A flat uniform circular disk (radius = 2.00 meter, mass = 1.00x10^2 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 40.0 kilogram person, standing 1.25 meter from the axis, begins to run on the disk in a circular path and has a tangential speed of 2.00 m/s relative to the ground. Evaluate the resulting angular speed of the disk (in rad/s) and explain the direction of the rotation.