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Q.

A wheel having moment of inertia of 2 kg-m2 about its vertical axis, rotates at the rate of 60 rpm about this axis. The torque which can stop the wheel's rotation in one minute would be

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a

2π15N−m

b

π12N−m

c

π15N−m

d

π18N−m

answer is C.

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Detailed Solution

Given that I=2kg−m2,ω0=(60/60)×2πrad/sec ω=0  and  t=60sec Now, torque  λ=Iα=Iω0−ωt∴ λ=22π−060=π15N−m
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A wheel having moment of inertia of 2 kg-m2 about its vertical axis, rotates at the rate of 60 rpm about this axis. The torque which can stop the wheel's rotation in one minute would be