A wheel having moment of inertia 2kg−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
A
2π13N−m
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B
π14N−m
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C
π15N−m
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D
π20N−m
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Solution
The correct option is Cπ15N−m Given, l=2kg−m2,ω0=6060×2πrad/s ω0 and t=60s The torque required to stop the wheel's rotation is τ=lα=l(ω0−ωt) τ=2×2π×6060×60=π15N−m