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A student on a piano stool rotates freely with an angular speed of 3.05rev/s . The student holds a 1.45kg mass in each outstretched arm, 0.779m from the axis of rotation. The combined moment of inertia of the student and the stool, ignoring the two masses, is 5.13kg.m^2 , a value that remains constant.
(a) As the student pulls his arms inward, his angular speed increases to 3.81rev/s . How far are the masses from the axis of rotation at this time, considering the masses to be points?
(b) Calculate the initial kinetic energy of the system.
(c) Calculate the final kinetic energy of the system.
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