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Question

A car has wheels of radius 0.30 m and is travelling at 36 m/s. Calculate :
(a) the angular speed of the wheel.
(b) If the wheels describe 40 revolutions before coming to rest with a uniform acceleration.
(i) find it angular acceleration and
(ii) the distance covered.

Solution
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Radius r=0.30m, Velocity, v=36m/s

(a) angular speed w=vr=360.3=120rad/s

(b) final angular speed w=0

From rotational kinematics w2w2=2αθ014400=2α×40×2πα=14400160π=28.6rad/s2

'Distance covered

=40×2πr=40×2π×0.3=75.39m

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