A circular platform of radius Rp = 4.39 m and mass Mp = 467 kg rotates on the frictionless air bearings about its vertical axis at 5.55 rpm. A man of 69.7 kg standing at the very center of the platform begins walking (at t = 0) radially outward at a speed of 0.477 m/s with respect to the platform. Approximating the man through a vertical cylinder of radius Rm = 0.227 m, find out an equation (that is, specific expression) for the angular velocity of the platform as a function of time. Determine the angular velocity if the man reaches the edge of the platform?