1. A merry-go-round with a frictionless axle, spinning at 1.0 rad/s, has three identical children on it, all initially at the outside edge. What happens to the angular momentum of the system as the children walk in to the center?
2. What happens to the rotational energy of the system as the children walk in to the center? Explain how this works, in light of conservation of energy.
3. When the three children get to the center, the angular speed of the merry-go-round is 2.0 rad/s. What is the angular speed when they are all half-way out?
Update:Thank you for your quick responses...but the three questions all specifically need answers beyond that momentum and energy are conserved...
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Angular momentum is conserved. Therefore, when the children walk to the center, the rotation speed must increase.
I assume your professor has said sometihng in the past few weeks along the lines of "Energy is always conserved" or "Momentum is always conserved." That still applies, even when it is angular momentum or rotational energy.