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import work from year 2016-2017

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Benjamin Bertrand
2017-06-16 09:49:23 +03:00
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% origin: DNB metro septembre 2010
% theme: Lecture graphique, Statistiques, aire.
Une commune étudie l'installation d'une éolienne pour produire de l'électricité.
\begin{EnvUplevel}
\textbf{Partie 1 : Courbe de puissance d'une éolienne}
\end{EnvUplevel}
\medskip
La puissance fournie par l'éolienne dépend de la vitesse du vent.
Lorsque la vitesse du vent est trop faible, l'éolienne ne fonctionne pas.
Lorsque la vitesse du vent est trop importante, par sécurité, on arrête volontairement son fonctionnement.
\medskip
Pour le modèle choisi par la commune, on a tracé la courbe représentant la puissance fournie, en kW, en fonction de la vitesse du vent en m/s.
\medskip
\includegraphics[scale=0.9]{./fig/graph_puissance}
\vspace{0.75cm}
\begin{parts}
\part Utiliser ce graphique pour répondre aux questions suivantes :
\begin{subparts}
\subpart Reproduire puis compléter le tableau à partir du graphique.
\hspace{-1cm}
\begin{tabular}{|c|*{5}{p{2cm}|}}
\hline
Vitesse du vent (m/s) & 0 & & 10 & 15 & 20 \\
\hline
Puissance (kW) & & 100 & & & \\
\hline
\end{tabular}
\subpart Quelle puissance fournie l'éolienne quand la vitesse du vent est de 15m/s?
\subpart Quelle est la vitesse du vent quand l'éolienne fournie 250kW de puissance?
\subpart Quelle doit être la vitesse du vent pour que l'éolienne fournisse plus de 600kW?
\subpart La puissance fournie par cette éolienne est-elle proportionnelle à la vitesse du vent ? Justifier la réponse.
\end{subparts}
\vspace{0,5cm}
\begin{EnvUplevel}
\begin{EnvUplevel}
\textbf{Partie 2 : Étude de la vitesse du vent sur l'année}
\end{EnvUplevel}
\medskip
On a relevé la vitesse du vent en m/s tous les jours pendant une année de 365 jours. Les résultats ont été tracé sur ce graphique.
\includegraphics[scale=0.8]{./fig/cat_vent}
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\part Pendant combien de jours n'y a-t-il pas eut \textbf{pas assez de vent} pour faire marcher les éolienne?
\part L'éolienne marche de façon optimale les jours de \textbf{vent léger}, \textbf{bon vent} et \textbf{vent fort}. Combien de jours cela a-t-il représenté au cours de cette année?
\begin{EnvUplevel}
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\textbf{Partie 3 : Étude de la vitesse du vent sur une semaine}
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On a mesuré la force du vent pendant les 7 jours de la semaine (les relevés sont en m/s)
\hspace{-1cm}
\begin{tabular}{|p{2cm}|*{7}{p{1.8cm}|}}
\hline
Jour & Lundi & Mardi & Mercredi & Jeudi & Vendredi & Samedi & Dimanche \\
\hline
Vitesse du vent (m/s) & 6,2 & 7,4 & 8,9 & 7,6 & 12,4 & 8 & 6,1 \\
\hline
\end{tabular}
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\part Quel est le maximum de ces mesures?
\part Quel jour y a-t-il eut le moins de vent?
\part Calculer l'étendu des ces mesures.
\part Calculer la moyenne de ces mesures.
\end{parts}
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