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?© BrainMass Inc. brainmass.com March 5, 2021, 12:33 am ad1c9bdddf
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 ...
This solution demonstrates how to find the angular velocity of a student after catching a ball.