Ajout motivations au premier laboratoire.
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@ -206,7 +206,62 @@ Des astronomes chinois du haut Moyen Âge ont signalé l'apparition, en l'année
|
||||
\section{Le pendule\index{pendule} simple}
|
||||
|
||||
\subsection{Les mesures}
|
||||
Au préalable de ce laboratoire, relevons que pour un sujet paraissant très \og simple \fg{}, on peut se demander pourquoi s'en occuper. Or, en parcourant les exemples où des balanciers sont présents, comme :
|
||||
\begin{itemize}
|
||||
\item la pendule de salon, contenant un pendule ou
|
||||
\item le métronome, un pendule inversé ou
|
||||
\item le diapason, un oscillateur solide ou encore
|
||||
\item le quartz d'une montre, d'un smartphone ou d'un ordinateur ou enfin
|
||||
\item les atomes oscillants d'une horloge atomique,
|
||||
\end{itemize}
|
||||
on peut prendre conscience de l'importance des oscillateurs\index{oscillateur}.
|
||||
|
||||
\smallskip
|
||||
En effet, la compréhension du rôle du pendule dans une pendule est souvent mal comprise. Beaucoup considèrent que ce pendule fournit de l'énergie en oscillant à la pendule. Or, ce n'est pas le cas. L'énergie est fournie par un système de masses pendantes, généralement accrochées à des chaînes, qui en descendant transforment l'énergie gravitationnelle en mouvement de rotation des aiguilles. C'est la raison pour laquelle on utilise l'expression \og remonter la pendule \fg. La figure \ref{fig:lelapendule} montre une pendule dont les masses sont en avant plan et le pendule à l'arrière de celles-ci.
|
||||
|
||||
\begin{figure}[t]
|
||||
\centering
|
||||
\caption{Une pendule\label{fig:lelapendule}}
|
||||
\includegraphics{LaLePendule.eps}
|
||||
\end{figure}
|
||||
|
||||
En fait, le rôle du pendule est de \og battre \fg{} le temps. C'est son oscillation qui va permettre de définir ce que doit être une seconde. Ainsi l'étude des condition qui permettent d'obtenir un temps d'oscillation du pendule, appelé \emph{période} du pendule, d'une seconde ou d'un temps précisément déterminé, prend de l'importance au regard du bon fonctionnement de la pendule. En particulier, comme on va le voir plus lojn, les masse, longueur et angle initial du pendule pourraient avoir une importance.
|
||||
|
||||
\smallskip
|
||||
De même, pour un métronome, qui \og donne la mesure \fg{} en musique. Généralement, les musiciens qui l'utilisent savent qu'on peut modifier le temps d'oscillation de la tige du métronome en plaçant la petite masse qui coulisse sur celle-ci plus ou moins haut. Cela pourrait indiquer que la longueur du pendule a une réelle influence sur sa période. Mais un pendule est-il comparable avec un métronome ?
|
||||
|
||||
La manière de lancer le mouvement après remontage (mais faut-il remonter un métronome ?) peut aussi être comparée. En effet, généralement les musiciens ne font pas attention à l'angle initial selon lequel il lâchent la tige du métronome. Est-ce une bonne chose ? Si la période dépend de l'angle initial, cela pourrait-il être la raison du manque de savoir rythmique de certains et aussi du manque de précision de certaines pendules qu'on aurait relancées à la mauvaise place ?
|
||||
|
||||
Enfin, sur la tige des métronomes se trouve une graduation particulière. À quoi sert-elle ? Visiblement (voir figure \ref{fig:metronome}), les espaces entre les graduations sont variables. Pourquoi ? C'est une question légitime qui non seulement trouvera une réponse dans le cadre de ce laboratoire, mais aussi permettra d'aller plus loin que le constat d'une simple dépendance de la période en fonction de la longueur.
|
||||
|
||||
\smallskip
|
||||
Les musiciens utilisent aussi un autre appareil intéressant : le diapason. Il s'agit d'un appareil destiné à donner une note bien précise permettant à des instruments de s'accorder sur celle-ci.
|
||||
|
||||
Un diapason à une forme de U. En en frappant l'une des extrémités, on le fait osciller à une fréquence qui lui est propre. On constate qu'en le frappant plus ou moins fort, la note produite ne change pas, ce qui pourrait indiquer que l'angle initial d'oscillation n'intervient pas dans la période d'oscillation d'un pendule. Mais un pendule peut-il être comparé à un diapason ? La masse et la longueur du diapason changent-t-elles sa fréquence ?
|
||||
|
||||
On peut se demander s'il est nécessaire de répondre à ces questions, étant donné que l'utilisation des diapason est de plus en plus rare aujourd'hui puisqu'on dispose maintenant de systèmes électroniques délivrant des fréquences de référence.
|
||||
|
||||
\smallskip
|
||||
Pourtant, il est un système ressemblant au diapason pour lequel de telles réponses seraient les bienvenues. C'est ce système qui est à la base de la réponse à la question : comment des appareils électroniques comme une montre non mécanique, un smartphone ou un ordinateur peut-il donner l'heure ?
