If the radius of rotation and the mass being kept constant how does centripetal force vary with the speed of rotation body?

Centripetal force is directly proportional to the square of the speed of rotation. As the speed of rotation increases, the centripetal force required to keep the object moving in a circular path also increases. This relationship follows the formula Fc = mv^2 / r, where Fc is the centripetal force, m is the mass, v is the speed, and r is the radius of rotation.