry{Carnot Nicolas Leonard@Carnot Nicolas L\IeC {\'e}onard}{135}
|
||||
\indexentry{thermodynamique}{135}
|
||||
\indexentry{moteur ideal@moteur id\IeC {\'e}al}{135}
|
||||
\indexentry{rendement!maximum}{135}
|
||||
\indexentry{premi\IeC {\`e}re loi!de la thermodynamique}{135}
|
||||
\indexentry{temperature@temp\IeC {\'e}rature}{135}
|
||||
\indexentry{premier principe}{135}
|
||||
\indexentry{premier principe}{135}
|
||||
\indexentry{capacit\IeC {\'e} thermique}{140}
|
||||
\indexentry{valeur en eau}{140}
|
||||
\indexentry{transition d'\IeC {\'e}tat}{141}
|
||||
\indexentry{fusion}{141}
|
||||
\indexentry{solidification}{141}
|
||||
\indexentry{vaporisation}{141}
|
||||
\indexentry{liqu\IeC {\'e}faction}{141}
|
||||
\indexentry{chaleur latente}{141}
|
||||
\indexentry{\IeC {\'e}vaporation}{141}
|
||||
\indexentry{temp\IeC {\'e}rature d'\IeC {\'e}quilibre}{142}
|
||||
\indexentry{\IeC {\'e}quation d'\IeC {\'e}tat}{143}
|
||||
\indexentry{loi des gaz parfaits}{143}
|
||||
\indexentry{degre de liberte@degr\IeC {\'e} de libert\IeC {\'e}}{147}
|
||||
\indexentry{equipartition de l'energie@\IeC {\'e}quipartition de l'\IeC {\'e}nergie}{147}
|
||||
\indexentry{moteur!\IeC {\`a} explosion}{154}
|
||||
\indexentry{moteur!\IeC {\`a} essence}{155}
|
||||
\indexentry{cycle!d'Otto}{155}
|
||||
\indexentry{Beau de Rochas}{155}
|
||||
\indexentry{rapport de compression}{156}
|
||||
\indexentry{taux d'injection}{157}
|
||||
\indexentry{entropie}{158}
|
||||
\indexentry{second principe}{159}
|
||||
\indexentry{Syst\IeC {\`e}me!International d'unit\IeC {\'e}s}{163}
|
||||
\indexentry{SI}{163}
|
||||
\indexentry{conversion}{163}
|
||||
\indexentry{unit\IeC {\'e}}{163}
|
||||
\indexentry{parsec}{163}
|
||||
\indexentry{UA}{163}
|
||||
\indexentry{seconde!d'arc}{163}
|
||||
\indexentry{minute d'arc}{163}
|
||||
\indexentry{pc}{163}
|
||||
\indexentry{multiple}{164}
|
||||
\indexentry{sous-multiple}{164}
|
||||
\indexentry{notation@notation!scientifique}{164}
|
||||
\indexentry{notation@notation!d'ing\IeC {\'e}nieur}{164}
|
||||
\indexentry{notation@notation!scientifique}{164}
|
||||
\indexentry{notation@notation!d'ing\IeC {\'e}nieur}{164}
|
||||
\indexentry{EXP}{164}
|
||||
\indexentry{EE}{164}
|
||||
\indexentry{syst\IeC {\`e}me!de coordonn\IeC {\'e}es circulaires}{167}
|
||||
\indexentry{orbite}{167}
|
||||
\indexentry{ecliptique@\IeC {\'e}cliptique}{167}
|
||||
\indexentry{position}{167}
|
||||
\indexentry{coordonn\IeC {\'e}e}{167}
|
||||
\indexentry{coordonn\IeC {\'e}e!sph\IeC {\'e}riques}{167}
|
||||
\indexentry{sph\IeC {\'e}rique}{167}
|
||||
\indexentry{coordonn\IeC {\'e}e}{168}
|
||||
\indexentry{colatitude}{168}
|
||||
\indexentry{latitude}{168}
|
||||
\indexentry{longitude}{168}
|
||||
\indexentry{latitude}{168}
|
||||
\indexentry{longitude}{168}
|
||||
\indexentry{mesure!de distance}{169}
|
||||
\indexentry{Eratosthene@\IeC {\'E}ratosth\IeC {\`e}ne}{169}
|
||||
\indexentry{Cleomede@Cl\IeC {\'e}om\IeC {\`e}de}{169}
|
||||
\indexentry{Strabon}{169}
|
||||
\indexentry{Pline l'Ancien}{169}
|
||||
\indexentry{ecliptique@\IeC {\'e}cliptique}{169}
|
||||
\indexentry{Syene@Sy\IeC {\`e}ne}{169}
|
||||
\indexentry{Assouan}{169}
|
||||
\indexentry{tropique!du Cancer}{169}
|
||||
\indexentry{solstice!d'\IeC {\'e}t\IeC {\'e}}{169}
|
||||
\indexentry{zenith@z\IeC {\'e}nith}{169}
|
||||
\indexentry{Alexandrie}{169}
|
||||
\indexentry{gnomon}{169}
|
||||
\indexentry{circonference@circonf\IeC {\'e}rence!de la terre}{169}
|
||||
\indexentry{gnomon}{169}
|
||||
\indexentry{scaphe@scaph\IeC {\'e}}{170}
|
||||
\indexentry{stade}{170}
|
||||
\indexentry{Delambre}{170}
|
||||
\indexentry{diametre@diam\IeC {\`e}tre!apparent}{170}
|
||||
\indexentry{stade}{170}
|
||||
\indexentry{circonference@circonf\IeC {\'e}rence!de la terre}{171}
|
||||
\indexentry{incertitude@incertitude}{171}
|
||||
\indexentry{eclipse@\IeC {\'e}clipse!de Lune}{171}
|
||||
\indexentry{eclipse@\IeC {\'e}clipse!de Soleil}{171}
|
||||
\indexentry{eclipse@\IeC {\'e}clipse!de Lune}{171}
|
||||
\indexentry{Apollo}{172}
|
||||
\indexentry{parallaxe}{172}
|
||||
\indexentry{Polaire}{172}
|
||||
\indexentry{parallaxe}{172}
|
||||
\indexentry{Mars}{172}
|
||||
\indexentry{Cassini}{172}
|
||||
\indexentry{Richer}{172}
|
||||
\indexentry{parallaxe}{173}
|
||||
\indexentry{Paris-Cayenne}{173}
|
||||
\indexentry{Cassini}{173}
|
||||
\indexentry{opposition}{173}
|
||||
\indexentry{orbite!elliptique}{173}
|
||||
\indexentry{Kepler!troisi\IeC {\`e}me loi}{173}
|
||||
\indexentry{excentricite@excentricit\IeC {\'e}}{174}
|
||||
\indexentry{orbite!elliptique}{174}
|
||||
\indexentry{excentricite@excentricit\IeC {\'e}}{174}
|
||||
\indexentry{parallaxe}{174}
|
||||
\indexentry{parallaxe!stellaire}{174}
|
||||
\indexentry{Bessel}{174}
|
||||
\indexentry{Proxima du Centaure}{174}
|
||||
\indexentry{ellipse}{174}
|
||||
\indexentry{foyer}{174}
|
||||
\indexentry{rapport!de laboratoire}{175}
|
||||
\indexentry{clarte@clart\IeC {\'e}}{175}
|
||||
\indexentry{concision}{175}
|
||||
\indexentry{structure!de rapport}{175}
|
||||
\indexentry{rapport!de travail pratique}{176}
|
||||
\indexentry{titre}{176}
|
||||
\indexentry{resume@r\IeC {\'e}sum\IeC {\'e}}{176}
|
||||
\indexentry{titre}{176}
|
||||
\indexentry{resume@r\IeC {\'e}sum\IeC {\'e}}{176}
|
||||
\indexentry{abstract}{176}
|
||||
\indexentry{but du travail pratique}{176}
|
||||
\indexentry{Partie th\IeC {\'e}orique}{176}
|
||||
\indexentry{annexe}{176}
|
||||
\indexentry{description de l'experience@description de l'exp\IeC {\'e}rience}{176}
|
||||
\indexentry{resultats@r\IeC {\'e}sultats}{176}
|
||||
\indexentry{graphique}{177}
|
||||
\indexentry{incertitude@incertitude}{177}
|
||||
\indexentry{tableau}{177}
|
||||
\indexentry{incertitude@incertitude}{177}
|
||||
\indexentry{annexe}{177}
|
||||
\indexentry{ecart@\IeC {\'e}cart}{177}
|
||||
\indexentry{erreur}{177}
|
||||
\indexentry{erreur}{177}
|
||||
\indexentry{erreur!syst\IeC {\'e}matique}{178}
|
||||
\indexentry{exemple de calcul}{178}
|
||||
\indexentry{incertitude@incertitude}{178}
|
||||
\indexentry{discussion}{178}
|
||||
\indexentry{conclusion du travail pratique}{178}
|
||||
\indexentry{nebuleuse@n\IeC {\'e}buleuse!du crabe}{179}
|
||||
\indexentry{etoile@\IeC {\'e}toile!\IeC {\`a} neutrons}{179}
|
||||
\indexentry{pulsar}{179}
|
||||
\indexentry{expansion}{179}
|
||||
\indexentry{filaments}{179}
|
||||
\indexentry{etoile@\IeC {\'e}toile!nouvelle}{179}
|
||||
\indexentry{pendule}{179}
|
||||
\indexentry{grandeur}{179}
|
||||
\indexentry{periode@p\IeC {\'e}riode}{179}
|
||||
\indexentry{variable}{179}
|
||||
\indexentry{parametre@param\IeC {\`e}tre}{179}
|
||||
\indexentry{incertitude@incertitude}{180}
|
||||
\indexentry{clarte@clart\IeC {\'e}}{180}
|
||||
\indexentry{mouvement!simple}{180}
|
||||
\indexentry{MRU}{180}
|
||||
\indexentry{graphe horaire}{180}
|
||||
\indexentry{mouvement!simple}{180}
|
||||
\indexentry{MRUA}{180}
|
||||
\indexentry{rail incline@rail inclin\IeC {\'e}}{180}
|
||||
\indexentry{Galilee@Galil\IeC {\'e}e}{181}
|
||||
\indexentry{plan incline@plan inclin\IeC {\'e}}{181}
|
||||
\indexentry{chute libre}{181}
|
||||
\indexentry{MRUA}{181}
|
||||
\indexentry{canon}{181}
|
||||
\indexentry{balistique}{181}
|
||||
\indexentry{energie@\IeC {\'e}nergie}{182}
|
||||
\indexentry{seconde!loi!de Newton}{182}
|
||||
\indexentry{MRUA}{182}
|
||||
\indexentry{acc\IeC {\'e}l\IeC {\'e}ration}{182}
|
||||
\indexentry{rotation!de la terre}{183}
|
||||
\indexentry{equateur@\IeC {\'e}quateur!terrestre}{183}
|
||||
\indexentry{periode@p\IeC {\'e}riode!sid\IeC {\'e}rale}{183}
|
||||
\indexentry{inertie}{183}
|
||||
\indexentry{rotation!de la Terre}{183}
|
||||
\indexentry{Soleil}{183}
|
||||
\indexentry{inertie}{183}
|
||||
\indexentry{relativit\IeC {\'e}}{184}
|
||||
\indexentry{immobilite de la terre@immobilit\IeC {\'e} de la terre}{184}
|
||||
\indexentry{inertie}{184}
|
||||
\indexentry{orbite!elliptique}{184}
|
||||
\indexentry{Ptolemee@Ptol\IeC {\'e}m\IeC {\'e}e}{184}
|
||||
\indexentry{epicycle@\IeC {\'e}picycle}{184}
|
||||
\indexentry{retrogradation@r\IeC {\'e}trogradation}{184}
|
||||
\indexentry{orbite!de mars}{184}
|
||||
\indexentry{Tycho Brahe@Tycho Brah\IeC {\'e}}{184}
|
||||
\indexentry{orbite!circulaire}{185}
|
||||
\indexentry{rotation!du Soleil}{185}
|
||||
\indexentry{Voie Lact\IeC {\'e}e}{185}
|
||||
\indexentry{periode@p\IeC {\'e}riode!sid\IeC {\'e}rale}{185}
|
||||
\indexentry{inertie}{185}
|
||||
\indexentry{equateur@\IeC {\'e}quateur}{185}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel}{185}
|
||||
\indexentry{Local Standard of Rest}{186}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel}{186}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!absolu}{186}
|
||||
\indexentry{relativit\IeC {\'e}!restreinte}{186}
|
||||
\indexentry{Michelson et Morley}{186}
|
||||
\indexentry{position}{187}
|
||||
\indexentry{seconde!loi!de Newton}{191}
|
||||
\indexentry{mouvement!circulaire!uniforme}{191}
|
||||
\indexentry{loi!de la gravitation universelle}{191}
|
||||
\indexentry{altitude}{191}
|
||||
\indexentry{satellite}{191}
|
||||
\indexentry{orbite}{191}
|
||||
\indexentry{geostationnaire@g\IeC {\'e}ostationnaire}{191}
|
||||
\indexentry{periode@p\IeC {\'e}riode}{191}
|
||||
\indexentry{relativite@relativit\IeC {\'e}}{193}
|
||||
\indexentry{Einstein}{193}
|
||||
\indexentry{dilatation du temps}{193}
|
||||
