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Q.

An automobile moves on a road with a speed of 54 km h-1. The radius of its wheels is 0.45 m and the moment of inertia of the wheel about its axis of rotation is 3 kg m2. If the vehicle is brought to rest in 15 s, the magnitude of average torque transmitted by its brakes to the wheel is

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a

2.86 kg m2s-2

b

6.66 kg m2s-2

c

8.58 kg m2s-2

d

10.86 kg m2s-2

answer is B.

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Detailed Solution

Velocity of the automobile v = 54× 518 = 15 m/sωo = vR = 150.45 = 1003 rad/sSo angular acceleration   α = ∆ωt = ωf-ωot = -10045 rad/s2So, torque Iα = 3×10045 = 6.66kg m2s-2
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An automobile moves on a road with a speed of 54 km h-1. The radius of its wheels is 0.45 m and the moment of inertia of the wheel about its axis of rotation is 3 kg m2. If the vehicle is brought to rest in 15 s, the magnitude of average torque transmitted by its brakes to the wheel is