A particle of mass m revolves in a circle of radius a about the Z -axis at a uniform angular speed . When observed from a reference frame rotating about the Z -axis with a uniform angular speed ₀ , the centrifugal force acting on the particle is

Step-by-step solution

The centrifugal force is a pseudo force that arises when observations are made from a rotating reference frame. The magnitude of the centrifugal force acting on a particle of mass m at a perpendicular distance r from the axis of rotation is given by F_ c = m _ frame ^2 r , where _ frame is the angular speed of the rotating reference frame. In the given problem, the reference frame rotates with an angular speed ₀ about the Z -axis, and the particle is at a distance a from the Z -axis. Therefore, the centrifugal forc