If this can be done using physics without calculus and showing as much work as p
ID: 1296058 • Letter: I
Question
If this can be done using physics without calculus and showing as much work as possible. I don't remember how to do it.
2. 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 x 10^9 kg . m^2. Suppose 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 towards the axis, the angular speed of the station changes. What is the maximum possible percentage change in the station's angular sped due to the radial movement of the people?Explanation / Answer
Angular momentum will not change with the position of the people.
Case of maximum change:
Former angular momentum (when all of them are on the surface) = ( Moment of Inertia of Station + 495 x 74.9 x (89.4)^2 ) x W1, where W1 is the former angular speed.
Later angular momentum (when all of them are at the axis = Moment of Inertia of Station x W2.
So equate these two angular momenta and get W2 in terms of W1.
Hence, ( | W2 - W1 | / W1 ) x 100 will be your answer.