An automobile wheel test rig consists og a uniform disk, A, of mass mA= 5,500 kg and radius rA=1.5 m, that can rotate freely about its ficed center C and over which the wheel B of an automobile is made to roll. The wheel B, with center and center of mass at D, is mounted on a shaft (not shown) that holds D fixed while allowing the wheel to rotate about D. The wheel has diameter d=0.64 m, mass mB=24.5 kg, and mass moment of inertia about its mass center ID=44 kg*m^2. Both A and B are initially at rest when B is subject to a constant torque M that causes B to roll without slip over A.
If M=1300 N*m, determine the number of revolutions of B needed to reach conditions simulating a car speed of 120 km/h.