A cylindrically shaped space station is rotating about the axis of the cylinder to create artificial gravity. The radius of the
cylinder is 82.5 m. The moment of inertia of the station without people is 3.00 ???? 10 9 kg ???? m2. Suppose that 500 people, with an average mass of 70.0 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 possible percentage change in the station’s angular speed due to the radial movement of the people?
The maximum change happens when all 500 people moves form outer surface to the station center. When all of them are at the surface, the total moment of inertia is:
When they are at the axis, the total moment of inertia is only the station's, which is
By the law of angular momentum conservation:
So the angular speed changes by 0.08 of itself, or 8%
yes he did make it, when he left at 17:00 he had 3:00 hours to make it to the party. if you divide 200/80=2.5 meaning he's able to make it in 2.5 hours.
