Question

A metallic circular wheel is rotating about its own axis without friction. If the radius of wheel expands by 0.2%, percentage change in its angular velocity

Moderate

Solution

$\begin{array}{l} Iω = {mr}^{2} ω = constant \\ ω \propto r^{- 2} and \frac{Δω}{ω} = - 2 \frac{Δr}{r} \end{array}$

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