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A 57 kilogram woman stands at the rim of a horizontal turntable having a moment of inertia of 455 kg•m² and a radius of 2 meter. 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 meter per second relative to the Earth.

(a) Find in what direction and with what angular speed does the turntable rotate?

(b) Find how much work does the woman do to set herself and the turntable into motion?

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