Skaters often end their performances with spin turns, where they spin very fast about their center of mass with their arms folded in their legs together. Upon ending, their arms extend outward, proclaiming their finish. Not quite as noticeably, one leg goes out as well. 

Part A Suppose that the moment of inertia of a skater with arms out and one leg extended is 2.9 kg. m and for arms and legs it is 0.70 kg. m. If she starts out spinning at 5.8 rev/s, what is her angular speed (in rev/s) when her arms and one leg open outward? Express your answer in revolutions per second

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The phenomenon youre describing is an application of the principle of conservation of angular moment... View the full answer