Question

If \( I \) is the moment of inertia and \( L \) is angular momentum of a rotating body, then \( \frac{L^2}{2I} \) is its:

• A. linear momentum
• B. torque
• C. translational kinetic energy
• D. rotational kinetic energy

Hint:

Rotational kinetic energy is similar to translational kinetic energy, but for rotating bodies. It depends on the angular momentum and moment of inertia.

Answer 1

The Correct Option is D

Step 1: Formula for Rotational Kinetic Energy.
The rotational kinetic energy \( K \) is given by: \[ K = \frac{L^2}{2I} \] This is the expression for the kinetic energy associated with the rotation of a body with moment of inertia \( I \) and angular momentum \( L \). Step 2: Final Answer.
Thus, \( \frac{L^2}{2I} \) represents the rotational kinetic energy of the body.