An automobile moves on a road with a speed of 54 k m h - 1 . The radius of its wheels is 0.45 m and the…

An automobile moves on a road with a speed of 54 km h-1 . The radius of its wheels is 0.45m 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:
  1. 8.58 kg ms-2
  2. 10.86 kg m2 s-2
  3. 2.86 kg m2 s-2
  4. 6.66 kg ms-2

Solution

ωi=150.45=1003 ωf=0
ωf=ωi+αt
0=1003+-α(15)
α=10045
τ=Iα=3×10045=6.66 N m

Asked in: NEET 2015 (Phase 2)

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