Warm Up: Watch the video clip below
This segment from a news program details the training regiment for Dana Carellas, a 15-year old figure skater. In a number of scenes, she performs a spin; as she comes out of the spin, she extends her arms out to the side to slow down. This is a typical problem utilizing the conservation of angular momentum in which the object’s moment of inertia changes so the angular velocity changes as well.
First, consider how her moment of inertia changes. Initially, Dana can be best represented by a spinning cylinder. Assuming her mass to be 50 kg and her “radius” to be 0.2 m, her moment of inertia is:
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