A body executes pure rotation. The angular velocity of the body, the distance r of a particle from the axis, and the linear speed v of the particle satisfy the relation = v r . Therefore,

Step-by-step solution

For a rigid body executing pure rotation, all particles of the body rotate with the same angular velocity . The linear speed v of a particle at a distance r from the axis of rotation is given by v = r . Since is the same for all particles of the rigid body, it does not depend on the distance r of the particle from the axis of rotation. Therefore, is independent of r .