A 60 kg woman stands at the rim of a horizontal turntable having a moment of inertia of 500 kg-m2 and a radius of 2.0 m. The turntable is initially at rest and is free to rotate about a frictionless, vertical axle through its center. The woman starts walking around the rim clockwise, as viewed from above, at a constant speed of 1.5 m/s.
a. In what direction and with what angular speed does the turntable rotate?
b. How much work does the woman do to set herself and the turntable into motion?