Albert stands on a frictionless turntable, holding a bike wheel. Both Albert and the wheel are initially stationary. Albert gives the bike wheel a good spin, and it begins rotating counterclockwise. If the bike wheel has a final angular momentum of one unit, counterclockwise, what is the final angular momentum had by the rest of the system (i.e. Albert and the turntable)?
Albert flips the bike wheel upside down, so that it is now spinning the other way and has one unit of angular momentum in the clockwise direction. By how much does the angular momentum of Albert (plus turntable) change during the process of flipping the wheel?