A revolving door has a moment of inertia of 1 = 150 kg- m. The door is initially at rest when you approach it at a speed of v-2.0 m/s. Since you are in a big hurry you maintain a constant velocity, as you push the door at a distance R=1.70 m from its center of rotation. (a) Determine the angular velocity of the revolving door as you leave it. (b) Determine the amount of mechanical work you did on the revolving door (c) After you depart, the revolving door makes 1.5 full turns before coming to rest again. Determine the magnitude of the frictional torque that decelerates the rotation at a constant rate.