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La transmission du mouvement par poulies et courroies (Équipage des poulies, raison de l’équipage)
Matériel didactique : Tableau noir,craies blanches
Objectif opérationnel : A l’issue de la leçon, les élèves seront capables de calculer la raison de l’équipage des poulies

Rappel

Que pouvons-nous dire de la vitesse linéaire dans  la transmission par poulies et courroies ?

Rappel

En transmission par Poulies et courroies, la vitesse linéaire des roues et la même.

Motivation

Quelle solution apporter pour éviter l’encombrement dans  la transmission par poulies et courroies ?

Motivation

On utilise facilement l’équipage des poulies

Annonce du sujet

Qu'allons nous étudier aujourd'hui

Annonce du sujet

Aujourd'hui nous allons étudier la transmission du mouvement par poulies et courroies (Équipage des poulies, raison de l’équipage) 

Equipage des poulies, raison de l’équipage

Equipage

Equipage des poulies, raison de l’équipage

Equipage

Soit une poulie motrice de 250mm de Ø devant tourner à la vitesse de 1500 tr/min. Supposons que l’arbre récepteur doit tourner à une vitesse 10 fois plus faibles il faut alors employer une poulie de  Ø 10 fois plus grand soit 2500mm.

Pourquoi utilise-t-on l’équipage des poulies ?

L’encombrement qui résulterait d’une liaison directe de 2 poulies est acceptable dans certain cas, mais dans d’autre il est préférable d’utiliser l’équipage des poulies des que le rapport de vitesse excède : 1/6.

Raison

On appelle raison de l’équipage, le rapport de vitesse de rotation de la dernière poulie menée et de la première poulie menante.

 

Donner l'expression de la raison en fonction des vitesses de rotation

Si DA, DB, Dc, De, Df, et Dg les diamètres des poulier et Na, Nb, Nc Ne, Nf et Ng leurs vitesses de rotation respectives.

Nb/Na=Da/Db    =      Ne/Nc=Dc/Df     =     Ng/Nf=Df/Dg

Multiplions les rapports membre à membre et nous remarquons que :

Les diamètres des poulies menantes et les produits des différent poulies menées 

Synthèse de la leçon 

NB : la raison est dite positive si les roues externes tournent dans le même sens.

Elle est négative si les roues externes tournent en sens contraire.

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