A one kg stone attached to the end of a 60 cm chain is revolving at the rate of 3 revolutions/second. If after 30 second, it is making only one revolution per second, find the mean torque
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a
0.45 N m
b
0.35Nm
c
0.25Nm
d
0.15Nm
answer is D.
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Detailed Solution
The torque τis given byτ= change in momentum time taken Here, L1=mr2ω1=mr2×2πv1and L2=mr2ω2=mr2×2πv2so, change in momentum=mr2×2πv1−v2∴ τ=mr2×2πv1−v2t =1(0⋅6)2×2π(3−1)30 =0⋅15N−m.
A one kg stone attached to the end of a 60 cm chain is revolving at the rate of 3 revolutions/second. If after 30 second, it is making only one revolution per second, find the mean torque