Space Station Shaped Like Giant Wheel

A space station shaped like a giant wheel has a radius of 100 m and a moment of inertia of 5.00 X 108 kg ∙ m2. A crew of 150 is living on the rim, and the station’s rotation causes the crew to experience an apparent free-fall acceleration of g. When 100 people move to the center of the station for a union meeting, the angular speed changes. What apparent free-fall acceleration is experienced by the managers remaining at the rim? Assume that the average mass for each inhabitant is 65.0 kg.

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