Question:
If \( I \) is the moment of inertia and \( L \) is angular momentum of a rotating body, then \( \frac{L^2}{2I} \) is its:
If \( I \) is the moment of inertia and \( L \) is angular momentum of a rotating body, then \( \frac{L^2}{2I} \) is its:
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Rotational kinetic energy is similar to translational kinetic energy, but for rotating bodies. It depends on the angular momentum and moment of inertia.
Updated On: Feb 9, 2026
- linear momentum
- torque
- translational kinetic energy
- rotational kinetic energy
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The Correct Option is D
Solution and Explanation
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.
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.
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