The circular platform of radius Rp = 2.21 m and mass Mp = 315 kg rotates on the frictionless air bearings regarding its vertical axis at 6.05 rpm. The 61.1 kg man standing at the very center of the platform begins walking (at t = 0) radially outward at the speed of 0.503 m/s with respect to the platform. Approximating the man through a vertical cylinder of radius Rm = 0.245 m, find out an equation (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?