Question

The rotational kinetic energy of a body is E and its moment of inertia is I. The angular momentum is

Answer 1

According to the question

$E=\frac{1}{2}I{\omega }^2$ where, $\omega =$ angular velocity

$\Rightarrow \omega =\sqrt{\frac{2E}{I}}$

Then, angular momentum

$L=I\omega$

$L=I\sqrt{\frac{2E}{I}}$

$L=\sqrt{2EI}$.