A flat uniform circular disk (radius = 6.36 meter, mass = 220 kilogram) 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 41.0 kilogram person, standing 1.86 meter from the axis, begins to run on the disk in a circular path and has a tangential speed of 3.10 m/s relative to the ground. Evaluate the resulting angular speed of the disk.