|
||||
|
||||
Si beaucoup pensent à tort que l'heure donnée par un smartphone l'est par le réseau (le réseau permet en réalité d'effectuer une synchronisation des horloges, comme les horloges dites \og radio commandées \fg), comment une montre non connectée peut-elle le faire ?
|
||||
|
||||
La réponse est simple, elle utilise un \emph{quartz}. Le quartz et une pierre piézo-électrique. En la faisant parcourir par un courant électrique, elle se met à osciller, elle devient un oscillateur. Or, un quartz à la même forme qu'un diapason. Il est donc possible de comparer un quartz à celui-ci et dans une certaine mesure à un pendule.
|
||||
|
||||
%\begin{figure}[t]
|
||||
%\centering
|
||||
%\caption{Un quartz\label{fig:quartz}}
|
||||
%\includegraphics{Quartz.eps}
|
||||
%\end{figure}
|
||||
|
||||
Comme la définition de la seconde à l'intérieur de la montre se fait grâce à l'oscillation de son quartz, il est intéressant de se demander si celle-ci dépend de la masse, de la longueur ou de l'angle initial d'oscillation du quartz.
|
||||
|
||||
\smallskip
|
||||
On voit ainsi que le problème du pendule simple est même à bien des interrogations sur ce qu'on peut qualifier d'oscillateurs. Et cela pourrait encore se poursuivre par le fonctionnement des horloges atomiques dont le principe est basé sur l'oscillation des atomes \dots
|
||||
|
||||
Voilà pour les motivations nécessaires pour s'intéresser au pendule simple. Voyons maintenant comment le faire précisément.
|
||||
|
||||
\bigskip
|
||||
Une partie très importante du travail du physicien est de déterminer la (ou les) grandeur\index{grandeur} pertinente pour décrire le phénomène étudié.
|
||||
|
||||
Ici, on s'intéresse à la période\index{periode@période} du pendule, c'est-à-dire au temps qu'il met pour faire un aller-retour. Il s'agit de déterminer quelles variables\index{variable} (quels paramètres) pourraient influer cette grandeur. On peut citer entre autres la masse et la longueur du pendule, sa position initiale (l'angle du fil par rapport à la verticale), son poids, le fluide dans lequel il se trouve, etc. Tous ces paramètres n'ont pas forcément de liens avec la grandeur choisie pour décrire le phénomène. Dans un premier temps, on peut donc en éliminer certains qui paraissent en première approximation n'avoir aucun rôle, en raison des difficultés pour les mesurer, des impossibilités matérielles pour les déterminer ou du coût qu'ils engendrent. Bien entendu, il faut tenter de minimiser l'influence de paramètres que l'on ne pourrait prendre en considération pour diverses raisons tout en les sachant importants.
|
||||
|
||||
84459
Annexe-TravauxPratiques/Images/LaLePendule.eps
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84459
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@ -982,232 +982,233 @@
|
||||
\indexentry{filaments}{181}
|
||||
\indexentry{etoile@\IeC {\'e}toile!nouvelle}{181}
|
||||
\indexentry{pendule}{181}
|
||||
\indexentry{grandeur}{181}
|
||||
\indexentry{periode@p\IeC {\'e}riode}{181}
|
||||
\indexentry{variable}{181}
|
||||
\indexentry{parametre@param\IeC {\`e}tre}{181}
|
||||
\indexentry{incertitude@incertitude}{182}
|
||||
\indexentry{clarte@clart\IeC {\'e}}{182}
|
||||
\indexentry{mouvement!simple}{182}
|
||||
\indexentry{MRU}{182}
|
||||
\indexentry{graphe horaire}{182}
|
||||
\indexentry{mouvement!simple}{182}
|
||||
\indexentry{MRUA}{182}
|
||||
\indexentry{rail incline@rail inclin\IeC {\'e}}{182}
|
||||
\indexentry{Galilee@Galil\IeC {\'e}e}{183}
|
||||
\indexentry{plan incline@plan inclin\IeC {\'e}}{183}
|
||||
\indexentry{chute libre}{183}
|
||||
\indexentry{MRUA}{183}
|
||||
\indexentry{canon}{183}
|
||||
\indexentry{balistique}{183}
|
||||
\indexentry{energie@\IeC {\'e}nergie}{184}
|
||||
\indexentry{seconde!loi!de Newton}{184}
|
||||
\indexentry{oscillateur}{181}
|
||||
\indexentry{grandeur}{183}
|
||||
\indexentry{periode@p\IeC {\'e}riode}{183}
|
||||
\indexentry{variable}{183}
|
||||
\indexentry{parametre@param\IeC {\`e}tre}{183}
|
