A 62.99 kg woman stands at the rim of a horizontal turntable having a moment of inertia of 495 kg·m^2 and a radius of 2.00 m. The turntable is initially at rest and is free to rotate about a frictionless, vertical axle through its center. The woman then starts walking around the rim clockwise (as viewed from above the system) at a constant speed of 1.50 m/s relative to the Earth.
(a) In what direction (clockwise or counterclockwise) and with what angular speed (in rad/s) does the turntable rotate?
(b) How much work (in joules) does the woman do to set herself and the turntable in motion?