A student sits on a pivoted stool holding a pair of weights. The stool is free to rotate about vertical axes with negligible friction. The student is set in rotation with arms outstretched, holding a 5-kg mass in each hand. He is rotating about a vertical axis with an angular velocity of one revolution per second, arms outstretched. If he pulls the weights inward, what will the final angular velocity (in rev/s) be if his moment of inertia remains approximately constant at 5 kg×m2, and the distance of the masses from the axis changes from 1 m to 0.1 m

A student sits on a pivoted stool holding a pair of weights. The stool is free to rotate about vertical axes with negligible friction. The student is set in rotation with arms outstretched, holding a 5-kg mass in each hand.
  He is rotating about a vertical axis with an angular velocity of one revolution per second, arms outstretched. If he pulls the weights inward, what will the final angular velocity (in rev/s) be if his moment of inertia remains approximately constant at 5 kg×m2, and the distance of the masses from the axis changes from 1 m to 0.1 m?

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