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A flat uniform circular disk (radius = 5.44 m, mass = 320 kg) is initially stationary....

A flat uniform circular disk (radius = 5.44 m, mass = 320 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 66.4-kg person, standing 2.40 m from the axis, begins to run on the disk in a circular path and has a tangential speed of 2.97 m/s relative to the ground. Find the magnitude of the resulting angular speed (in rad/s) of the disk. Answer to 3 significant figures.

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