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 4.23 x 109 kg·m2. Suppose 299 people, with an average mass of 67.0 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 (delta omega/omega) max in the station's angular speed due to the radial movement of the people?
Please help, I'm very confused on this one.