On a trip to Dorney Park, a student with a mass of 80 kg decides to stand at the edge of the merry go round which happens to have a radius of 9.1 meters. The merry go round will be treated as if the ride itself has a moment of inertia that is equal to 775 kg*m^2. The merry go round reaches its maximum angular velocity of 2.9 rad/s. While ignoring safety features while the ride is in motion, the student makes their way to the center of the merry go round. What is the angular velocity of the merry go round once he reaches the center?
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