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Express the kinetic energy of a rotating body in terms of its angular momentum. |
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Answer» The kinetic energy of a body of moment of inertia I and rotating with a constant angular velocity ω is E = \(\frac12 I\omega^2\) The angular momentum of the body, L = Iω. ∴E = \(\frac12 (I\omega)\)ω = \(\frac12 L\omega\) This is the required relation. |
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