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Q.

In absence of torque the rotational frequency of a body changes from 1 cy/sec to 16 cy/sec, then ratio of radius of gyration in two cases will be x:2 . Find the value of x.

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answer is 8.

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Detailed Solution

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torque = 0

⇒L→ is conserved.

⇒MK12ω1=MK22ω2

⇒K1K2=ω2ω1=2πf22πf1=f2f1

⇒x2=161=4

⇒x=8

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