excinematiquerotation.py

Created by math-pana72

Created on April 27, 2025

690 Bytes

Dans un virage de rayon 500m, 
une voiture roule à la vitesse 
de 36km/h puis accelere de façon
constante jusqua atteindre 126km/h
en 10s

1) Calculez les acceleration 
tangentielle et angulaire

Mvt uniformement varie
aT =V-V0/t-t0
Convertion des vitesses en m/s
36km/h =36/36=10m/s
126km =126/3,6=35m/s
aT=35-10/10-0 =2,5m/scarre
 
oT= r*0
0=aT/r
0=2,5/500=5*10-3carre rad/scarre
 
2) Calculez acceleration radiale
lorsque la voiture est a la vitesse de 108km/h
r=500m
0=?
V=108km/h=30m/s

ar=r*0carre = Vcarre/r
ar=30carre/500=1,8m/s
 
3) Calculez acceleration totale 
a ce moment

a=racine at carre + ar carre
=racine 2,5carre + 1,8 carre
=3,08m/s carre

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