A circular platform of radius Rp = 5.95 m and mass Mp = 359 kg rotates on frictionless air bearings about its vertical axis at 6.99 rpm. An 80.1-kg man standing at the very center of the platform starts walking (at t = 0) radially outward at a speed of 0.737 m/s with respect to the platform. Approximating the man by a vertical cylinder of radius Rm = 0.241 m, determine an equation (specific expression) for the angular velocity of the platform as a function of time. What is the angular velocity when the man reaches the edge of the platform?