# Homework Help: Find the acceleration of a space station

1. Jul 8, 2012

### cabiggs22

1. The problem statement, all variables and given/known data
A space station shaped like a giant wheel has a radius 98 m and a moment of inertia of 4.95 108 kg · m2. A crew of 150 lives on the rim, and the station is rotating so that the crew experiences an apparent acceleration of 1g. When 100 people move to the center of the station for a union meeting, the angular speed changes. What acceleration is experienced by the managers remaining at the rim? Assume that the average mass of each inhabitant is 65.0 kg.

2. Relevant equations
I=MR^2
τ=Iα=rF
g=rω^2

3. The attempt at a solution

2. Jul 8, 2012

### gnulinger

What part of this problem are you having trouble doing? The first part should be figuring out how fast the station is rotating, and then using that information and the mass of the inhabitants to calculate the angular momentum/angular kinetic energy of the ship. From there, figure out what quantities are conserved.

3. Jul 8, 2012

### cabiggs22

I might be really stupid (I'm definitely not a physics person!!), but I just don't understand anything of what I am doing... Do I just make ω=sqrt(g/r) and then what?