A circular platform having radius Rp = 4 m and mass Mp = 368 kg rotates on the frictionless air bearings about the vertical axis at 9 rpm. A man of 87 kg standing at the very center of the platform begins walking (at t = 0) radially outward at a speed of 0.5 m/s with respect to the platform. Approximating the man through a vertical cylinder of radius Rm = 0.2 m, find out an equation (specific expression) for the angular velocity of the platform as the function of time.
Determine the angular velocity if the man reaches the edge of the platform?