Please answer this Physics question.

4. A thin hoop with mass M = 3.4 kg and radius R = 1.2 m is rotating about its central axis with an initial angular speed of w; = 2.2 rad/s. A torque is then applied to the hoop during 2.5 revolutions and the hoop's final angular speed is wy = 4.0 rad/s. (a) Calculate the initial rotational kinetic energy. (b) Calculate the final rotational kinetic energy. (c) Calculate the work done on the hoop by the applied torque. (d) Determine the torque applied to the hoop. The rotational inertia of a hoop is MR'. Show all your work