A cylindrically shaped space station is rotating about the axis of the cylinder to create artificial gravity. The radius of the cylinder is 159 m. The moment of inertia of the station without people is 5.83 x 10° kg-m?. Suppose 758 people, with an average mass of 60.0 kg each, live on this station. As they move radially from the outer surface of the cylinder toward the axis, the angular speed of the station changes. What is the maximum relative change (A w/w) max in the station's angular speed due to the radial movement of the people? Number i Units

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A cylindrically shaped space station is rotating about the axis of the cylinder to create artificial gravity. The radius of the cylinder is
159 m. The moment of inertia of the station without people is 5.83 x 10° kg-m?. Suppose 758 people, with an average mass of 60.0
kg each, live on this station. As they move radially from the outer surface of the cylinder toward the axis, the angular speed of the
station changes. What is the maximum relative change (A w/w) max in the station's angular speed due to the radial movement of the
people?
Number
i
Units
Transcribed Image Text:A cylindrically shaped space station is rotating about the axis of the cylinder to create artificial gravity. The radius of the cylinder is 159 m. The moment of inertia of the station without people is 5.83 x 10° kg-m?. Suppose 758 people, with an average mass of 60.0 kg each, live on this station. As they move radially from the outer surface of the cylinder toward the axis, the angular speed of the station changes. What is the maximum relative change (A w/w) max in the station's angular speed due to the radial movement of the people? Number i Units
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