Rotating a professor on a turntable


Assignment:

Question 1. A professor steps onto a stationary turntable while holding a rotating bicycle wheel that is rotating with an angular velocity of 15 rad/s pointing upward. The wheels axis of rotation goes through the axis of the turntable. The rotational inertia of the wheel is 1.5 kg m^2 and the combined rotational inertia of the professor and the turntable about the turntable's axis is 9.0 kg m^2. The professor flips the bicycle wheel so that it is still rotating with the same angular velocity, but pointing downward. How fast will this cause the professor and the turntable to rotate?

Question 2. How much work is required to bring a 2.00-kg mass, 4.00-cm radius uniform sphere from rest to a rotational speed of 30.0 revolutions per second about an axis through its center?

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Physics: Rotating a professor on a turntable
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