Q.

In the given figure, two wheels P and Q are connected by a belt B. The radius of P is three times as that of Q. In case of same rotational kinetic energy, the ratio of rotational inertias (I1I2)  will be x : 1. The value of x will be______
 

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answer is 9.

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Detailed Solution

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As per question, same rotational kinetic energy for wheel P and Q
KErot1=KErot2or,12I1(ω1)2=12I2(ω2)2 
 I1(v3R)2=I2(vR)2[ω=vR]
 I1I2=91

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