A cylindrically shaped space station is rotating around the axis of the cylinder to make artificial gravity. The radius of cylinder is around 333 m. The moment of inertia of the station devoid of people is 8.20 x 109 kg•m2. Assume that 355 people, having an average mass of 53.0 kg each, live on this station. As they move radially from the outer Determine the maximum relative change max in the station's angular speed due to the radial movement of the people?