A teacher sits on a freely rotating stool holding two weights, each of mass 2.60

Question

A teacher sits on a freely rotating stool holding two weights, each of mass 2.60 kg. When her arms are extended horizontally, the weights are ri = 0.800 m from the axis of rotation, and she rotates with an angular speed of ?i = 0.640 rad/s. The moment of inertia of the teacher and the stool is 2.50 kg? m2. When the teacher pulls her arms in horizontally to a position of rf = 0.200 m from the axis of rotation, determine new angular speed of the teacher-stool-weight system _________________________________

Explanation / Answer

Use this method Angular momentum is conserved I . w = ( 2.57 + (2 . 3.05 . 0.99^2)) . 0.741 = 6.33 kgm^2/s I (new) . w(new) = 6.33 = (2.57 + (2 . 3.05 . 0.304^2)) . w(new) w(new) = 2.02 rad/s answer

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