Student's Angular Velocity
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A uniform 25 kg disc with a diameter of 9 meters is mounted on a frictionless axle at its center. The disc is rotating at 2.2rad/s, up. A person (85kg) is initially at its center. The person then walks out to the edge of the disc, facing forward, and catches a 2.5kg ball tossed in his face at 18m/s with respect to the ground. After the catch, what is the student's angular velocity?
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Solution Summary
This solution demonstrates how to find the angular velocity of a student after catching a ball.
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w1 = angular velocity at the beginning = 2.2 rad/s
w2 = angular velocity when the person reach the edge
w3 = angular velocity after the ball is caught.
From conservation of angular momentum,
L1 = L2 = L3
i.e. Angular momentum when the person was at the center = angular momentum when he was at the ...
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