||||
\indexentry{incertitude@incertitude}{183}
|
||||
\indexentry{clarte@clart\IeC {\'e}}{183}
|
||||
\indexentry{mouvement!simple}{184}
|
||||
\indexentry{MRU}{184}
|
||||
\indexentry{graphe horaire}{184}
|
||||
\indexentry{mouvement!simple}{184}
|
||||
\indexentry{MRUA}{184}
|
||||
\indexentry{acc\IeC {\'e}l\IeC {\'e}ration}{184}
|
||||
\indexentry{rotation!de la terre}{185}
|
||||
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|
||||
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|
||||
\indexentry{inertie}{185}
|
||||
\indexentry{rotation!de la Terre}{185}
|
||||
\indexentry{Soleil}{185}
|
||||
\indexentry{inertie}{185}
|
||||
\indexentry{relativit\IeC {\'e}}{186}
|
||||
\indexentry{immobilite de la terre@immobilit\IeC {\'e} de la terre}{186}
|
||||
\indexentry{inertie}{186}
|
||||
\indexentry{orbite!elliptique}{186}
|
||||
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|
||||
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|
||||
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|
||||
\indexentry{orbite!de mars}{186}
|
||||
\indexentry{Tycho Brahe@Tycho Brah\IeC {\'e}}{186}
|
||||
\indexentry{orbite!circulaire}{187}
|
||||
\indexentry{rotation!du Soleil}{187}
|
||||
\indexentry{Voie Lact\IeC {\'e}e}{187}
|
||||
\indexentry{rail incline@rail inclin\IeC {\'e}}{184}
|
||||
\indexentry{Galilee@Galil\IeC {\'e}e}{185}
|
||||
\indexentry{plan incline@plan inclin\IeC {\'e}}{185}
|
||||
\indexentry{chute libre}{185}
|
||||
\indexentry{MRUA}{185}
|
||||
\indexentry{canon}{185}
|
||||
\indexentry{balistique}{185}
|
||||
\indexentry{energie@\IeC {\'e}nergie}{185}
|
||||
\indexentry{seconde!loi!de Newton}{186}
|
||||
\indexentry{MRUA}{186}
|
||||
\indexentry{acc\IeC {\'e}l\IeC {\'e}ration}{186}
|
||||
\indexentry{rotation!de la terre}{187}
|
||||
\indexentry{equateur@\IeC {\'e}quateur!terrestre}{187}
|
||||
\indexentry{periode@p\IeC {\'e}riode!sid\IeC {\'e}rale}{187}
|
||||
\indexentry{inertie}{187}
|
||||
\indexentry{equateur@\IeC {\'e}quateur}{187}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel}{187}
|
||||
\indexentry{Local Standard of Rest}{188}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel}{188}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!absolu}{188}
|
||||
\indexentry{relativit\IeC {\'e}!restreinte}{188}
|
||||
\indexentry{Michelson et Morley}{188}
|
||||
\indexentry{position}{189}
|
||||
\indexentry{seconde!loi!de Newton}{193}
|
||||
\indexentry{mouvement!circulaire!uniforme}{193}
|
||||
\indexentry{loi!de la gravitation universelle}{193}
|
||||
\indexentry{altitude}{193}
|
||||
\indexentry{satellite}{193}
|
||||
\indexentry{orbite}{193}
|
||||
\indexentry{geostationnaire@g\IeC {\'e}ostationnaire}{193}
|
||||
\indexentry{periode@p\IeC {\'e}riode}{193}
|
||||
\indexentry{relativite@relativit\IeC {\'e}}{195}
|
||||
\indexentry{Einstein}{195}
|
||||
\indexentry{dilatation du temps}{195}
|
||||
\indexentry{courbure de l'espace}{195}
|
||||
\indexentry{Bruno Giordano}{195}
|
||||
\indexentry{Galilee@Galil\IeC {\'e}e}{195}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!galil\IeC {\'e}enne}{195}
|
||||
\indexentry{vitesse!constante}{195}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!restreinte}{195}
|
||||
\indexentry{Bruno Giordano}{196}
|
||||
\indexentry{pluralite@pluralit\IeC {\'e} des mondes}{196}
|
||||
\indexentry{transformation!galil\IeC {\'e}enne}{196}
|
||||
\indexentry{invariance!du temps}{196}
|
||||
\indexentry{theoreme@th\IeC {\'e}or\IeC {\`e}me!d'addition des vitesses}{196}
|
||||
\indexentry{invariance}{197}
|
||||
\indexentry{MRU}{197}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!de Galil\IeC {\'e}e}{197}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!restreinte}{197}
|
||||
\indexentry{seconde loi}{197}
|
||||
\indexentry{invariance!formelle}{197}
|
||||
\indexentry{rotation!de la Terre}{187}
|
||||
\indexentry{Soleil}{187}
|
||||
\indexentry{inertie}{187}
|
||||
\indexentry{relativit\IeC {\'e}}{188}
|
||||
