A solid sphere is rotating in free space. If the radius of...

A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same which one of the following will not be affected?
(A) Angular velocity
(B) Angular momentum
(C) Moment of inertia
(D) Rotational kinetic energy

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Key Concepts

Angular Velocity

Angular velocity describes the rate at which an object rotates or revolves, measured in radians per second. When the moment of inertia changes while angular momentum is conserved, the angular velocity adjusts accordingly.

Rotational Kinetic Energy

Rotational kinetic energy is the energy due to an object's rotation, calculated as one half the product of its moment of inertia and the square of its angular velocity. It can change if there are modifications to the moment of inertia or angular velocity, even with constant angular momentum.

Moment of Inertia

This is a measure of an object's resistance to changes in its rotation rate. It depends on how the object's mass is distributed relative to its axis of rotation, generally increasing as the mass is located farther from the axis.

Angular Momentum

This quantity represents the product of an object's moment of inertia and its angular velocity. In a system with no external torques, angular momentum is conserved, making it independent of changes to internal distribution as long as no external forces act.

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