A flat uniform circular disk (radius = 2.60 m, mass = 100 kg) is initially stationary. The disk is free to rotate in the horizontal plane about a frictionless axis perpendicular to the center of the disk. A 50.0-kg person, standing 1.70 m from the axis, begins to run on the disk in a circular path and has a tangential speed of 3.0 m/s relative to the ground. Find the resulting angular speed (in rad/s) of the disk.