\indexentry{immobilite de la terre@immobilit\IeC {\'e} de la terre}{188}
|
||||
\indexentry{inertie}{188}
|
||||
\indexentry{orbite!elliptique}{188}
|
||||
\indexentry{Ptolemee@Ptol\IeC {\'e}m\IeC {\'e}e}{188}
|
||||
\indexentry{epicycle@\IeC {\'e}picycle}{188}
|
||||
\indexentry{retrogradation@r\IeC {\'e}trogradation}{188}
|
||||
\indexentry{orbite!de mars}{188}
|
||||
\indexentry{Tycho Brahe@Tycho Brah\IeC {\'e}}{188}
|
||||
\indexentry{orbite!circulaire}{189}
|
||||
\indexentry{rotation!du Soleil}{189}
|
||||
\indexentry{Voie Lact\IeC {\'e}e}{189}
|
||||
\indexentry{periode@p\IeC {\'e}riode!sid\IeC {\'e}rale}{189}
|
||||
\indexentry{inertie}{189}
|
||||
\indexentry{equateur@\IeC {\'e}quateur}{189}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel}{189}
|
||||
\indexentry{Local Standard of Rest}{190}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel}{190}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!absolu}{190}
|
||||
\indexentry{relativit\IeC {\'e}!restreinte}{190}
|
||||
\indexentry{Michelson et Morley}{190}
|
||||
\indexentry{position}{191}
|
||||
\indexentry{seconde!loi!de Newton}{195}
|
||||
\indexentry{mouvement!circulaire!uniforme}{195}
|
||||
\indexentry{loi!de la gravitation universelle}{195}
|
||||
\indexentry{altitude}{195}
|
||||
\indexentry{satellite}{195}
|
||||
\indexentry{orbite}{195}
|
||||
\indexentry{geostationnaire@g\IeC {\'e}ostationnaire}{195}
|
||||
\indexentry{periode@p\IeC {\'e}riode}{195}
|
||||
\indexentry{relativite@relativit\IeC {\'e}}{197}
|
||||
\indexentry{Einstein}{197}
|
||||
\indexentry{dilatation du temps}{197}
|
||||
\indexentry{courbure de l'espace}{197}
|
||||
\indexentry{Bruno Giordano}{197}
|
||||
\indexentry{force@force!inertielle}{197}
|
||||
\indexentry{invariance}{197}
|
||||
\indexentry{Galilee@Galil\IeC {\'e}e}{197}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!galil\IeC {\'e}enne}{197}
|
||||
\indexentry{vitesse!constante}{197}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!restreinte}{197}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!inertiel}{197}
|
||||
\indexentry{mouvement!rectiligne uniforme}{197}
|
||||
\indexentry{force@force!d'inertie}{197}
|
||||
\indexentry{force@force!centrifuge}{197}
|
||||
\indexentry{force@force!d'inertie}{197}
|
||||
\indexentry{seconde loi}{197}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!non inertiel}{197}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!tournant}{197}
|
||||
\indexentry{force@force!fictive}{197}
|
||||
\indexentry{force@force!d'inertie}{197}
|
||||
\indexentry{champ!de gravitation}{197}
|
||||
\indexentry{invariance}{198}
|
||||
\indexentry{transformation!de Galil\IeC {\'e}e}{198}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!galil\IeC {\'e}enne}{198}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!g\IeC {\'e}n\IeC {\'e}rale}{198}
|
||||
\indexentry{acceleration@acc\IeC {\'e}l\IeC {\'e}ration!centrip\IeC {\`e}te}{198}
|
||||
\indexentry{cinematique@cin\IeC {\'e}matique}{198}
|
||||
\indexentry{invariance!formelle}{198}
|
||||
\indexentry{force@force!d'inertie}{198}
|
||||
\indexentry{force@force!fictive}{198}
|
||||
\indexentry{pseudo-force}{198}
|
||||
\indexentry{force@force!centrifuge}{198}
|
||||
\indexentry{force@force!centrifuge}{198}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!non inertiel}{198}
|
||||
\indexentry{pseudo-force}{198}
|
||||
\indexentry{force@force!de gravitation}{198}
|
||||
\indexentry{courbure de l'espace}{198}
|
||||
\indexentry{maree@mar\IeC {\'e}e}{199}
|
||||
\indexentry{zenith@z\IeC {\'e}nith}{199}
|
||||
\indexentry{centre de gravit\IeC {\'e}}{199}
|
||||
\indexentry{Bruno Giordano}{198}
|
||||
\indexentry{pluralite@pluralit\IeC {\'e} des mondes}{198}
|
||||
\indexentry{transformation!galil\IeC {\'e}enne}{198}
|
||||
\indexentry{invariance!du temps}{198}
|
||||
\indexentry{theoreme@th\IeC {\'e}or\IeC {\`e}me!d'addition des vitesses}{198}
|
||||
\indexentry{invariance}{199}
|
||||