\indexentry{courbure de l'espace}{193}
|
||||
\indexentry{maree@mar\IeC {\'e}e}{195}
|
||||
\indexentry{zenith@z\IeC {\'e}nith}{195}
|
||||
\indexentry{centre de gravit\IeC {\'e}}{195}
|
||||
\indexentry{Bruno Giordano}{193}
|
||||
\indexentry{Galilee@Galil\IeC {\'e}e}{193}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!galil\IeC {\'e}enne}{193}
|
||||
\indexentry{vitesse!constante}{193}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!restreinte}{193}
|
||||
\indexentry{Bruno Giordano}{194}
|
||||
\indexentry{pluralite@pluralit\IeC {\'e} des mondes}{194}
|
||||
\indexentry{transformation!galil\IeC {\'e}enne}{194}
|
||||
\indexentry{invariance!du temps}{194}
|
||||
\indexentry{theoreme@th\IeC {\'e}or\IeC {\`e}me!d'addition des vitesses}{194}
|
||||
\indexentry{invariance}{195}
|
||||
\indexentry{MRU}{195}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!de Galil\IeC {\'e}e}{195}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!restreinte}{195}
|
||||
\indexentry{seconde loi}{195}
|
||||
\indexentry{invariance!formelle}{195}
|
||||
\indexentry{Bruno Giordano}{195}
|
||||
\indexentry{force@force!inertielle}{195}
|
||||
\indexentry{invariance}{195}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!restreinte}{195}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!inertiel}{195}
|
||||
\indexentry{mouvement!rectiligne uniforme}{195}
|
||||
\indexentry{force@force!d'inertie}{195}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!tournant}{195}
|
||||
\indexentry{pseudo-force!centrifuge}{195}
|
||||
\indexentry{poids!relatif}{195}
|
||||
\indexentry{centre de gravit\IeC {\'e}}{195}
|
||||
\indexentry{mouvement!circulaire uniforme}{196}
|
||||
\indexentry{acceleration@acc\IeC {\'e}l\IeC {\'e}ration!centrip\IeC {\`e}te}{196}
|
||||
\indexentry{vitesse!lin\IeC {\'e}aire}{196}
|
||||
\indexentry{vitesse!angulaire}{196}
|
||||
\indexentry{vitesse!angulaire}{196}
|
||||
\indexentry{force@force!centrifuge}{195}
|
||||
\indexentry{force@force!d'inertie}{195}
|
||||
\indexentry{seconde loi}{195}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!non inertiel}{195}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!tournant}{196}
|
||||
\indexentry{force@force!fictive}{196}
|
||||
\indexentry{force@force!d'inertie}{196}
|
||||
\indexentry{poids!relatif}{197}
|
||||
\indexentry{force@force!d'inertie}{197}
|
||||
\indexentry{balance}{197}
|
||||
\indexentry{force@force!de mar\IeC {\'e}e}{197}
|
||||
\indexentry{pleine mer}{197}
|
||||
\indexentry{basse mer}{197}
|
||||
\indexentry{pleine mer}{198}
|
||||
\indexentry{basse mer}{198}
|
||||
\indexentry{zenith@z\IeC {\'e}nith}{198}
|
||||
\indexentry{maree@mar\IeC {\'e}e!de vives et mortes eaux}{198}
|
||||
\indexentry{marnage}{198}
|
||||
\indexentry{vive eau}{198}
|
||||
\indexentry{morte eau}{198}
|
||||
\indexentry{nouvelle lune}{198}
|
||||
\indexentry{pleine lune}{198}
|
||||
\indexentry{maree@mar\IeC {\'e}e!d'\IeC {\'e}quinoxe}{198}
|
||||
\indexentry{solstice}{198}
|
||||
\indexentry{equinoxe@\IeC {\'e}quinoxe}{198}
|
||||
\indexentry{ecliptique@\IeC {\'e}cliptique}{198}
|
||||
\indexentry{maree@mar\IeC {\'e}e!de p\IeC {\'e}rig\IeC {\'e}e}{199}
|
||||
\indexentry{maree@mar\IeC {\'e}e!de p\IeC {\'e}rih\IeC {\'e}lie}{199}
|
||||
\indexentry{ellipse}{199}
|
||||
\indexentry{perigee@p\IeC {\'e}rig\IeC {\'e}e}{199}
|
||||
\indexentry{apogee@apog\IeC {\'e}e}{199}
|
||||
\indexentry{ellipse}{199}
|
||||
\indexentry{perihelie@p\IeC {\'e}rih\IeC {\'e}lie}{199}
|
||||
\indexentry{aphelie@aph\IeC {\'e}lie}{199}
|
||||
\indexentry{maree@mar\IeC {\'e}e!de d\IeC {\'e}clinaison}{199}
|
||||
\indexentry{ecliptique@\IeC {\'e}cliptique}{199}
|
||||
\indexentry{maree@mar\IeC {\'e}e!c\IeC {\^o}ti\IeC {\`e}re}{199}
|
||||
\indexentry{limite de Roche}{199}
|
||||
\indexentry{croute terrestre}{199}
|
||||
\indexentry{Io}{199}
|
||||
\indexentry{volcanisme}{199}
|
||||
\indexentry{anneau d'ast\IeC {\'e}ro\IeC {\"\i }des}{200}
|
||||
\indexentry{Saturne}{200}
|
||||
\indexentry{energie@\IeC {\'e}nergie!hydraulique}{203}
|
||||
\indexentry{barrage}{203}
|
||||
\indexentry{turbine}{203}
|
||||
\indexentry{conduite forcee@conduite forc\IeC {\'e}e}{203}
|
||||
\indexentry{debit@d\IeC {\'e}bit!am\IeC {\'e}nag\IeC {\'e}}{203}
|
||||
\indexentry{debit@d\IeC {\'e}bit!de restitution}{203}
|
||||
\indexentry{puissance!install\IeC {\'e}e}{203}
|
||||
\indexentry{regle de Betz@r\IeC {\`e}gle de Betz}{204}
|
||||
\indexentry{eolienne@\IeC {\'e}olienne}{204}
|
||||
\indexentry{pale}{204}
|
||||
\indexentry{limite de Betz}{205}
|
||||
\indexentry{eolienne@\IeC {\'e}olienne}{205}
|
||||
\indexentry{mat@m\IeC {\^a}t}{205}
|
||||
\indexentry{pale}{205}
|
||||
\indexentry{limite de Betz}{205}
|
||||
\indexentry{barrage}{205}
|
||||
\indexentry{eolienne@\IeC {\'e}olienne}{205}
|
||||
\indexentry{mat@m\IeC {\^a}t}{205}
|
||||
\indexentry{pale}{205}
|
||||
\indexentry{barrage}{205}
|
||||
\indexentry{geothermie@g\IeC {\'e}othermie}{205}
|
||||
\indexentry{forage}{206}
|
||||
\indexentry{energie@\IeC {\'e}nergie!de combustion!des d\IeC {\'e}chets}{206}
|
||||
\indexentry{barrage}{206}
|
||||
\indexentry{Alpha du Centaure}{207}
|
||||
\indexentry{parsec}{207}
|
||||
\indexentry{Alexandrie}{207}
|
||||
\indexentry{Eratosthene@\IeC {\'E}ratosth\IeC {\`e}ne}{207}
|
||||
\indexentry{zenith@z\IeC {\'e}nith}{207}
|
||||
\indexentry{rayon de la Terre}{207}
|
||||
\indexentry{proc\IeC {\'e}dure}{210}
|
||||
\indexentry{Atwood}{211}
|
||||
\indexentry{Atwood}{212}
|
||||
\indexentry{chiffres@chiffres!significatifs}{243}
|
||||
\indexentry{notation@notation!scientifique}{244}
|
||||
\indexentry{ordre@ordre!de grandeur}{244}
|
||||
\indexentry{notation@notation!d'ing\IeC {\'e}nieur}{244}
|
||||
\indexentry{ecart@\IeC {\'e}cart}{244}
|
||||
\indexentry{erreur@erreur}{244}
|
||||
\indexentry{erreur@erreur!syst\IeC {\'e}matique}{244}
|
||||
\indexentry{signe@signe!des \IeC {\'e}carts}{244}
|
||||
\indexentry{erreur@erreur!syst\IeC {\'e}matique}{244}
|
||||
\indexentry{ecart@\IeC {\'e}cart!relatif}{244}
|
||||
\indexentry{erreur@erreur!relative}{244}
|
||||
\indexentry{enclassement@enclassement}{245}
|
||||
\indexentry{ecart@\IeC {\'e}cart!type}{245}
|
||||
\indexentry{population@population}{246}
|
||||
\indexentry{echantillon@\IeC {\'e}chantillon}{246}
|
||||
\indexentry{incertitude@incertitude}{246}
|
||||
\indexentry{incertitude@incertitude!absolue}{246}
|
||||
\indexentry{incertitude@incertitude!somme}{247}
|
||||
\indexentry{incertitude@incertitude!soustraction}{247}
|
||||
\indexentry{incertitude@incertitude!multiplication par un entier}{247}
|
||||
\indexentry{incertitude@incertitude!multiplication}{247}
|
||||
\indexentry{incertitude@incertitude!relative}{247}
|
||||
\indexentry{incertitude@incertitude!multiplication}{248}
|
||||
\indexentry{incertitude@incertitude!division}{248}
|
||||
\indexentry{incertitude@incertitude!puissance}{248}
|
||||
\indexentry{incertitude@incertitude!relative}{248}
|
||||
\indexentry{incertitude@incertitude!absolue}{248}
|
||||
\indexentry{incertitude@incertitude!addition}{248}
|
||||
\indexentry{incertitude@incertitude!soustraction}{248}
|
||||
\indexentry{incertitude@incertitude!multiplication}{248}
|
||||
\indexentry{incertitude@incertitude!division}{248}
|
||||
\indexentry{incertitude@incertitude!multiplication par un entier}{248}
|
||||
\indexentry{incertitude@incertitude!puissance}{248}
|
||||
\indexentry{incertitude@incertitude!\IeC {\'e}nergie potentielle}{249}
|
||||
\indexentry{incertitude@incertitude!\IeC {\'e}nergie cin\IeC {\'e}tique}{249}
|
||||
\indexentry{incertitude@incertitude!vitesse chute libre}{249}
|
||||
\indexentry{champ!de gravitation}{196}
|
||||
\indexentry{invariance}{196}
|
||||
\indexentry{transformation!de Galil\IeC {\'e}e}{196}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!galil\IeC {\'e}enne}{196}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!g\IeC {\'e}n\IeC {\'e}rale}{196}
|
||||
\indexentry{acceleration@acc\IeC {\'e}l\IeC {\'e}ration!centrip\IeC {\`e}te}{196}
|
||||
\indexentry{cinematique@cin\IeC {\'e}matique}{196}
|
||||
\indexentry{invariance!formelle}{196}
|
||||
\indexentry{force@force!d'inertie}{196}
|
||||
\indexentry{force@force!fictive}{196}
|
||||
\indexentry{pseudo-force}{196}
|
||||
\indexentry{force@force!centrifuge}{196}
|
||||
\indexentry{force@force!centrifuge}{196}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!non inertiel}{196}
|
||||
\indexentry{pseudo-force}{196}
|
||||
\indexentry{force@force!de gravitation}{196}
|
||||
\indexentry{courbure de l'espace}{197}
|
||||
\indexentry{maree@mar\IeC {\'e}e}{199}
|
||||
\indexentry{zenith@z\IeC {\'e}nith}{199}
|
||||
\indexentry{centre de gravit\IeC {\'e}}{199}
|
||||
\indexentry{force@force!d'inertie}{199}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!tournant}{199}
|
||||
\indexentry{pseudo-force!centrifuge}{199}
|
||||
\indexentry{poids!relatif}{199}
|
||||
\indexentry{centre de gravit\IeC {\'e}}{199}
|
||||
\indexentry{mouvement!circulaire uniforme}{200}
|
||||
\indexentry{acceleration@acc\IeC {\'e}l\IeC {\'e}ration!centrip\IeC {\`e}te}{200}
|
||||
\indexentry{vitesse!lin\IeC {\'e}aire}{200}
|
||||
\indexentry{vitesse!angulaire}{200}
|
||||
\indexentry{vitesse!angulaire}{200}
|
||||
\indexentry{force@force!d'inertie}{200}
|
||||
\indexentry{poids!relatif}{201}
|
||||
\indexentry{force@force!d'inertie}{201}
