Question
Establish the relation between angular momentum and rotational kinetic energy.
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Answer
Angular momentum $\text{L}=\text{I}\omega$ Rotational K.E.,$\text{E}_{\text{k}} =\text{I}\omega^2$ $\text{E}_{\text{k}}=\frac{1}{2}\frac{(\text{I}\omega)^2}{\text{I}}=\frac{\text{L}^2}{2\text{I}}$
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