\indexentry{MRU}{199}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!de Galil\IeC {\'e}e}{199}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!restreinte}{199}
|
||||
\indexentry{seconde loi}{199}
|
||||
\indexentry{invariance!formelle}{199}
|
||||
\indexentry{Bruno Giordano}{199}
|
||||
\indexentry{force@force!inertielle}{199}
|
||||
\indexentry{invariance}{199}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!restreinte}{199}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!inertiel}{199}
|
||||
\indexentry{mouvement!rectiligne uniforme}{199}
|
||||
\indexentry{force@force!d'inertie}{199}
|
||||
\indexentry{force@force!centrifuge}{199}
|
||||
\indexentry{force@force!d'inertie}{199}
|
||||
\indexentry{seconde loi}{199}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!non inertiel}{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{force@force!fictive}{199}
|
||||
\indexentry{force@force!d'inertie}{199}
|
||||
\indexentry{champ!de gravitation}{199}
|
||||
\indexentry{invariance}{200}
|
||||
\indexentry{transformation!de Galil\IeC {\'e}e}{200}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!galil\IeC {\'e}enne}{200}
|
||||
\indexentry{relativite@relativit\IeC {\'e}!g\IeC {\'e}n\IeC {\'e}rale}{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{cinematique@cin\IeC {\'e}matique}{200}
|
||||
\indexentry{invariance!formelle}{200}
|
||||
\indexentry{force@force!d'inertie}{200}
|
||||
\indexentry{poids!relatif}{201}
|
||||
\indexentry{force@force!fictive}{200}
|
||||
\indexentry{pseudo-force}{200}
|
||||
\indexentry{force@force!centrifuge}{200}
|
||||
\indexentry{force@force!centrifuge}{200}
|
||||
\indexentry{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!non inertiel}{200}
|
||||
\indexentry{pseudo-force}{200}
|
||||
\indexentry{force@force!de gravitation}{200}
|
||||
\indexentry{courbure de l'espace}{200}
|
||||
\indexentry{maree@mar\IeC {\'e}e}{201}
|
||||
\indexentry{zenith@z\IeC {\'e}nith}{201}
|
||||
\indexentry{centre de gravit\IeC {\'e}}{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{cro\IeC {\^u}te 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{referentiel@r\IeC {\'e}f\IeC {\'e}rentiel!tournant}{201}
|
||||
\indexentry{pseudo-force!centrifuge}{201}
|
||||
\indexentry{poids!relatif}{201}
|
||||
\indexentry{centre de gravit\IeC {\'e}}{201}
|
||||
\indexentry{mouvement!circulaire uniforme}{202}
|
||||
\indexentry{acceleration@acc\IeC {\'e}l\IeC {\'e}ration!centrip\IeC {\`e}te}{202}
|
||||
\indexentry{vitesse!lin\IeC {\'e}aire}{202}
|
||||
\indexentry{vitesse!angulaire}{202}
|
||||
\indexentry{vitesse!angulaire}{202}
|
||||
\indexentry{force@force!d'inertie}{202}
|
||||
\indexentry{poids!relatif}{203}
|
||||
\indexentry{force@force!d'inertie}{203}
|
||||
\indexentry{balance}{203}
|
||||
\indexentry{force@force!de mar\IeC {\'e}e}{203}
|
||||
\indexentry{pleine mer}{203}
|
||||
\indexentry{basse mer}{203}
|
||||
\indexentry{pleine mer}{204}
|
||||
\indexentry{basse mer}{204}
|
||||
\indexentry{zenith@z\IeC {\'e}nith}{204}
|
||||
\indexentry{maree@mar\IeC {\'e}e!de vives et mortes eaux}{204}
|
||||
\indexentry{marnage}{204}
|
||||
\indexentry{vive eau}{204}
|
||||
\indexentry{morte eau}{204}
|
||||
\indexentry{nouvelle lune}{204}
|
||||
\indexentry{pleine lune}{204}
|
||||
\indexentry{maree@mar\IeC {\'e}e!d'\IeC {\'e}quinoxe}{204}
|
||||
\indexentry{solstice}{204}
|
||||
\indexentry{equinoxe@\IeC {\'e}quinoxe}{204}
|
||||
\indexentry{ecliptique@\IeC {\'e}cliptique}{204}
|
||||
\indexentry{maree@mar\IeC {\'e}e!de p\IeC {\'e}rig\IeC {\'e}e}{205}
|
||||
\indexentry{maree@mar\IeC {\'e}e!de p\IeC {\'e}rih\IeC {\'e}lie}{205}
|
||||
\indexentry{ellipse}{205}
|
||||
\indexentry{perigee@p\IeC {\'e}rig\IeC {\'e}e}{205}
|
||||
\indexentry{apogee@apog\IeC {\'e}e}{205}
|
||||
\indexentry{ellipse}{205}
|
||||
\indexentry{perihelie@p\IeC {\'e}rih\IeC {\'e}lie}{205}
|
||||
\indexentry{aphelie@aph\IeC {\'e}lie}{205}
|
||||
\indexentry{maree@mar\IeC {\'e}e!de d\IeC {\'e}clinaison}{205}
|
||||
\indexentry{ecliptique@\IeC {\'e}cliptique}{205}
|
||||