|
||||
\indexentry{balance}{201}
|
||||
\indexentry{force@force!de mar\IeC {\'e}e}{201}
|
||||
\indexentry{pleine mer}{201}
|
||||
\indexentry{basse mer}{201}
|
||||
\indexentry{pleine mer}{202}
|
||||
\indexentry{basse mer}{202}
|
||||
\indexentry{zenith@z\IeC {\'e}nith}{202}
|
||||
\indexentry{maree@mar\IeC {\'e}e!de vives et mortes eaux}{202}
|
||||
\indexentry{marnage}{202}
|
||||
\indexentry{vive eau}{202}
|
||||
\indexentry{morte eau}{202}
|
||||
\indexentry{nouvelle lune}{202}
|
||||
\indexentry{pleine lune}{202}
|
||||
\indexentry{maree@mar\IeC {\'e}e!d'\IeC {\'e}quinoxe}{202}
|
||||
\indexentry{solstice}{202}
|
||||
\indexentry{equinoxe@\IeC {\'e}quinoxe}{202}
|
||||
\indexentry{ecliptique@\IeC {\'e}cliptique}{202}
|
||||
\indexentry{maree@mar\IeC {\'e}e!de p\IeC {\'e}rig\IeC {\'e}e}{203}
|
||||
\indexentry{maree@mar\IeC {\'e}e!de p\IeC {\'e}rih\IeC {\'e}lie}{203}
|
||||
\indexentry{ellipse}{203}
|
||||
\indexentry{perigee@p\IeC {\'e}rig\IeC {\'e}e}{203}
|
||||
\indexentry{apogee@apog\IeC {\'e}e}{203}
|
||||
\indexentry{ellipse}{203}
|
||||
\indexentry{perihelie@p\IeC {\'e}rih\IeC {\'e}lie}{203}
|
||||
\indexentry{aphelie@aph\IeC {\'e}lie}{203}
|
||||
\indexentry{maree@mar\IeC {\'e}e!de d\IeC {\'e}clinaison}{203}
|
||||
\indexentry{ecliptique@\IeC {\'e}cliptique}{203}
|
||||
\indexentry{maree@mar\IeC {\'e}e!c\IeC {\^o}ti\IeC {\`e}re}{203}
|
||||
\indexentry{limite de Roche}{203}
|
||||
\indexentry{croute terrestre}{203}
|
||||
\indexentry{Io}{203}
|
||||
\indexentry{volcanisme}{203}
|
||||
\indexentry{anneau d'ast\IeC {\'e}ro\IeC {\"\i }des}{204}
|
||||
\indexentry{Saturne}{204}
|
||||
\indexentry{energie@\IeC {\'e}nergie!hydraulique}{207}
|
||||
\indexentry{barrage}{207}
|
||||
\indexentry{turbine}{207}
|
||||
\indexentry{conduite forcee@conduite forc\IeC {\'e}e}{207}
|
||||
\indexentry{debit@d\IeC {\'e}bit!am\IeC {\'e}nag\IeC {\'e}}{207}
|
||||
\indexentry{debit@d\IeC {\'e}bit!de restitution}{207}
|
||||
\indexentry{puissance!install\IeC {\'e}e}{207}
|
||||
\indexentry{regle de Betz@r\IeC {\`e}gle de Betz}{208}
|
||||
\indexentry{eolienne@\IeC {\'e}olienne}{208}
|
||||
\indexentry{pale}{208}
|
||||
\indexentry{limite de Betz}{209}
|
||||
\indexentry{eolienne@\IeC {\'e}olienne}{209}
|
||||
\indexentry{mat@m\IeC {\^a}t}{209}
|
||||
\indexentry{pale}{209}
|
||||
\indexentry{limite de Betz}{209}
|
||||
\indexentry{barrage}{209}
|
||||
\indexentry{eolienne@\IeC {\'e}olienne}{209}
|
||||
\indexentry{mat@m\IeC {\^a}t}{209}
|
||||
\indexentry{pale}{209}
|
||||
\indexentry{barrage}{209}
|
||||
\indexentry{geothermie@g\IeC {\'e}othermie}{209}
|
||||
\indexentry{forage}{210}
|
||||
\indexentry{energie@\IeC {\'e}nergie!de combustion!des d\IeC {\'e}chets}{210}
|
||||
\indexentry{barrage}{210}
|
||||
\indexentry{Alpha du Centaure}{211}
|
||||
\indexentry{parsec}{211}
|
||||
\indexentry{Alexandrie}{211}
|
||||
\indexentry{Eratosthene@\IeC {\'E}ratosth\IeC {\`e}ne}{211}
|
||||
\indexentry{zenith@z\IeC {\'e}nith}{211}
|
||||
\indexentry{rayon de la Terre}{211}
|
||||
\indexentry{proc\IeC {\'e}dure}{214}
|
||||
\indexentry{Atwood}{215}
|
||||
\indexentry{Atwood}{216}
|
||||
\indexentry{chiffres@chiffres!significatifs}{247}
|
||||
\indexentry{notation@notation!scientifique}{248}
|
||||
\indexentry{ordre@ordre!de grandeur}{248}
|
||||
\indexentry{notation@notation!d'ing\IeC {\'e}nieur}{248}
|
||||
\indexentry{ecart@\IeC {\'e}cart}{248}
|
||||
\indexentry{erreur@erreur}{248}
|
||||
\indexentry{erreur@erreur!syst\IeC {\'e}matique}{248}
|
||||
\indexentry{signe@signe!des \IeC {\'e}carts}{248}
|
||||
\indexentry{erreur@erreur!syst\IeC {\'e}matique}{248}
|
||||
\indexentry{ecart@\IeC {\'e}cart!relatif}{248}
|
||||
\indexentry{erreur@erreur!relative}{248}
|
||||
\indexentry{enclassement@enclassement}{249}
|
||||
\indexentry{ecart@\IeC {\'e}cart!type}{249}
|
||||
\indexentry{population@population}{250}
|
||||
\indexentry{echantillon@\IeC {\'e}chantillon}{250}
|
||||
\indexentry{incertitude@incertitude}{250}
|
||||
\indexentry{incertitude@incertitude!absolue}{250}
|
||||
\indexentry{incertitude@incertitude!somme}{251}
|
||||
\indexentry{incertitude@incertitude!soustraction}{251}
|
||||
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|
||||
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|
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|
||||
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||||
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|
||||
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||||
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||||
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||||
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||||
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||||
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||||
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|
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56i,29n,92p,2745b,548s stack positions out of 5000i,500n,10000p,200000b,80000s
|
||||
|
||||
Output written on CoursMecaniqueOSDF.dvi (264 pages, 1669324 bytes).
|
||||
Output written on CoursMecaniqueOSDF.dvi (268 pages, 1690180 bytes).
|
||||
|
||||
@ -12,25 +12,26 @@
|
||||
\addvspace {10\p@ }
|
||||
\addvspace {10\p@ }
|
||||
\addvspace {10\p@ }
|
||||
\contentsline {table}{\numberline {9.1}{\ignorespaces C\oe fficient de dilatation lin\IeC {\'e}aire\relax }}{129}
|
||||
\contentsline {table}{\numberline {9.2}{\ignorespaces Chaleur sp\IeC {\'e}cifique\relax }}{129}
|
||||
\contentsline {table}{\numberline {9.3}{\ignorespaces Chaleur latente\relax }}{130}
|
||||
\addvspace {10\p@ }
|
||||
\contentsline {table}{\numberline {10.1}{\ignorespaces Coefficient de dilatation lin\IeC {\'e}aire\relax }}{134}
|
||||
\contentsline {table}{\numberline {10.2}{\ignorespaces Coefficient de dilatation volumique\relax }}{135}
|
||||
\contentsline {table}{\numberline {10.3}{\ignorespaces Chaleur massique\relax }}{136}
|
||||
\contentsline {table}{\numberline {10.4}{\ignorespaces Chaleur latente\relax }}{137}
|
||||
\contentsline {table}{\numberline {10.5}{\ignorespaces \IeC {\'E}tats caract\IeC {\'e}ristiques\relax }}{148}
|
||||
\contentsline {table}{\numberline {10.6}{\ignorespaces Grandeurs caract\IeC {\'e}ristiques\relax }}{150}
|
||||
\contentsline {table}{\numberline {10.1}{\ignorespaces C\oe fficient de dilatation lin\IeC {\'e}aire\relax }}{133}
|
||||
\contentsline {table}{\numberline {10.2}{\ignorespaces Chaleur sp\IeC {\'e}cifique\relax }}{133}
|
||||
\contentsline {table}{\numberline {10.3}{\ignorespaces Chaleur latente\relax }}{134}
|
||||
\addvspace {10\p@ }
|
||||
\contentsline {table}{\numberline {A.1}{\ignorespaces Les unit\IeC {\'e}s du Syst\IeC {\`e}me International\relax }}{160}
|
||||
\contentsline {table}{\numberline {A.2}{\ignorespaces Conversions d'unit\IeC {\'e}s\relax }}{160}
|
||||
\contentsline {table}{\numberline {A.3}{\ignorespaces Quelques \IeC {\'e}quivalents\relax }}{160}
|
||||
\contentsline {table}{\numberline {A.4}{\ignorespaces Multiples et sous-multiples\relax }}{161}
|
||||
\contentsline {table}{\numberline {11.1}{\ignorespaces Coefficient de dilatation lin\IeC {\'e}aire\relax }}{138}
|
||||
\contentsline {table}{\numberline {11.2}{\ignorespaces Coefficient de dilatation volumique\relax }}{139}
|
||||
\contentsline {table}{\numberline {11.3}{\ignorespaces Chaleur massique\relax }}{140}
|
||||
\contentsline {table}{\numberline {11.4}{\ignorespaces Chaleur latente\relax }}{141}
|
||||
\contentsline {table}{\numberline {11.5}{\ignorespaces \IeC {\'E}tats caract\IeC {\'e}ristiques\relax }}{152}
|
||||
\contentsline {table}{\numberline {11.6}{\ignorespaces Grandeurs caract\IeC {\'e}ristiques\relax }}{154}
|
||||
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|
||||
\contentsline {table}{\numberline {A.1}{\ignorespaces Les unit\IeC {\'e}s du Syst\IeC {\`e}me International\relax }}{164}
|
||||
\contentsline {table}{\numberline {A.2}{\ignorespaces Conversions d'unit\IeC {\'e}s\relax }}{164}
|
||||
\contentsline {table}{\numberline {A.3}{\ignorespaces Quelques \IeC {\'e}quivalents\relax }}{164}
|
||||
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|
||||
\addvspace {10\p@ }
|
||||
\addvspace {10\p@ }
|
||||
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|
||||
\contentsline {table}{\numberline {D.1}{\ignorespaces Tableau de mesures\relax }}{173}
|
||||
\contentsline {table}{\numberline {D.1}{\ignorespaces Tableau de mesures\relax }}{177}
|
||||
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|
||||
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|
||||
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|
||||
@ -40,6 +41,6 @@
|
||||
\addvspace {10\p@ }
|
||||
\addvspace {10\p@ }
|
||||
\addvspace {10\p@ }
|
||||
\contentsline {table}{\numberline {M.1}{\ignorespaces La longueur des baguettes de pain\relax }}{244}
|
||||
\contentsline {table}{\numberline {M.2}{\ignorespaces La longueur d'autres baguettes de pain\relax }}{245}
|
||||
\contentsline {table}{\numberline {M.3}{\ignorespaces Des centaines de baguettes de pain\relax }}{245}
|
||||
\contentsline {table}{\numberline {M.1}{\ignorespaces La longueur des baguettes de pain\relax }}{248}
|
||||
\contentsline {table}{\numberline {M.2}{\ignorespaces La longueur d'autres baguettes de pain\relax }}{249}
|
||||
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|
