Rankers Physics
Topic: Rotational Motion
Subtopic: Angular Momentum and Conservation of Angular Momentum

What is moment of inertia in terms of angular momentum (L) and kinetic energy (K)
\[ \frac{L^{2}}{K} \]
\[ \frac{L^{2}}{2K} \]
\[ \frac{L}{2K^{2}} \]
\[ \frac{L}{2K} \]

Solution:

\[ L = I \omega \]

and

\[ K = \frac{1}{2} I \omega^{2} \]

Squaring L and Dividing it with K we get,

\[ I=  \frac{L^{2}}{2K} \]

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