Angular Speed of Disk with 260 kg Mass and 69 kg Person

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SUMMARY

The discussion focuses on calculating the angular speed of a flat uniform circular disk with a mass of 260 kg and a radius of 1.90 m, when a 69 kg person runs on it at a tangential speed of 3.10 m/s. The problem involves applying the principles of angular momentum and rotational dynamics. The resulting angular speed can be determined using the formula for conservation of angular momentum, which states that the initial angular momentum of the system must equal the final angular momentum after the person starts running.

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A flat uniform circular disk (radius = 1.90 m, mass = 260 kg) is initially stationary. The disk is free to rotate in the horizontal plane about a frictionless axis perpendicular to the center of the disk. A 69.0-kg person, standing 1.97 m from the axis, begins to run on the disk in a circular path and has a tangential speed of 3.10 m/s relative to the ground. Find the resulting angular speed (in rad/s) of the disk.

dont understand
please help
 
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Show me some work, and then ill help you. Or atleast convince yourself of the concept. I'd be happy to help, but i don't want to do it for you.
 

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