||||
|
||||
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@ -101,6 +101,9 @@
|
||||
% inclusion de lénergie (OS)
|
||||
\opt{OS}{\include{EnergieOS/EnergieOS}}
|
||||
|
||||
% inclusion de la physique théorique
|
||||
\opt{OS}{\include{PhysiqueTheorique/PhysiqueTheorique}}
|
||||
|
||||
% inclusion du chapitre de thermodynamique
|
||||
\include{Thermodynamique/Thermodynamique}
|
||||
|
||||
|
||||
@ -101,6 +101,9 @@
|
||||
% inclusion de lénergie (OS)
|
||||
\opt{OS}{\include{EnergieOS/EnergieOS}}
|
||||
|
||||
% inclusion de la physique théorique
|
||||
\opt{OS}{\include{PhysiqueTheorique/PhysiqueTheorique}}
|
||||
|
||||
% inclusion du chapitre de thermodynamique
|
||||
\include{Thermodynamique/Thermodynamique}
|
||||
|
||||
|
||||
@ -207,208 +207,210 @@
|
||||
\contentsline {subsubsection}{Le ressort}{125}
|
||||
\contentsline {subsection}{\numberline {8.6.3}G\IeC {\'e}n\IeC {\'e}ralisation}{125}
|
||||
\contentsline {subsubsection}{\IeC {\'E}nergie gravifique}{126}
|
||||
\contentsline {chapter}{\numberline {9}Thermodynamique}{127}
|
||||
\contentsline {section}{\numberline {9.1}Introduction}{127}
|
||||
\contentsline {section}{\numberline {9.2}Temp\IeC {\'e}rature}{127}
|
||||
\contentsline {subsection}{\numberline {9.2.1}Celsius}{127}
|
||||
\contentsline {subsection}{\numberline {9.2.2}Fahrenheit}{127}
|
||||
\contentsline {subsection}{\numberline {9.2.3}Kelvin}{128}
|
||||
\contentsline {subsection}{\numberline {9.2.4}Agitation mol\IeC {\'e}culaire}{128}
|
||||
\contentsline {section}{\numberline {9.3}Dilatation}{128}
|
||||
\contentsline {section}{\numberline {9.4}Chaleur}{129}
|
||||
\contentsline {subsection}{\numberline {9.4.1}Chaleur sp\IeC {\'e}cifique}{129}
|
||||
\contentsline {subsection}{\numberline {9.4.2}Chaleur latente}{129}
|
||||
\contentsline {section}{\numberline {9.5}\IeC {\'E}nergie thermique}{130}
|
||||
\contentsline {subsection}{\numberline {9.5.1}Premier principe}{131}
|
||||
\contentsline {chapter}{\numberline {10}Thermodynamique}{133}
|
||||
\contentsline {section}{\numberline {10.1}Temp\IeC {\'e}rature et dilatation}{133}
|
||||
\contentsline {subsection}{\numberline {10.1.1}Temp\IeC {\'e}rature}{133}
|
||||
\contentsline {subsection}{\numberline {10.1.2}Dilatation}{133}
|
||||
\contentsline {section}{\numberline {10.2}Chaleurs sp\IeC {\'e}cifique et latente}{135}
|
||||
\contentsline {subsection}{\numberline {10.2.1}Introduction}{135}
|
||||
\contentsline {subsection}{\numberline {10.2.2}Chaleur sp\IeC {\'e}cifique}{135}
|
||||
\contentsline {subsubsection}{Chaleur massique}{135}
|
||||
\contentsline {subsubsection}{Capacit\IeC {\'e} thermique}{136}
|
||||
\contentsline {subsubsection}{Notion de mole}{136}
|
||||
\contentsline {subsubsection}{Chaleur molaire}{136}
|
||||
\contentsline {subsubsection}{Relation entre chaleur massique et molaire}{137}
|
||||
\contentsline {subsubsection}{Chaleur latente}{137}
|
||||
\contentsline {subsubsection}{\IeC {\'E}vaporation}{137}
|
||||
\contentsline {subsection}{\numberline {10.2.3}Bilan thermique}{138}
|
||||
\contentsline {section}{\numberline {10.3}Loi des gaz parfaits}{139}
|
||||
\contentsline {subsection}{\numberline {10.3.1}\IeC {\'E}quation d'\IeC {\'e}tat}{139}
|
||||
\contentsline {subsubsection}{Pression}{139}
|
||||
\contentsline {subsubsection}{\IeC {\'E}tat d'un gaz parfait}{139}
|
||||
\contentsline {subsubsection}{Approche intuitive}{139}
|
||||
\contentsline {subsubsection}{Approche mol\IeC {\'e}culaire}{140}
|
||||
\contentsline {subsection}{\numberline {10.3.2}Gaz parfait}{141}
|
||||
\contentsline {section}{\numberline {10.4}Premier principe}{141}
|
||||
\contentsline {subsection}{\numberline {10.4.1}Chaleur}{141}
|
||||
\contentsline {subsection}{\numberline {10.4.2}Travail}{142}
|
||||
\contentsline {subsection}{\numberline {10.4.3}\IeC {\'E}nergie interne}{142}
|
||||
\contentsline {subsubsection}{\IeC {\'E}quipartition de l'\IeC {\'e}nergie}{143}
|
||||
\contentsline {subsection}{\numberline {10.4.4}Premier principe}{143}
|
||||
\contentsline {subsection}{\numberline {10.4.5}Changements d'\IeC {\'e}tats}{143}
|
||||
\contentsline {subsubsection}{Transformation isobare}{144}
|
||||
\contentsline {subsubsection}{Transformation isochore}{144}
|
||||
\contentsline {subsubsection}{Transformation isotherme}{145}
|
||||
\contentsline {subsubsection}{Transformation adiabatique}{146}
|
||||
\contentsline {subsection}{\numberline {10.4.6}Chaleurs sp\IeC {\'e}cifiques}{147}
|
||||
\contentsline {section}{\numberline {10.5}Machines thermiques}{148}
|
||||
\contentsline {subsection}{\numberline {10.5.1}Machine simple}{148}
|
||||
\contentsline {subsection}{\numberline {10.5.2}Moteur \IeC {\`a} explosion}{150}
|
||||
\contentsline {subsection}{\numberline {10.5.3}Moteur Diesel}{152}
|
||||
\contentsline {subsection}{\numberline {10.5.4}Machine de Stirling}{154}
|
||||
\contentsline {subsection}{\numberline {10.5.5}Climatiseur}{154}
|
||||
\contentsline {subsection}{\numberline {10.5.6}R\IeC {\'e}frig\IeC {\'e}rateur}{154}
|
||||
\contentsline {subsection}{\numberline {10.5.7}Pompe \IeC {\`a} chaleur}{154}
|
||||
\contentsline {subsection}{\numberline {10.5.8}Cycle de Carnot}{154}
|
||||
\contentsline {section}{\numberline {10.6}Thermodynamique statistique}{154}
|
||||
\contentsline {section}{\numberline {10.7}Second principe}{155}
|
||||
\contentsline {chapter}{\numberline {A}Syst\IeC {\`e}mes d'unit\IeC {\'e}s}{157}
|
||||
\contentsline {section}{\numberline {A.1}Introduction}{157}
|
||||
\contentsline {section}{\numberline {A.2}Op\IeC {\'e}rateur d'unit\IeC {\'e}s}{157}
|
||||
\contentsline {section}{\numberline {A.3}Analyse dimentionnelle}{158}
|
||||
\contentsline {section}{\numberline {A.4}Les unit\IeC {\'e}s du Syst\IeC {\`e}me International}{159}
|
||||
\contentsline {subsection}{\numberline {A.4.1}Exemple}{159}
|
||||
\contentsline {section}{\numberline {A.5}Conversions}{159}
|
||||
\contentsline {section}{\numberline {A.6}Sous-multiples}{160}
|
||||
\contentsline {section}{\numberline {A.7}Notation scientifique}{160}
|
||||
\contentsline {section}{\numberline {A.8}R\IeC {\`e}gles de calcul}{161}
|
||||
\contentsline {chapter}{\numberline {B}Deux syst\IeC {\`e}mes de coordonn\IeC {\'e}es}{163}
|
||||
\contentsline {section}{\numberline {B.1}Le syst\IeC {\`e}me de coordonn\IeC {\'e}es circulaires}{163}
|
||||
\contentsline {subsection}{\numberline {B.1.1}Introduction}{163}
|
||||
\contentsline {subsection}{\numberline {B.1.2}Description}{163}
|
||||
\contentsline {section}{\numberline {B.2}Coordonn\IeC {\'e}es sph\IeC {\'e}riques}{163}
|
||||
\contentsline {subsection}{\numberline {B.2.1}Introduction}{163}
|
||||
\contentsline {subsection}{\numberline {B.2.2}Description}{163}
|
||||
\contentsline {subsection}{\numberline {B.2.3}Latitude et longitude}{164}
|
||||
\contentsline {chapter}{\numberline {C}Mesures de distances}{165}
|
||||
\contentsline {section}{\numberline {C.1}La taille de la Terre}{165}
|
||||
\contentsline {subsection}{\numberline {C.1.1}Le principe}{165}
|
||||
\contentsline {subsection}{\numberline {C.1.2}Techniquement}{166}
|
||||
\contentsline {section}{\numberline {C.2}La taille de la Lune}{167}
|
||||
\contentsline {section}{\numberline {C.3}La distance Terre-Lune}{167}
|
||||
\contentsline {section}{\numberline {C.4}La distance Terre-Soleil}{168}
|
||||
\contentsline {section}{\numberline {C.5}La distance des \IeC {\'e}toiles}{170}
|
||||
\contentsline {chapter}{\numberline {D}Travaux pratiques}{171}
|
||||
\contentsline {section}{\numberline {D.1}Le rapport de laboratoire}{171}
|
||||
\contentsline {subsection}{\numberline {D.1.1}Plan d'un rapport de travail pratique}{172}
|
||||
\contentsline {subsubsection}{Pr\IeC {\'e}liminaires}{172}
|
||||
\contentsline {subsubsection}{R\IeC {\'e}sum\IeC {\'e}}{172}
|
||||
\contentsline {subsubsection}{But}{172}
|
||||
\contentsline {subsubsection}{Th\IeC {\'e}orie}{172}
|
||||
\contentsline {subsubsection}{Description de l'exp\IeC {\'e}rience}{172}
|
||||
\contentsline {subsubsection}{R\IeC {\'e}sultats}{172}
|
||||
\contentsline {subsubsection}{Discussion}{174}
|
||||
\contentsline {subsubsection}{Conclusion}{174}
|
||||
\contentsline {subsubsection}{Annexes}{174}
|
||||
\contentsline {section}{\numberline {D.2}La n\IeC {\'e}buleuse du Crabe}{175}
|
||||
\contentsline {subsection}{\numberline {D.2.1}Introduction}{175}
|
||||
\contentsline {subsection}{\numberline {D.2.2}But du travail pratique}{175}
|
||||
\contentsline {subsection}{\numberline {D.2.3}Dispositif exp\IeC {\'e}rimental}{175}
|
||||
\contentsline {subsection}{\numberline {D.2.4}Mesures}{175}
|
||||
\contentsline {subsection}{\numberline {D.2.5}R\IeC {\'e}sultats}{175}
|
||||
\contentsline {subsection}{\numberline {D.2.6}Analyse}{175}
|
||||
\contentsline {section}{\numberline {D.3}Le pendule simple}{175}
|
||||
\contentsline {subsection}{\numberline {D.3.1}Les mesures}{175}
|
||||
\contentsline {subsection}{\numberline {D.3.2}Organisation des donn\IeC {\'e}es et graphiques}{176}
|
||||
\contentsline {section}{\numberline {D.4}Mouvement simple : MRU}{176}
|
||||
\contentsline {subsection}{\numberline {D.4.1}Les mesures}{176}
|
||||
\contentsline {subsection}{\numberline {D.4.2}Organisation des donn\IeC {\'e}es et graphiques}{176}
|
||||
\contentsline {subsection}{\numberline {D.4.3}Analyse des r\IeC {\'e}sultats}{176}
|
||||