\indexentry{maree@mar\IeC {\'e}e!c\IeC {\^o}ti\IeC {\`e}re}{205}
|
||||
\indexentry{limite de Roche}{205}
|
||||
\indexentry{cro\IeC {\^u}te terrestre}{205}
|
||||
\indexentry{Io}{205}
|
||||
\indexentry{volcanisme}{205}
|
||||
\indexentry{anneau d'ast\IeC {\'e}ro\IeC {\"\i }des}{206}
|
||||
\indexentry{Saturne}{206}
|
||||
\indexentry{energie@\IeC {\'e}nergie!hydraulique}{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}{209}
|
||||
\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}{215}
|
||||
\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}
|
||||
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\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.}{183}%
|
||||
\contentsline {subsection}{\numberline {D.6.2}R\IeC {\'e}sultats}{183}%
|
||||
\contentsline {section}{\numberline {D.7}Le canon horizontal}{183}%
|
||||
\contentsline {section}{\numberline {D.8}Le chariot \IeC {\`a} masse pendante}{184}%
|
||||
\contentsline {chapter}{\numberline {E}Rotations}{185}%
|
||||
\contentsline {section}{\numberline {E.1}Rotation de la Terre sur elle-m\IeC {\^e}me}{185}%
|
||||
\contentsline {section}{\numberline {E.2}Rotation de la Terre autour du Soleil}{185}%
|
||||
\contentsline {section}{\numberline {E.3}Rotation du Soleil dans la Voie Lact\IeC {\'e}e}{187}%
|
||||
\contentsline {section}{\numberline {E.4}Vitesse et r\IeC {\'e}f\IeC {\'e}rentiel}{187}%
|
||||
\contentsline {chapter}{\numberline {F}MRUA d\IeC {\'e}veloppements}{189}%
|
||||
\contentsline {section}{\numberline {F.1}La position}{189}%
|
||||
\contentsline {section}{\numberline {F.2}Une autre relation bien pratique}{189}%
|
||||
\contentsline {subsection}{\numberline {F.2.1}Cin\IeC {\'e}matique}{189}%
|
||||
\contentsline {subsection}{\numberline {F.2.2}\IeC {\'E}nergie}{190}%
|
||||
\contentsline {chapter}{\numberline {G}Chute de la Lune}{191}%
|
||||
\contentsline {section}{\numberline {G.1}Introduction}{191}%
|
||||
\contentsline {section}{\numberline {G.2}Acc\IeC {\'e}l\IeC {\'e}ration}{191}%
|
||||
\contentsline {section}{\numberline {G.3}Force de gravitation}{192}%
|
||||
\contentsline {chapter}{\numberline {H}Satellite en orbite g\IeC {\'e}ostationnaire}{193}%
|
||||
\contentsline {section}{\numberline {H.1}Introduction}{193}%
|
||||
\contentsline {section}{\numberline {H.2}Th\IeC {\'e}oriquement}{193}%
|
||||
\contentsline {section}{\numberline {H.3}Num\IeC {\'e}riquement}{194}%
|
||||
\contentsline {section}{\numberline {H.4}Loi de Kepler}{194}%
|
||||
\contentsline {chapter}{\numberline {I}Relativit\IeC {\'e}}{195}%
|
||||
\contentsline {section}{\numberline {I.1}Relativit\IeC {\'e} galil\IeC {\'e}enne}{195}%
|
||||
\contentsline {section}{\numberline {I.2}Transformation galil\IeC {\'e}enne}{196}%
|
||||
\contentsline {section}{\numberline {I.3}Invariance}{197}%
|
||||
\contentsline {section}{\numberline {I.4}Forces inertielles}{197}%
|
||||
\contentsline {subsection}{\numberline {I.4.1}Force d'inertie}{197}%
|
||||
\contentsline {subsection}{\numberline {I.4.2}Force centrifuge}{198}%
|
||||
\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}{211}%
|
||||
\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}{216}%
|
||||
\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}{218}%
|
||||
\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}{235}%
|
||||
\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}{250}%
|
||||
\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}%
|
||||
\contentsline {subsection}{\numberline {D.3.2}Organisation des donn\IeC {\'e}es et graphiques}{183}%
|
||||
\contentsline {section}{\numberline {D.4}Mouvement simple~: MRU}{184}%
|
||||
\contentsline {subsection}{\numberline {D.4.1}Les mesures}{184}%
|
||||
\contentsline {subsection}{\numberline {D.4.2}Organisation des donn\IeC {\'e}es et graphiques}{184}%
|
||||
\contentsline {subsection}{\numberline {D.4.3}Analyse des r\IeC {\'e}sultats}{184}%
|
||||
\contentsline {section}{\numberline {D.5}Mouvement simple~:\\MRUA}{184}%
|
||||
\contentsline {subsection}{\numberline {D.5.1}But}{184}%
