i) When a wheel (hollow cylinder of radius of .5m and mass of 2 kg) is held in place and is rotating with the frequency of 3 rev/s, determine the kinetic energy of the wheel?
ii) When the above wheel is rotating at the angular velocity of 15 rad/s, a torque is exerted to stop the wheel above an angular displacement of 45 radians, determine the magnitude of the exerted torque?