\contentsline {section}{\numberline {D.5}Mouvement simple :\\MRUA}{176}
|
||||
\contentsline {subsection}{\numberline {D.5.1}But}{176}
|
||||
\contentsline {subsection}{\numberline {D.5.2}Th\IeC {\'e}orie}{177}
|
||||
\contentsline {subsection}{\numberline {D.5.3}Les mesures}{177}
|
||||
\contentsline {subsection}{\numberline {D.5.4}Organisation des donn\IeC {\'e}es et graphiques}{177}
|
||||
\contentsline {subsection}{\numberline {D.5.5}Galil\IeC {\'e}e et le plan inclin\IeC {\'e}}{177}
|
||||
\contentsline {section}{\numberline {D.6}La chute libre}{177}
|
||||
\contentsline {subsection}{\numberline {D.6.1}Cette exp\IeC {\'e}rience donnant lieu \IeC {\`a} un rapport not\IeC {\'e}, elle n'est pas d\IeC {\'e}crite.}{177}
|
||||
\contentsline {subsection}{\numberline {D.6.2}R\IeC {\'e}sultats}{177}
|
||||
\contentsline {section}{\numberline {D.7}Le canon horizontal}{177}
|
||||
\contentsline {section}{\numberline {D.8}Le chariot \IeC {\`a} masse pendante}{178}
|
||||
\contentsline {chapter}{\numberline {E}Rotations}{179}
|
||||
\contentsline {section}{\numberline {E.1}Rotation de la Terre sur elle-m\IeC {\^e}me}{179}
|
||||
\contentsline {section}{\numberline {E.2}Rotation de la Terre autour du Soleil}{179}
|
||||
\contentsline {section}{\numberline {E.3}Rotation du Soleil dans la Voie Lact\IeC {\'e}e}{181}
|
||||
\contentsline {section}{\numberline {E.4}Vitesse et r\IeC {\'e}f\IeC {\'e}rentiel}{181}
|
||||
\contentsline {chapter}{\numberline {F}MRUA d\IeC {\'e}veloppements}{183}
|
||||
\contentsline {section}{\numberline {F.1}La position}{183}
|
||||
\contentsline {section}{\numberline {F.2}Une autre relation bien pratique}{183}
|
||||
\contentsline {subsection}{\numberline {F.2.1}Cin\IeC {\'e}matique}{183}
|
||||
\contentsline {subsection}{\numberline {F.2.2}\IeC {\'E}nergie}{184}
|
||||
\contentsline {chapter}{\numberline {G}Chute de la Lune}{185}
|
||||
\contentsline {section}{\numberline {G.1}Introduction}{185}
|
||||
\contentsline {section}{\numberline {G.2}Acc\IeC {\'e}l\IeC {\'e}ration}{185}
|
||||
\contentsline {section}{\numberline {G.3}Force de gravitation}{186}
|
||||
\contentsline {chapter}{\numberline {H}Satellite en orbite g\IeC {\'e}ostationnaire}{187}
|
||||
\contentsline {section}{\numberline {H.1}Introduction}{187}
|
||||
\contentsline {section}{\numberline {H.2}Th\IeC {\'e}oriquement}{187}
|
||||
\contentsline {section}{\numberline {H.3}Num\IeC {\'e}riquement}{188}
|
||||
\contentsline {section}{\numberline {H.4}Loi de Kepler}{188}
|
||||
\contentsline {chapter}{\numberline {I}Relativit\IeC {\'e}}{189}
|
||||
\contentsline {section}{\numberline {I.1}Relativit\IeC {\'e} galil\IeC {\'e}enne}{189}
|
||||
\contentsline {section}{\numberline {I.2}Transformation galil\IeC {\'e}enne}{190}
|
||||
\contentsline {section}{\numberline {I.3}Invariance}{191}
|
||||
\contentsline {section}{\numberline {I.4}Forces inertielles}{191}
|
||||
\contentsline {subsection}{\numberline {I.4.1}Force d'inertie}{191}
|
||||
\contentsline {subsection}{\numberline {I.4.2}Force centrifuge}{192}
|
||||
\contentsline {chapter}{\numberline {J}Mar\IeC {\'e}es}{195}
|
||||
\contentsline {section}{\numberline {J.1}Introduction}{195}
|
||||
\contentsline {section}{\numberline {J.2}Centre de gravit\IeC {\'e}}{195}
|
||||
\contentsline {section}{\numberline {J.3}Force d'inertie}{196}
|
||||
\contentsline {subsection}{\numberline {J.3.1}Vitesse angulaire}{196}
|
||||
\contentsline {subsection}{\numberline {J.3.2}Force d'inertie}{196}
|
||||
\contentsline {section}{\numberline {J.4}Poids relatif}{197}
|
||||
\contentsline {section}{\numberline {J.5}Analyse diff\IeC {\'e}rentielle}{197}
|
||||
\contentsline {section}{\numberline {J.6}Autres rythmes}{197}
|
||||
\contentsline {subsection}{\numberline {J.6.1}D\IeC {\'e}calages}{198}
|
||||
\contentsline {subsection}{\numberline {J.6.2}Mar\IeC {\'e}es de vives et mortes eaux}{198}
|
||||
\contentsline {subsection}{\numberline {J.6.3}Mar\IeC {\'e}es d'\IeC {\'e}quinoxes}{198}
|
||||
\contentsline {subsection}{\numberline {J.6.4}Mar\IeC {\'e}es de p\IeC {\'e}rig\IeC {\'e}e et p\IeC {\'e}rih\IeC {\'e}lie}{199}
|
||||
\contentsline {subsection}{\numberline {J.6.5}Mar\IeC {\'e}es de d\IeC {\'e}clinaison}{199}
|
||||
\contentsline {subsection}{\numberline {J.6.6}Retards et mar\IeC {\'e}es c\IeC {\^o}ti\IeC {\`e}res}{199}
|
||||
\contentsline {section}{\numberline {J.7}Limite de Roche}{199}
|
||||
\contentsline {subsection}{\numberline {J.7.1}Mod\IeC {\`e}le simplifi\IeC {\'e}}{200}
|
||||
\contentsline {subsection}{\numberline {J.7.2}Exemples}{201}
|
||||
\contentsline {chapter}{\numberline {K}\IeC {\'E}nergies}{203}
|
||||
\contentsline {section}{\numberline {K.1}Introduction}{203}
|
||||
\contentsline {section}{\numberline {K.2}\IeC {\'E}nergie hydraulique}{203}
|
||||
\contentsline {section}{\numberline {K.3}\IeC {\'E}nergie \IeC {\'e}olienne}{204}
|
||||
\contentsline {subsection}{\numberline {K.3.1}R\IeC {\`e}gle de Betz}{204}
|
||||
\contentsline {subsection}{\numberline {K.3.2}\IeC {\'E}oliennes}{205}
|
||||
\contentsline {subsubsection}{\IeC {\'E}olienne de Collonges-Dor\IeC {\'e}naz}{205}
|
||||
\contentsline {subsubsection}{\IeC {\'E}oliennes du Mont Soleil (Jura suisse)}{205}
|
||||
\contentsline {section}{\numberline {K.4}G\IeC {\'e}othermie}{205}
|
||||
\contentsline {section}{\numberline {K.5}\IeC {\'E}nergie de combustion des d\IeC {\'e}chets}{206}
|
||||
\contentsline {chapter}{\numberline {L}Exercices}{207}
|
||||
\contentsline {section}{\numberline {L.1}Probl\IeC {\`e}mes}{207}
|
||||
\contentsline {subsection}{\numberline {L.1.1}Relatifs \IeC {\`a} la conversion d'unit\IeC {\'e}s et \IeC {\`a} la notation scientifique}{207}
|
||||
\contentsline {subsection}{\numberline {L.1.2}Relatifs aux notions de d\IeC {\'e}placement, position et distance parcourue}{208}
|
||||
\contentsline {subsection}{\numberline {L.1.3}Relatifs \IeC {\`a} la notion de vitesse}{208}
|
||||
\contentsline {subsection}{\numberline {L.1.4}Relatif \IeC {\`a} la notion d'acc\IeC {\'e}l\IeC {\'e}ration}{208}
|
||||
\contentsline {subsection}{\numberline {L.1.5}Relatif au MRU}{209}
|
||||
\contentsline {subsection}{\numberline {L.1.6}Relatif au MRUA}{209}
|
||||
\contentsline {subsection}{\numberline {L.1.7}Relatifs \IeC {\`a} la physique aristot\IeC {\'e}licienne}{210}
|
||||
\contentsline {subsection}{\numberline {L.1.8}Relatifs \IeC {\`a} la physique newtonienne}{210}
|
||||
\contentsline {subsection}{\numberline {L.1.9}Relatifs aux forces}{213}
|
||||
\contentsline {subsection}{\numberline {L.1.10}Relatifs \IeC {\`a} l'\IeC {\'e}nergie}{214}
|
||||
\contentsline {subsection}{\numberline {L.1.11}Relatifs \IeC {\`a} la conservation de l'\IeC {\'e}nergie}{215}
|
||||
\contentsline {subsection}{\numberline {L.1.12}Relatifs \IeC {\`a} l'\IeC {\'e}nergie hydraulique}{215}
|
||||
\contentsline {subsection}{\numberline {L.1.13}Relatifs \IeC {\`a} l'\IeC {\'e}nergie \IeC {\'e}olienne}{215}
|
||||
\contentsline {subsection}{\numberline {L.1.14}Relatifs \IeC {\`a} l'\IeC {\'e}nergie solaire}{215}
|
||||
\contentsline {section}{\numberline {L.2}Solutions}{216}
|
||||
\contentsline {section}{\numberline {L.3}Solutions OS}{232}
|
||||
\contentsline {chapter}{\numberline {M}Ordre de grandeur, erreur et incertitudes}{243}
|
||||
\contentsline {section}{\numberline {M.1}Ordre de grandeur}{243}
|
||||
\contentsline {subsection}{\numberline {M.1.1}Chiffres significatifs}{243}
|
||||
\contentsline {subsection}{\numberline {M.1.2}Ordre de grandeur}{243}
|
||||
\contentsline {section}{\numberline {M.2}\IeC {\'E}cart et erreur}{244}
|
||||
\contentsline {section}{\numberline {M.3}Incertitude}{246}
|
||||
\contentsline {subsection}{\numberline {M.3.1}Addition/soustraction}{247}
|
||||
\contentsline {subsection}{\numberline {M.3.2}Multiplication par un entier}{247}
|
||||
\contentsline {subsection}{\numberline {M.3.3}Multiplication/division}{247}
|
||||
\contentsline {subsection}{\numberline {M.3.4}Puissance}{248}
|
||||
\contentsline {subsection}{\numberline {M.3.5}R\IeC {\'e}sum\IeC {\'e}}{248}
|
||||
\contentsline {subsection}{\numberline {M.3.6}Exemples}{249}
|
||||
\contentsline {chapter}{\numberline {9}Physique th\IeC {\'e}orique}{129}
|
||||
\contentsline {section}{\numberline {9.1}Introduction}{129}
|
||||
\contentsline {chapter}{\numberline {10}Thermodynamique}{131}
|
||||
\contentsline {section}{\numberline {10.1}Introduction}{131}
|
||||
\contentsline {section}{\numberline {10.2}Temp\IeC {\'e}rature}{131}
|
||||
\contentsline {subsection}{\numberline {10.2.1}Celsius}{131}
|
||||
\contentsline {subsection}{\numberline {10.2.2}Fahrenheit}{131}
|
||||
\contentsline {subsection}{\numberline {10.2.3}Kelvin}{132}
|
||||
\contentsline {subsection}{\numberline {10.2.4}Agitation mol\IeC {\'e}culaire}{132}
|
||||
\contentsline {section}{\numberline {10.3}Dilatation}{132}
|
||||
\contentsline {section}{\numberline {10.4}Chaleur}{133}
|
||||
\contentsline {subsection}{\numberline {10.4.1}Chaleur sp\IeC {\'e}cifique}{133}
|
||||
\contentsline {subsection}{\numberline {10.4.2}Chaleur latente}{133}
|
||||
\contentsline {section}{\numberline {10.5}\IeC {\'E}nergie thermique}{134}
|
||||
\contentsline {subsection}{\numberline {10.5.1}Premier principe}{135}
|
||||
\contentsline {chapter}{\numberline {11}Thermodynamique}{137}
|
||||
\contentsline {section}{\numberline {11.1}Temp\IeC {\'e}rature et dilatation}{137}