|
||||
\contentsline {subsection}{\numberline {D.5.2}Th\IeC {\'e}orie}{184}%
|
||||
\contentsline {subsection}{\numberline {D.5.3}Les mesures}{184}%
|
||||
\contentsline {subsection}{\numberline {D.5.4}Organisation des donn\IeC {\'e}es et graphiques}{185}%
|
||||
\contentsline {subsection}{\numberline {D.5.5}Galil\IeC {\'e}e et le plan inclin\IeC {\'e}}{185}%
|
||||
\contentsline {section}{\numberline {D.6}La chute libre}{185}%
|
||||
\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.}{185}%
|
||||
\contentsline {subsection}{\numberline {D.6.2}R\IeC {\'e}sultats}{185}%
|
||||
\contentsline {section}{\numberline {D.7}Le canon horizontal}{185}%
|
||||
\contentsline {section}{\numberline {D.8}Le chariot \IeC {\`a} masse pendante}{186}%
|
||||
\contentsline {chapter}{\numberline {E}Rotations}{187}%
|
||||
\contentsline {section}{\numberline {E.1}Rotation de la Terre sur elle-m\IeC {\^e}me}{187}%
|
||||
\contentsline {section}{\numberline {E.2}Rotation de la Terre autour du Soleil}{187}%
|
||||
\contentsline {section}{\numberline {E.3}Rotation du Soleil dans la Voie Lact\IeC {\'e}e}{189}%
|
||||
\contentsline {section}{\numberline {E.4}Vitesse et r\IeC {\'e}f\IeC {\'e}rentiel}{189}%
|
||||
\contentsline {chapter}{\numberline {F}MRUA d\IeC {\'e}veloppements}{191}%
|
||||
\contentsline {section}{\numberline {F.1}La position}{191}%
|
||||
\contentsline {section}{\numberline {F.2}Une autre relation bien pratique}{191}%
|
||||
\contentsline {subsection}{\numberline {F.2.1}Cin\IeC {\'e}matique}{191}%
|
||||
\contentsline {subsection}{\numberline {F.2.2}\IeC {\'E}nergie}{192}%
|
||||
\contentsline {chapter}{\numberline {G}Chute de la Lune}{193}%
|
||||
\contentsline {section}{\numberline {G.1}Introduction}{193}%
|
||||
\contentsline {section}{\numberline {G.2}Acc\IeC {\'e}l\IeC {\'e}ration}{193}%
|
||||
\contentsline {section}{\numberline {G.3}Force de gravitation}{194}%
|
||||
\contentsline {chapter}{\numberline {H}Satellite en orbite g\IeC {\'e}ostationnaire}{195}%
|
||||
\contentsline {section}{\numberline {H.1}Introduction}{195}%
|
||||
\contentsline {section}{\numberline {H.2}Th\IeC {\'e}oriquement}{195}%
|
||||
\contentsline {section}{\numberline {H.3}Num\IeC {\'e}riquement}{196}%
|
||||
\contentsline {section}{\numberline {H.4}Loi de Kepler}{196}%
|
||||
\contentsline {chapter}{\numberline {I}Relativit\IeC {\'e}}{197}%
|
||||
\contentsline {section}{\numberline {I.1}Relativit\IeC {\'e} galil\IeC {\'e}enne}{197}%
|
||||
\contentsline {section}{\numberline {I.2}Transformation galil\IeC {\'e}enne}{198}%
|
||||
\contentsline {section}{\numberline {I.3}Invariance}{199}%
|
||||
\contentsline {section}{\numberline {I.4}Forces inertielles}{199}%
|
||||
\contentsline {subsection}{\numberline {I.4.1}Force d'inertie}{199}%
|
||||
\contentsline {subsection}{\numberline {I.4.2}Force centrifuge}{200}%
|
||||
\contentsline {chapter}{\numberline {J}Mar\IeC {\'e}es}{201}%
|
||||
\contentsline {section}{\numberline {J.1}Introduction}{201}%
|
||||
\contentsline {section}{\numberline {J.2}Centre de gravit\IeC {\'e}}{201}%
|
||||
\contentsline {section}{\numberline {J.3}Force d'inertie}{202}%
|
||||
\contentsline {subsection}{\numberline {J.3.1}Vitesse angulaire}{202}%
|
||||
\contentsline {subsection}{\numberline {J.3.2}Force d'inertie}{202}%
|
||||
\contentsline {section}{\numberline {J.4}Poids relatif}{203}%
|
||||
\contentsline {section}{\numberline {J.5}Analyse diff\IeC {\'e}rentielle}{203}%
|
||||
\contentsline {section}{\numberline {J.6}Autres rythmes}{203}%
|
||||
\contentsline {subsection}{\numberline {J.6.1}D\IeC {\'e}calages}{204}%
|
||||
\contentsline {subsection}{\numberline {J.6.2}Mar\IeC {\'e}es de vives et mortes eaux}{204}%
|
||||
\contentsline {subsection}{\numberline {J.6.3}Mar\IeC {\'e}es d'\IeC {\'e}quinoxes}{204}%
|
||||
\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}{205}%
|
||||
\contentsline {subsection}{\numberline {J.6.5}Mar\IeC {\'e}es de d\IeC {\'e}clinaison}{205}%
|
||||
