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You will estimate how much slower an ice skater would spin, if a can of soda...

You will estimate how much slower an ice skater would spin, if a can of soda dropped into her hand while she was spinning. You may model her body as a vertical cylinder of radius 20 cm and mass of 50 kg, spinning about a vertical axis. Assume that she's initally spinning 10 times per second, so that initially wi=20 (pi)s-1. Suddenly she is handed the soda can, which is small enough that we can model it as a point-like mass of .33kg, which she holds at a distance of 60 cm from the axis of rotation. (a) find the moment of inertia of the ice skater before the soda can drops in her hand. (b) find the moment of inertia of the point-like soda can relative to the axis about which the ice skater rotates. (c) find the total moment of inertia of the system conisting of the ice skater and the soda can. (d) find her final angular velocity wf, after the soda can falls into her hand and (e) calculate the percentage deviation, compared to her initial angular velocity wi.

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