a car has wheel of 30cm radius. it starts from rest and accelerates uniformly to a speed of 15 m/s in a time of 8s. find the angular acceleration of its wheels and the number of rotations one makes in this time.

Answer 1

v₀ = 0
v = ω R
ω=v/R =15/0.3=50 rad/s
ω =εt=>
ε = ω/t= 50/8 =6.25 rad/s²
2πN = εt²/2
N= εt²/4π=6.25•8²/4π= 31.8 rev