|
||||
\contentsline {subsection}{\numberline {11.1.1}Temp\IeC {\'e}rature}{137}
|
||||
\contentsline {subsection}{\numberline {11.1.2}Dilatation}{137}
|
||||
\contentsline {section}{\numberline {11.2}Chaleurs sp\IeC {\'e}cifique et latente}{139}
|
||||
\contentsline {subsection}{\numberline {11.2.1}Introduction}{139}
|
||||
\contentsline {subsection}{\numberline {11.2.2}Chaleur sp\IeC {\'e}cifique}{139}
|
||||
\contentsline {subsubsection}{Chaleur massique}{139}
|
||||
\contentsline {subsubsection}{Capacit\IeC {\'e} thermique}{140}
|
||||
\contentsline {subsubsection}{Notion de mole}{140}
|
||||
\contentsline {subsubsection}{Chaleur molaire}{140}
|
||||
\contentsline {subsubsection}{Relation entre chaleur massique et molaire}{141}
|
||||
\contentsline {subsubsection}{Chaleur latente}{141}
|
||||
\contentsline {subsubsection}{\IeC {\'E}vaporation}{141}
|
||||
\contentsline {subsection}{\numberline {11.2.3}Bilan thermique}{142}
|
||||
\contentsline {section}{\numberline {11.3}Loi des gaz parfaits}{143}
|
||||
\contentsline {subsection}{\numberline {11.3.1}\IeC {\'E}quation d'\IeC {\'e}tat}{143}
|
||||
\contentsline {subsubsection}{Pression}{143}
|
||||
\contentsline {subsubsection}{\IeC {\'E}tat d'un gaz parfait}{143}
|
||||
\contentsline {subsubsection}{Approche intuitive}{143}
|
||||
\contentsline {subsubsection}{Approche mol\IeC {\'e}culaire}{144}
|
||||
\contentsline {subsection}{\numberline {11.3.2}Gaz parfait}{145}
|
||||
\contentsline {section}{\numberline {11.4}Premier principe}{145}
|
||||
\contentsline {subsection}{\numberline {11.4.1}Chaleur}{145}
|
||||
\contentsline {subsection}{\numberline {11.4.2}Travail}{146}
|
||||
\contentsline {subsection}{\numberline {11.4.3}\IeC {\'E}nergie interne}{146}
|
||||
\contentsline {subsubsection}{\IeC {\'E}quipartition de l'\IeC {\'e}nergie}{147}
|
||||
\contentsline {subsection}{\numberline {11.4.4}Premier principe}{147}
|
||||
\contentsline {subsection}{\numberline {11.4.5}Changements d'\IeC {\'e}tats}{147}
|
||||
\contentsline {subsubsection}{Transformation isobare}{148}
|
||||
\contentsline {subsubsection}{Transformation isochore}{148}
|
||||
\contentsline {subsubsection}{Transformation isotherme}{149}
|
||||
\contentsline {subsubsection}{Transformation adiabatique}{150}
|
||||
\contentsline {subsection}{\numberline {11.4.6}Chaleurs sp\IeC {\'e}cifiques}{151}
|
||||
\contentsline {section}{\numberline {11.5}Machines thermiques}{152}
|
||||
\contentsline {subsection}{\numberline {11.5.1}Machine simple}{152}
|
||||
\contentsline {subsection}{\numberline {11.5.2}Moteur \IeC {\`a} explosion}{154}
|
||||
\contentsline {subsection}{\numberline {11.5.3}Moteur Diesel}{156}
|
||||
\contentsline {subsection}{\numberline {11.5.4}Machine de Stirling}{158}
|
||||
\contentsline {subsection}{\numberline {11.5.5}Climatiseur}{158}
|
||||
\contentsline {subsection}{\numberline {11.5.6}R\IeC {\'e}frig\IeC {\'e}rateur}{158}
|
||||
\contentsline {subsection}{\numberline {11.5.7}Pompe \IeC {\`a} chaleur}{158}
|
||||
\contentsline {subsection}{\numberline {11.5.8}Cycle de Carnot}{158}
|
||||
\contentsline {section}{\numberline {11.6}Thermodynamique statistique}{158}
|
||||
\contentsline {section}{\numberline {11.7}Second principe}{159}
|
||||
\contentsline {chapter}{\numberline {A}Syst\IeC {\`e}mes d'unit\IeC {\'e}s}{161}
|
||||
\contentsline {section}{\numberline {A.1}Introduction}{161}
|
||||
\contentsline {section}{\numberline {A.2}Op\IeC {\'e}rateur d'unit\IeC {\'e}s}{161}
|
||||
\contentsline {section}{\numberline {A.3}Analyse dimentionnelle}{162}
|
||||
\contentsline {section}{\numberline {A.4}Les unit\IeC {\'e}s du Syst\IeC {\`e}me International}{163}
|
||||
\contentsline {subsection}{\numberline {A.4.1}Exemple}{163}
|
||||
\contentsline {section}{\numberline {A.5}Conversions}{163}
|
||||
\contentsline {section}{\numberline {A.6}Sous-multiples}{164}
|
||||
\contentsline {section}{\numberline {A.7}Notation scientifique}{164}
|
||||
\contentsline {section}{\numberline {A.8}R\IeC {\`e}gles de calcul}{165}
|
||||
\contentsline {chapter}{\numberline {B}Deux syst\IeC {\`e}mes de coordonn\IeC {\'e}es}{167}
|
||||
\contentsline {section}{\numberline {B.1}Le syst\IeC {\`e}me de coordonn\IeC {\'e}es circulaires}{167}
|
||||
\contentsline {subsection}{\numberline {B.1.1}Introduction}{167}
|
||||
\contentsline {subsection}{\numberline {B.1.2}Description}{167}
|
||||
\contentsline {section}{\numberline {B.2}Coordonn\IeC {\'e}es sph\IeC {\'e}riques}{167}
|
||||
\contentsline {subsection}{\numberline {B.2.1}Introduction}{167}
|
||||
\contentsline {subsection}{\numberline {B.2.2}Description}{167}
|
||||
\contentsline {subsection}{\numberline {B.2.3}Latitude et longitude}{168}
|
||||
\contentsline {chapter}{\numberline {C}Mesures de distances}{169}
|
||||
\contentsline {section}{\numberline {C.1}La taille de la Terre}{169}
|
||||
\contentsline {subsection}{\numberline {C.1.1}Le principe}{169}
|
||||
\contentsline {subsection}{\numberline {C.1.2}Techniquement}{170}
|
||||
\contentsline {section}{\numberline {C.2}La taille de la Lune}{171}
|
||||
\contentsline {section}{\numberline {C.3}La distance Terre-Lune}{171}
|
||||
\contentsline {section}{\numberline {C.4}La distance Terre-Soleil}{172}
|
||||
\contentsline {section}{\numberline {C.5}La distance des \IeC {\'e}toiles}{174}
|
||||
\contentsline {chapter}{\numberline {D}Travaux pratiques}{175}
|
||||
\contentsline {section}{\numberline {D.1}Le rapport de laboratoire}{175}
|
||||
\contentsline {subsection}{\numberline {D.1.1}Plan d'un rapport de travail pratique}{176}
|
||||
\contentsline {subsubsection}{Pr\IeC {\'e}liminaires}{176}
|
||||
\contentsline {subsubsection}{R\IeC {\'e}sum\IeC {\'e}}{176}
|
||||
\contentsline {subsubsection}{But}{176}
|
||||
\contentsline {subsubsection}{Th\IeC {\'e}orie}{176}
|
||||
\contentsline {subsubsection}{Description de l'exp\IeC {\'e}rience}{176}
|
||||
\contentsline {subsubsection}{R\IeC {\'e}sultats}{176}
|
||||
\contentsline {subsubsection}{Discussion}{178}
|
||||
\contentsline {subsubsection}{Conclusion}{178}
|
||||
\contentsline {subsubsection}{Annexes}{178}
|
||||
\contentsline {section}{\numberline {D.2}La n\IeC {\'e}buleuse du Crabe}{179}
|
||||
\contentsline {subsection}{\numberline {D.2.1}Introduction}{179}
|
||||
\contentsline {subsection}{\numberline {D.2.2}But du travail pratique}{179}
|
||||
\contentsline {subsection}{\numberline {D.2.3}Dispositif exp\IeC {\'e}rimental}{179}
|
||||
\contentsline {subsection}{\numberline {D.2.4}Mesures}{179}
|
||||
\contentsline {subsection}{\numberline {D.2.5}R\IeC {\'e}sultats}{179}
|
||||
\contentsline {subsection}{\numberline {D.2.6}Analyse}{179}
|
||||
\contentsline {section}{\numberline {D.3}Le pendule simple}{179}
|
||||
\contentsline {subsection}{\numberline {D.3.1}Les mesures}{179}
|
||||
\contentsline {subsection}{\numberline {D.3.2}Organisation des donn\IeC {\'e}es et graphiques}{180}
|
||||
\contentsline {section}{\numberline {D.4}Mouvement simple : MRU}{180}
|
||||
\contentsline {subsection}{\numberline {D.4.1}Les mesures}{180}
|
||||
\contentsline {subsection}{\numberline {D.4.2}Organisation des donn\IeC {\'e}es et graphiques}{180}
|
||||
\contentsline {subsection}{\numberline {D.4.3}Analyse des r\IeC {\'e}sultats}{180}
|
||||
\contentsline {section}{\numberline {D.5}Mouvement simple :\\MRUA}{180}
|
||||
\contentsline {subsection}{\numberline {D.5.1}But}{180}
|
||||
\contentsline {subsection}{\numberline {D.5.2}Th\IeC {\'e}orie}{181}
|
||||
\contentsline {subsection}{\numberline {D.5.3}Les mesures}{181}
|
||||
\contentsline {subsection}{\numberline {D.5.4}Organisation des donn\IeC {\'e}es et graphiques}{181}
|
||||
\contentsline {subsection}{\numberline {D.5.5}Galil\IeC {\'e}e et le plan inclin\IeC {\'e}}{181}
|
||||
\contentsline {section}{\numberline {D.6}La chute libre}{181}
|
||||
\contentsline {subsection}{\numberline {D.6.1}Cette exp\IeC {\'e}rience donnant lieu \IeC {\`a} un rapport not\IeC {\'e}, elle n'est pas d\IeC {\'e}crite.}{181}
|
||||
\contentsline {subsection}{\numberline {D.6.2}R\IeC {\'e}sultats}{181}
|
||||
\contentsline {section}{\numberline {D.7}Le canon horizontal}{181}
|
||||
\contentsline {section}{\numberline {D.8}Le chariot \IeC {\`a} masse pendante}{182}
|
||||
\contentsline {chapter}{\numberline {E}Rotations}{183}
|
||||
\contentsline {section}{\numberline {E.1}Rotation de la Terre sur elle-m\IeC {\^e}me}{183}
|
||||
\contentsline {section}{\numberline {E.2}Rotation de la Terre autour du Soleil}{183}
|
||||
\contentsline {section}{\numberline {E.3}Rotation du Soleil dans la Voie Lact\IeC {\'e}e}{185}
|
||||
\contentsline {section}{\numberline {E.4}Vitesse et r\IeC {\'e}f\IeC {\'e}rentiel}{185}
|
||||
\contentsline {chapter}{\numberline {F}MRUA d\IeC {\'e}veloppements}{187}
|
||||
\contentsline {section}{\numberline {F.1}La position}{187}
|
||||
\contentsline {section}{\numberline {F.2}Une autre relation bien pratique}{187}
|
||||
\contentsline {subsection}{\numberline {F.2.1}Cin\IeC {\'e}matique}{187}
|
||||
\contentsline {subsection}{\numberline {F.2.2}\IeC {\'E}nergie}{188}
|
||||
\contentsline {chapter}{\numberline {G}Chute de la Lune}{189}
|
||||
\contentsline {section}{\numberline {G.1}Introduction}{189}
|
||||
\contentsline {section}{\numberline {G.2}Acc\IeC {\'e}l\IeC {\'e}ration}{189}
|
||||
\contentsline {section}{\numberline {G.3}Force de gravitation}{190}
|
