A circular platform having radius Rp = 4.51 m and mass Mp = 327 kg rotates on the frictionless air bearings about its vertical axis at 7.73 rpm. The man of 88.5 kg standing at the very center of the platform begins walking (at t = 0) radially outward at a speed of 0.531 m/s with respect to the platform. Approximating the man through a vertical cylinder of radius Rm = 0.205 m, find out an equation (specific expression) for the angular velocity of the platform as a function of time. Find out the angular velocity if the man arrives at the edge of the platform?