A rigid spherical body is spinning around an axis without any external torque. Due to increase in temperature its volume increases by 3%. Then percentage change in its angular speed is

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A rigid spherical body is spinning around an axis without any external torque. Due to increase in temperature its volume increases by 3%. Then percentage change in its angular speed is

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-2%

-1%

-3%

answer is A.

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Detailed Solution

If I is the moment of inertia

$\frac{Δ I}{I} = \frac{2 Δ R}{R}$

From law of conservation of angular momentum

$Iω = constant$

$∵ \frac{Δ ω}{ω} = - \frac{Δ I}{I} = - \frac{2 Δ R}{R} = - 2 %$

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