||||
\contentsline {chapter}{\numberline {H}Satellite en orbite g\IeC {\'e}ostationnaire}{191}
|
||||
\contentsline {section}{\numberline {H.1}Introduction}{191}
|
||||
\contentsline {section}{\numberline {H.2}Th\IeC {\'e}oriquement}{191}
|
||||
\contentsline {section}{\numberline {H.3}Num\IeC {\'e}riquement}{192}
|
||||
\contentsline {section}{\numberline {H.4}Loi de Kepler}{192}
|
||||
\contentsline {chapter}{\numberline {I}Relativit\IeC {\'e}}{193}
|
||||
\contentsline {section}{\numberline {I.1}Relativit\IeC {\'e} galil\IeC {\'e}enne}{193}
|
||||
\contentsline {section}{\numberline {I.2}Transformation galil\IeC {\'e}enne}{194}
|
||||
\contentsline {section}{\numberline {I.3}Invariance}{195}
|
||||
\contentsline {section}{\numberline {I.4}Forces inertielles}{195}
|
||||
\contentsline {subsection}{\numberline {I.4.1}Force d'inertie}{195}
|
||||
\contentsline {subsection}{\numberline {I.4.2}Force centrifuge}{196}
|
||||
\contentsline {chapter}{\numberline {J}Mar\IeC {\'e}es}{199}
|
||||
\contentsline {section}{\numberline {J.1}Introduction}{199}
|
||||
\contentsline {section}{\numberline {J.2}Centre de gravit\IeC {\'e}}{199}
|
||||
\contentsline {section}{\numberline {J.3}Force d'inertie}{200}
|
||||
\contentsline {subsection}{\numberline {J.3.1}Vitesse angulaire}{200}
|
||||
\contentsline {subsection}{\numberline {J.3.2}Force d'inertie}{200}
|
||||
\contentsline {section}{\numberline {J.4}Poids relatif}{201}
|
||||
\contentsline {section}{\numberline {J.5}Analyse diff\IeC {\'e}rentielle}{201}
|
||||
\contentsline {section}{\numberline {J.6}Autres rythmes}{201}
|
||||
\contentsline {subsection}{\numberline {J.6.1}D\IeC {\'e}calages}{202}
|
||||
\contentsline {subsection}{\numberline {J.6.2}Mar\IeC {\'e}es de vives et mortes eaux}{202}
|
||||
\contentsline {subsection}{\numberline {J.6.3}Mar\IeC {\'e}es d'\IeC {\'e}quinoxes}{202}
|
||||
\contentsline {subsection}{\numberline {J.6.4}Mar\IeC {\'e}es de p\IeC {\'e}rig\IeC {\'e}e et p\IeC {\'e}rih\IeC {\'e}lie}{203}
|
||||
\contentsline {subsection}{\numberline {J.6.5}Mar\IeC {\'e}es de d\IeC {\'e}clinaison}{203}
|
||||
\contentsline {subsection}{\numberline {J.6.6}Retards et mar\IeC {\'e}es c\IeC {\^o}ti\IeC {\`e}res}{203}
|
||||
\contentsline {section}{\numberline {J.7}Limite de Roche}{203}
|
||||
\contentsline {subsection}{\numberline {J.7.1}Mod\IeC {\`e}le simplifi\IeC {\'e}}{204}
|
||||
\contentsline {subsection}{\numberline {J.7.2}Exemples}{205}
|
||||
\contentsline {chapter}{\numberline {K}\IeC {\'E}nergies}{207}
|
||||
\contentsline {section}{\numberline {K.1}Introduction}{207}
|
||||
\contentsline {section}{\numberline {K.2}\IeC {\'E}nergie hydraulique}{207}
|
||||
\contentsline {section}{\numberline {K.3}\IeC {\'E}nergie \IeC {\'e}olienne}{208}
|
||||
\contentsline {subsection}{\numberline {K.3.1}R\IeC {\`e}gle de Betz}{208}
|
||||
\contentsline {subsection}{\numberline {K.3.2}\IeC {\'E}oliennes}{209}
|
||||
\contentsline {subsubsection}{\IeC {\'E}olienne de Collonges-Dor\IeC {\'e}naz}{209}
|
||||
\contentsline {subsubsection}{\IeC {\'E}oliennes du Mont Soleil (Jura suisse)}{209}
|
||||
\contentsline {section}{\numberline {K.4}G\IeC {\'e}othermie}{209}
|
||||
\contentsline {section}{\numberline {K.5}\IeC {\'E}nergie de combustion des d\IeC {\'e}chets}{210}
|
||||
\contentsline {chapter}{\numberline {L}Exercices}{211}
|
||||
\contentsline {section}{\numberline {L.1}Probl\IeC {\`e}mes}{211}
|
||||
\contentsline {subsection}{\numberline {L.1.1}Relatifs \IeC {\`a} la conversion d'unit\IeC {\'e}s et \IeC {\`a} la notation scientifique}{211}
|
||||
\contentsline {subsection}{\numberline {L.1.2}Relatifs aux notions de d\IeC {\'e}placement, position et distance parcourue}{212}
|
||||
\contentsline {subsection}{\numberline {L.1.3}Relatifs \IeC {\`a} la notion de vitesse}{212}
|
||||
\contentsline {subsection}{\numberline {L.1.4}Relatif \IeC {\`a} la notion d'acc\IeC {\'e}l\IeC {\'e}ration}{212}
|
||||
\contentsline {subsection}{\numberline {L.1.5}Relatif au MRU}{213}
|
||||
\contentsline {subsection}{\numberline {L.1.6}Relatif au MRUA}{213}
|
||||
\contentsline {subsection}{\numberline {L.1.7}Relatifs \IeC {\`a} la physique aristot\IeC {\'e}licienne}{214}
|
||||
\contentsline {subsection}{\numberline {L.1.8}Relatifs \IeC {\`a} la physique newtonienne}{214}
|
||||
\contentsline {subsection}{\numberline {L.1.9}Relatifs aux forces}{217}
|
||||
\contentsline {subsection}{\numberline {L.1.10}Relatifs \IeC {\`a} l'\IeC {\'e}nergie}{218}
|
||||
\contentsline {subsection}{\numberline {L.1.11}Relatifs \IeC {\`a} la conservation de l'\IeC {\'e}nergie}{219}
|
||||
\contentsline {subsection}{\numberline {L.1.12}Relatifs \IeC {\`a} l'\IeC {\'e}nergie hydraulique}{219}
|
||||
\contentsline {subsection}{\numberline {L.1.13}Relatifs \IeC {\`a} l'\IeC {\'e}nergie \IeC {\'e}olienne}{219}
|
||||
\contentsline {subsection}{\numberline {L.1.14}Relatifs \IeC {\`a} l'\IeC {\'e}nergie solaire}{219}
|
||||
\contentsline {section}{\numberline {L.2}Solutions}{220}
|
||||
\contentsline {section}{\numberline {L.3}Solutions OS}{236}
|
||||
\contentsline {chapter}{\numberline {M}Ordre de grandeur, erreur et incertitudes}{247}
|
||||
\contentsline {section}{\numberline {M.1}Ordre de grandeur}{247}
|
||||
\contentsline {subsection}{\numberline {M.1.1}Chiffres significatifs}{247}
|
||||
\contentsline {subsection}{\numberline {M.1.2}Ordre de grandeur}{247}
|
||||
\contentsline {section}{\numberline {M.2}\IeC {\'E}cart et erreur}{248}
|
||||
\contentsline {section}{\numberline {M.3}Incertitude}{250}
|
||||
\contentsline {subsection}{\numberline {M.3.1}Addition/soustraction}{251}
|
||||
\contentsline {subsection}{\numberline {M.3.2}Multiplication par un entier}{251}
|
||||
\contentsline {subsection}{\numberline {M.3.3}Multiplication/division}{251}
|
||||
\contentsline {subsection}{\numberline {M.3.4}Puissance}{252}
|
||||
\contentsline {subsection}{\numberline {M.3.5}R\IeC {\'e}sum\IeC {\'e}}{252}
|
||||
\contentsline {subsection}{\numberline {M.3.6}Exemples}{253}
|
||||
|
||||
@ -52,10 +52,13 @@
|
||||
\newlabel{fderiveenpot}{{8.16}{126}}
|
||||
\newlabel{enpotvsf}{{8.17}{126}}
|
||||
\@writefile{toc}{\contentsline {subsubsection}{\IeC {\'E}nergie gravifique}{126}}
|
||||
\newlabel{enpotgrav}{{8.18}{126}}
|
||||
\newlabel{forcedegravitation}{{8.18}{126}}
|
||||
\newlabel{enpotgrav}{{8.19}{126}}
|
||||
\@writefile{lof}{\contentsline {figure}{\numberline {8.7}{\ignorespaces Force et \IeC {\'e}nergie potentielle de gravitation entre la Terre et le Soleil\relax }}{127}}
|
||||
\newlabel{forceetenpotST}{{8.7}{127}}
|
||||
\@setckpt{EnergieOS/EnergieOS}{
|
||||
\setcounter{page}{127}
|
||||
\setcounter{equation}{18}
|
||||
\setcounter{page}{128}
|
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|
||||
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|
||||
@ -69,12 +72,12 @@
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|
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|
||||
@ -426,7 +426,7 @@ F=-\frac{d}{dx}E_{pot}
|
||||
On dira donc que la force dérive au signe près de l'énergie potentielle. Attention, la dérivée porte sur la variable d'espace et non le temps.
|
||||
|
||||
\smallskip
|
||||
On peut aussi écrire inversément~:
|
||||
On peut aussi écrire inversement~:
|
||||
\[\Delta E_{pot}=-A=-\int_{A}^{B} F\cdot dx\]
|
||||
ou même, vectoriellement~:
|
||||
\begin{center}
|
||||
@ -440,7 +440,9 @@ Cette équation permettant de déterminer par intégration l'énergie potentiell
|
||||
|
||||
\subsubsection{Énergie gravifique}
|
||||
Considérons donc l'expression de la force de gravitation~:
|
||||
\[F=G\cdot\frac{M\cdot m}{r^2}\]
|
||||
\begin{equation}\label{forcedegravitation}
|
||||
F=G\cdot\frac{M\cdot m}{r^2}
|
||||
\end{equation}
|
||||
Il s'agit d'une force centrale, c'est-à-dire qui pointe toujours vers un point central. Le travail, comme projection du vecteur déplacement infinitésimal \(\Delta\overrightarrow{r}\) sur le vecteur force \(\overrightarrow{F}\), peut donc être étudié selon une droite radiale passant pas le point central. Mathématiquement, on a donc~:
|
||||
\begin{align*}
|
||||
A&=\int_{A}^{B} \overrightarrow{F}\cdot \overrightarrow{ds}=\int_{A}^{B} F\cdot dr\\
|
||||
@ -450,13 +452,66 @@ A&=\int_{A}^{B} \overrightarrow{F}\cdot \overrightarrow{ds}=\int_{A}^{B} F\cdot
|
||||
&=-G\cdot M\cdot m\cdot (\frac{1}{r_{B}}-\frac{1}{r_{A}})\\
|
||||
&=-(G\cdot \frac{M\cdot m}{r_{B}}-G\cdot \frac{M\cdot m}{r_{A}})
|
||||
\end{align*}
|
||||
On voit clairement que le travail ne dépend que des points A et B et que l'énergie potentielle en ces points prend la forme~:
|
||||
\begin{equation}\label{enpotgrav}
|
||||
\fbox{$\displaystyle E_{pot\,grav}=G\cdot \frac{M\cdot m}{r}$}
|
||||
\end{equation}
|
||||
Ce qui permet comme précédemment de ré-écrire le travail en fonction de l'énergie potentielle~:
|
||||
\begin{align*}
|
||||
A&=-(G\cdot \frac{M\cdot m}{r_{B}}-G\cdot \frac{M\cdot m}{r_{A}})\\
|
||||
&=-(E_{pot\,grav}(B)-E_{pot\,grav}(A))\\
|
||||
&=-\Delta E_{pot\,grav}
|
||||
\end{align*}
|
||||
\end{align*}
|
||||
On voit clairement que le travail ne dépend que des points A et B. Mais, contrairement à la forme de l'énergie potentielle issue du poids ou celle correspondant à la force d'un ressort, pour lesquelles le zéro de l'énergie correspond à l'origine de l'axe, on voit ici qu'à une distance nulle l'énergie devient infinie.
