The angular speed of a body of flexible shape is halved without applying any external torque . find the factor by which its rotational kinetic energy would change.
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When external torque is not applied, then angular momentum of the body must be conserved.
So if the angular velocity is halved, then moment of inertia of the body must become twice.
The rotational kinetic energy is directly proportional to the moment of inertia and the square of the angular velocity.
Hence the rotational kinetic energy is halved.
So if the angular velocity is halved, then moment of inertia of the body must become twice.
The rotational kinetic energy is directly proportional to the moment of inertia and the square of the angular velocity.
Hence the rotational kinetic energy is halved.
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