A car is moving from rest .After 10 sec its wheel rotate 360 times in 1 minute. If the radius of the wheel is 50 cm, then find

Question

(1) angular acceleration and
(2) angular velocity after 30 sec

Answer 1

wf=wi+alpha*time
360*2PI/60=0+alpha*60s
solve for alpha (rad/s^2)

wf=wi+alpha*time
wf=alpha*30

Notice you do NOT need the radius here, radius is needed to convert to linear velocity.