|
||||
|
||||
\smallskip
|
||||
Se pose donc le problème du choix du zéro de l'énergie\index{zero@zéro!de l'énergie potentielle} potentielle. Pour les deux forces évoquées ci-dessus, il semble évident pour la première qu'en remontant le champ de gravitation, l'énergie potentielle augmente et pour la seconde qu'elle le fait en s'éloignant de la position de repos du ressort.
|
||||
|
||||
Pour la force de gravitation, la forme de l'énergie potentielle implique qu'elle ne peut être nulle qu'à l'infini. Pour que celle-ci augmente en fonction de la distance, elle ne peut être positive. On doit donc choisir la forme suivante~:
|
||||
\begin{equation}\label{enpotgrav}
|
||||
\fbox{$\displaystyle E_{pot\,grav}=-G\cdot \frac{M\cdot m}{r}$}
|
||||
\end{equation}
|
||||
Ainsi, l'énergie potentielle augmente, c'est-à-dire devient de moins en moins négative, en s'éloignant de l'origine et s'annule à l'infini.
|
||||
|
||||
\medskip
|
||||
Considérons la force de gravitation donnée par l'équation \ref{forcedegravitation} et l'énergie potentielle correspondante donne par l'équation \ref{enpotgrav} d'un point de vue graphique. La force de gravitation a été affectée d'un signe négatif pour signifier qu'elle est attractive et s'exerce dans le sens contraire de l'axe. Elle est inversement proportionnelle au carré de la distance, alors que l'énergie potentielle est elle inversement proportionnelle à la distance. Le graphe \ref{forceetenpotST} résente la force et l'énergie potentielle de la Terre dans le champ de gravitation du Soleil.
|
||||
|
||||
\begin{figure}
|
||||
\centering
|
||||
\caption{Force et énergie potentielle de\\gravitation entre la Terre et le Soleil}\label{forceetenpotST}
|
||||
\begin{gnuplot}[terminal=latex,terminaloptions=rotate,scale=0.6]
|
||||
# domaine de définition
|
||||
#set xrange [0:1E11]
|
||||
#set yrange [-1E40:1E40]
|
||||
set xrange [0:5]
|
||||
set yrange [-1E46:1E45]
|
||||
# flèches
|
||||
#set arrow 1 from 39.7,120 to 39.7,0 head filled
|
||||
#size screen 0.5,30
|
||||
#set label "Écart type" at 39.4,100 rotate by 90
|
||||
#set arrow 2 from 44.1,120 to 44.1,0 head filled
|
||||
#set label "Écart type" at 44.4,138 rotate by -90
|
||||
#set arrow 3 from 41.9,120 to 41.9,0 head filled
|
||||
#set label "Moyenne" at 42.2,80 rotate by -90
|
||||
#set grid
|
||||
#set title "Baguettes d'une année"
|
||||
# suppression de la légende
|
||||
#set key off
|
||||
set key right bottom
|
||||
# légendes des axes
|
||||
set xlabel "Distance (m)"
|
||||
#set ylabel "Gravitation" rotate by 90
|
||||
# largeur des colonnes (boxes)
|
||||
#set boxwidth 0.1
|
||||
#set arrow from graph 1,0 to graph 1.05,0 size screen 0.025,15,60 filled ls 11
|
||||
#set arrow from graph 0,1 to graph 0,1.05 size screen 0.025,15,60 filled ls 11
|
||||
set xzeroaxis
|
||||
G=6.67E-11
|
||||
M=1.99E30
|
||||
m=5.97E24
|
||||
F(x)=-G*M*m/x**2
|
||||
E(x)=-G*M*m/x
|
||||
# tracé du graphe
|
||||
plot E(x) title "Énergie potentielle (J)", F(x) title "Force de gravitation (N)"
|
||||
\end{gnuplot}
|
||||
\end{figure}
|
||||
|
||||
L'étude des propriété de la fonction d'énergie potentielle sera un élément très important pour comprendre les mouvements des objets soumis à différentes force.
|
||||
|
||||
Plus généralement, nous reconsidérerons ce problème au chapitre \ref{physiquetheorique}.
|
||||
@ -426,7 +426,7 @@ F=-\frac{d}{dx}E_{pot}
|
||||
On dira donc que la force dérive au signe près de l'énergie potentielle. Attention, la dérivée porte sur la variable d'espace et non le temps.
|
||||
|
||||
\smallskip
|
||||
On peut aussi écrire inversément~:
|
||||
On peut aussi écrire inversement~:
|
||||
\[\Delta E_{pot}=-A=-\int_{A}^{B} F\cdot dx\]
|
||||
ou même, vectoriellement~:
|
||||
\begin{center}
|
||||
@ -440,7 +440,9 @@ Cette équation permettant de déterminer par intégration l'énergie potentiell
|
||||
|
||||
\subsubsection{Énergie gravifique}
|
||||
Considérons donc l'expression de la force de gravitation~:
|
||||
\[F=G\cdot\frac{M\cdot m}{r^2}\]
|
||||
\begin{equation}\label{forcedegravitation}
|
||||
F=G\cdot\frac{M\cdot m}{r^2}
|
||||
\end{equation}
|
||||
Il s'agit d'une force centrale, c'est-à-dire qui pointe toujours vers un point central. Le travail, comme projection du vecteur déplacement infinitésimal \(\Delta\overrightarrow{r}\) sur le vecteur force \(\overrightarrow{F}\), peut donc être étudié selon une droite radiale passant pas le point central. Mathématiquement, on a donc~:
|
||||
\begin{align*}
|
||||
A&=\int_{A}^{B} \overrightarrow{F}\cdot \overrightarrow{ds}=\int_{A}^{B} F\cdot dr\\
|
||||
@ -450,13 +452,66 @@ A&=\int_{A}^{B} \overrightarrow{F}\cdot \overrightarrow{ds}=\int_{A}^{B} F\cdot
|
||||
&=-G\cdot M\cdot m\cdot (\frac{1}{r_{B}}-\frac{1}{r_{A}})\\
|
||||
&=-(G\cdot \frac{M\cdot m}{r_{B}}-G\cdot \frac{M\cdot m}{r_{A}})
|
||||
\end{align*}
|
||||
On voit clairement que le travail ne dépend que des points A et B et que l'énergie potentielle en ces points prend la forme~:
|
||||
\begin{equation}\label{enpotgrav}
|
||||
\fbox{$\displaystyle E_{pot\,grav}=G\cdot \frac{M\cdot m}{r}$}
|
||||
\end{equation}
|
||||
Ce qui permet comme précédemment de ré-écrire le travail en fonction de l'énergie potentielle~:
|
||||
\begin{align*}
|
||||
A&=-(G\cdot \frac{M\cdot m}{r_{B}}-G\cdot \frac{M\cdot m}{r_{A}})\\
|
||||
&=-(E_{pot\,grav}(B)-E_{pot\,grav}(A))\\
|
||||
&=-\Delta E_{pot\,grav}
|
||||
\end{align*}
|
||||
\end{align*}
|
||||
On voit clairement que le travail ne dépend que des points A et B. Mais, contrairement à la forme de l'énergie potentielle issue du poids ou celle correspondant à la force d'un ressort, pour lesquelles le zéro de l'énergie correspond à l'origine de l'axe, on voit ici qu'à une distance nulle l'énergie devient infinie.
|
||||
|
||||
\smallskip
|
||||
Se pose donc le problème du choix du zéro de l'énergie\index{zero@zéro!de l'énergie potentielle} potentielle. Pour les deux forces évoquées ci-dessus, il semble évident pour la première qu'en remontant le champ de gravitation, l'énergie potentielle augmente et pour la seconde qu'elle le fait en s'éloignant de la position de repos du ressort.
|
||||
|
||||
Pour la force de gravitation, la forme de l'énergie potentielle implique qu'elle ne peut être nulle qu'à l'infini. Pour que celle-ci augmente en fonction de la distance, elle ne peut être positive. On doit donc choisir la forme suivante~:
|
||||
\begin{equation}\label{enpotgrav}
|
||||
\fbox{$\displaystyle E_{pot\,grav}=-G\cdot \frac{M\cdot m}{r}$}
|
||||
\end{equation}
|
||||
Ainsi, l'énergie potentielle augmente, c'est-à-dire devient de moins en moins négative, en s'éloignant de l'origine et s'annule à l'infini.
|
||||
|
||||
\medskip
|
||||
Considérons la force de gravitation donnée par l'équation \ref{forcedegravitation} et l'énergie potentielle correspondante donne par l'équation \ref{enpotgrav} d'un point de vue graphique. La force de gravitation a été affectée d'un signe négatif pour signifier qu'elle est attractive et s'exerce dans le sens contraire de l'axe. Elle est inversement proportionnelle au carré de la distance, alors que l'énergie potentielle est elle inversement proportionnelle à la distance. Le graphe \ref{forceetenpotST} résente la force et l'énergie potentielle de la Terre dans le champ de gravitation du Soleil.
|
||||
|
||||
\begin{figure}
|
||||
\centering
|
||||
\caption{Force et énergie potentielle de\\gravitation entre la Terre et le Soleil}\label{forceetenpotST}
|
||||
\begin{gnuplot}[terminal=latex,terminaloptions=rotate,scale=0.6]
|
||||
# domaine de définition
|
||||
#set xrange [0:1E11]
|
||||
#set yrange [-1E40:1E40]
|
||||
set xrange [0:5]
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# flèches
|
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
#set label "Moyenne" at 42.2,80 rotate by -90
|
||||
#set grid
|
||||
#set title "Baguettes d'une année"
|
||||
# suppression de la légende
|
||||
#set key off
|
||||
set key right bottom
|
||||
# légendes des axes
|
||||
set xlabel "Distance (m)"
|
||||
#set ylabel "Gravitation" rotate by 90
|
||||
# largeur des colonnes (boxes)
|
||||
#set boxwidth 0.1
|
||||
#set arrow from graph 1,0 to graph 1.05,0 size screen 0.025,15,60 filled ls 11
|
||||
#set arrow from graph 0,1 to graph 0,1.05 size screen 0.025,15,60 filled ls 11
|
||||
set xzeroaxis
|
||||
G=6.67E-11
|
||||
M=1.99E30
|
||||
m=5.97E24
|
||||
F(x)=-G*M*m/x**2
|
||||
E(x)=-G*M*m/x
|
||||
# tracé du graphe
|
||||
plot E(x) title "Énergie potentielle (J)", F(x) title "Force de gravitation (N)"
|
||||
\end{gnuplot}
|
||||
\end{figure}
|
||||
|
||||
L'étude des propriété de la fonction d'énergie potentielle sera un élément très important pour comprendre les mouvements des objets soumis à différentes force.
|
||||
|
||||
Plus généralement, nous reconsidérerons ce problème au chapitre \ref{physiquetheorique}.
|
||||
48
PhysiqueTheorique/PhysiqueTheorique.aux
Normal file
48
PhysiqueTheorique/PhysiqueTheorique.aux
Normal file
@ -0,0 +1,48 @@
|
||||
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|
||||
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|
||||
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|
||||
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5
PhysiqueTheorique/PhysiqueTheorique.tex
Normal file
5
PhysiqueTheorique/PhysiqueTheorique.tex
Normal file
@ -0,0 +1,5 @@
|
||||
\chapter{Physique théorique\index{physique@physique!théorique}}\label{physiquetheorique}
|
||||
%\minitoc
|
||||
|
||||
\section{Introduction}
|
||||
Ce chapitre constitue une introduction à la physique théorique.
|
||||
5
PhysiqueTheorique/PhysiqueTheorique.tex.bak
Normal file
5
PhysiqueTheorique/PhysiqueTheorique.tex.bak
Normal file
@ -0,0 +1,5 @@
|
||||
\chapter{Physique théorique\index{physique@physique!théorique}}\label{physiquetheorique}
|
||||
%\minitoc
|
||||
|
||||
\section{Introduction}
|
||||
Ce chapitre constitue une introduction à la physique théorique.
|
||||
@ -1,43 +1,43 @@
|
||||
\relax
|
||||
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Reference in New Issue
Block a user