Q.

A solid Copper sphere is spinning about a diameter with angular velocity 10 rad/s. Due to rise in temperature, the radius of sphere increase by 1%. What will be the change in its angular velocity?

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answer is 4.

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Detailed Solution

Since no external torque is acting on the sphere, its angular momentum remains conserved.∴Iω=L=constant⇒25mR2.ω=constant⇒ω=c.R−2∴Δωω=−2ΔRR⇒Δωω×100%=−2×1%=−2%So angular velocity decreases by 2%.
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