1.

Express the kinetic energy of a rotating body in terms of its angular momentum.

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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