A flat, uniform, circular disk (R = 2.25 m, m = 84.0 kg) is initially at rest, but it is free to rotate in the horizontal plane about a vertical, frictionless axis through its center. A 45.0-kg person, standing 1.5 m from the axis, begins to run on the disk in a clockwise circular path, with a tangential speed of 2.00 m/s (measured with respect to the stationary ground-not the disk). Find the resulting angular velocity of the disk.