Problem 3 A revolving door has a moment of inertia of)r = 150 kg - In2 . The door is initially at rest when you approach it at a speed of v=2.0 mn's. Since you are in a big hurry you maintain a constant velocity. as you push the door at a distance R= ] .70 m from its center of rotation. {a} Determine the angular velocity of the revolving door as you leave it. (1)} Determine the amount of mechanical work you did on the revolving door (c)- Aer you depart, the revolving door makes 1.5 ill turns before coming to rest again. Determine the magnitude of the frictional torque that decelerates the rotation at a constant rate