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Systems of Particles and Rotational Motion — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysicsSystems of Particles and Rotational Motion2 Marks
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.,Ek $=\text{I}\omega^2$
$\text{E}_{\text{k}}=\frac{1}{2}\frac{(\text{I}\omega)^2}{\text{I}}=\frac{\text{L}^2}{2\text{I}}$

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