\contentsline {subsection}{\numberline {J.6.6}Retards et mar\IeC {\'e}es c\IeC {\^o}ti\IeC {\`e}res}{205}%
|
||||
\contentsline {section}{\numberline {J.7}Limite de Roche}{205}%
|
||||
\contentsline {subsection}{\numberline {J.7.1}Mod\IeC {\`e}le simplifi\IeC {\'e}}{206}%
|
||||
\contentsline {subsection}{\numberline {J.7.2}Exemples}{207}%
|
||||
\contentsline {chapter}{\numberline {K}\IeC {\'E}nergies}{209}%
|
||||
\contentsline {section}{\numberline {K.1}Introduction}{209}%
|
||||
\contentsline {section}{\numberline {K.2}\IeC {\'E}nergie hydraulique}{209}%
|
||||
\contentsline {section}{\numberline {K.3}\IeC {\'E}nergie \IeC {\'e}olienne}{210}%
|
||||
\contentsline {subsection}{\numberline {K.3.1}R\IeC {\`e}gle de Betz}{210}%
|
||||
\contentsline {subsection}{\numberline {K.3.2}\IeC {\'E}oliennes}{211}%
|
||||
\contentsline {subsubsection}{\IeC {\'E}olienne de Collonges-Dor\IeC {\'e}naz}{211}%
|
||||
\contentsline {subsubsection}{\IeC {\'E}oliennes du Mont Soleil (Jura suisse)}{211}%
|
||||
\contentsline {section}{\numberline {K.4}G\IeC {\'e}othermie}{211}%
|
||||
\contentsline {section}{\numberline {K.5}\IeC {\'E}nergie de combustion des d\IeC {\'e}chets}{212}%
|
||||
\contentsline {chapter}{\numberline {L}Exercices}{213}%
|
||||
\contentsline {section}{\numberline {L.1}Probl\IeC {\`e}mes}{213}%
|
||||
\contentsline {subsection}{\numberline {L.1.1}Relatifs \IeC {\`a} la conversion d'unit\IeC {\'e}s et \IeC {\`a} la notation scientifique}{213}%
|
||||
\contentsline {subsection}{\numberline {L.1.2}Relatifs aux notions de d\IeC {\'e}placement, position et distance parcourue}{213}%
|
||||
\contentsline {subsection}{\numberline {L.1.3}Relatifs \IeC {\`a} la notion de vitesse}{214}%
|
||||
\contentsline {subsection}{\numberline {L.1.4}Relatif \IeC {\`a} la notion d'acc\IeC {\'e}l\IeC {\'e}ration}{214}%
|
||||
\contentsline {subsection}{\numberline {L.1.5}Relatif au MRU}{215}%
|
||||
\contentsline {subsection}{\numberline {L.1.6}Relatif au MRUA}{215}%
|
||||
\contentsline {subsection}{\numberline {L.1.7}Relatifs \IeC {\`a} la physique aristot\IeC {\'e}licienne}{216}%
|
||||
\contentsline {subsection}{\numberline {L.1.8}Relatifs \IeC {\`a} la physique newtonienne}{216}%
|
||||
\contentsline {subsection}{\numberline {L.1.9}Relatifs aux forces}{218}%
|
||||
\contentsline {subsection}{\numberline {L.1.10}Relatifs \IeC {\`a} l'\IeC {\'e}nergie}{220}%
|
||||
\contentsline {subsection}{\numberline {L.1.11}Relatifs \IeC {\`a} la conservation de l'\IeC {\'e}nergie}{220}%
|
||||
\contentsline {subsection}{\numberline {L.1.12}Relatifs \IeC {\`a} l'\IeC {\'e}nergie hydraulique}{221}%
|
||||
\contentsline {subsection}{\numberline {L.1.13}Relatifs \IeC {\`a} l'\IeC {\'e}nergie \IeC {\'e}olienne}{221}%
|
||||
\contentsline {subsection}{\numberline {L.1.14}Relatifs \IeC {\`a} l'\IeC {\'e}nergie solaire}{221}%
|
||||
\contentsline {section}{\numberline {L.2}Solutions}{222}%
|
||||
\contentsline {section}{\numberline {L.3}Solutions OS}{237}%
|
||||
\contentsline {chapter}{\numberline {M}Ordre de grandeur, erreur et incertitudes}{249}%
|
||||
\contentsline {section}{\numberline {M.1}Ordre de grandeur}{249}%
|
||||
\contentsline {subsection}{\numberline {M.1.1}Chiffres significatifs}{249}%
|
||||
\contentsline {subsection}{\numberline {M.1.2}Ordre de grandeur}{249}%
|
||||
\contentsline {section}{\numberline {M.2}\IeC {\'E}cart et erreur}{250}%
|
||||
\contentsline {section}{\numberline {M.3}Incertitude}{252}%
|
||||
\contentsline {subsection}{\numberline {M.3.1}Addition/soustraction}{252}%
|
||||
\contentsline {subsection}{\numberline {M.3.2}Multiplication par un entier}{253}%
|
||||
\contentsline {subsection}{\numberline {M.3.3}Multiplication/division}{253}%
|
||||
\contentsline {subsection}{\numberline {M.3.4}Puissance}{254}%
|
||||
\contentsline {subsection}{\numberline {M.3.5}R\IeC {\'e}sum\IeC {\'e}}{254}%
|
||||
\contentsline {subsection}{\numberline {M.3.6}Exemples}{255}%
|
||||
|
||||
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Reference in New Issue
Block a user