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A student holds a spinning bicycle wheel while sitting motionless on a stool that is free to rotate about a vertical axis through its center (see the figure below). The wheel spins with an angular speed of 16.1 rad/s and its initial angular momentum is directed up. The wheel's moment of inertia is 0.110 kg · m2 and the moment of inertia for the student plus stool is 3.30 kg · m2.
(a)
Find the student's final angular speed (in rad/s) after he turns the wheel over so that it spins at the same speed but with its angular momentum directed down.
rad/s
(b)
Will the student's final angular momentum be directed up or down?
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