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

Question

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

Infinity Learn · Accepted Answer

Velocity of the automobile v $$=$$ $$54$$× $$518$$ $$=$$ $$15$$ $$m/s$$ωo $$=$$ vR $$=$$ $$150.45$$ $$=$$ $$1003$$ $$rad/sSo$$ angular acceleration   α $$=$$ ∆ωt $$=$$ ω$$f-$$ωot $$=$$ $$-10045$$ $$rad/s2So$$, torque Iα $$=$$ $$3$$×$$10045$$ $$=$$ $$6.66kg$$ $$m2s-2$$

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 $m^{2}$ . 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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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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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 $m^{2}$ . If the vehicle is brought to rest in 15 s, the magnitude of average torque transmitted by its brakes to the wheel is