Find the acceleration of a space station

AI Thread Summary
The discussion revolves around calculating the acceleration experienced by crew members on a rotating space station after a portion of them moves to the center. The space station has a radius of 98 m and a moment of inertia of 4.95 x 10^8 kg·m², with the initial angular speed providing an apparent acceleration of 1g for the crew at the rim. When 100 crew members relocate to the center, the angular speed changes, prompting the need to reassess the acceleration for those remaining at the rim. Participants express confusion about the calculations required, particularly regarding the use of angular momentum and the conservation of quantities. The key to solving the problem lies in understanding the relationship between angular speed, radius, and apparent acceleration.
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Homework Statement


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.


Homework Equations


I=MR^2
τ=Iα=rF
g=rω^2


The Attempt at a Solution

 
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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.
 
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?
 

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