Physics - Rotation Question with Solution | TestHub

Rotational kinetic energy is given by $x=\frac{1}{2}I{\omega }^2$

Angular momentum is given by $y=I\omega$

Squaring the angular momentum, $y^2=I^2{\omega }^2$

Dividing $y^2$ by $x$, we get $\frac{y^2}{x}=\frac{I^2{\omega }^2}{\frac{1}{2}I{\omega }^2}=2I$

Therefore, $I=\frac{y^2}{2x}$

Answer: $\frac{y^2}{2x}$