A car has wheels of radius 0.30m and is travelling at 36m/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.
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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 w′2−w2=2αθ0−14400=2α×40×2π⇒α=−14400160π=−28.6rad/s2
'Distance covered
=40×2πr=40×2π×0.3=75.39m
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