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# Conservation of Angular Momentum and Apparent Free-Fall Acceleration

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A space station is shaped like a giant wheel and has a radius of 100 metres and a moment of inertia of 5.00 x 10^8 kg m^2. A crew of 150 is living on the rim. Assume average mass for a crew member as 65 kg. The station's rotation causes the crew to experience an apparent free-fall acceleration of g. 100 of the crew members move to the center of the station. What apparent free-fall acceleration is experienced by the 50 crew members remaining on the rim of the station.

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#### Solution Summary

This solution is provided in approximately 242 words in an attached .doc and .pdf file. It discusses how moment of inertia, angular momentum and angular velocity are interlinked and how this information can be used to calculate centripetal acceleration.

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