1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Space Station - Conservation of Angular Momentum

  1. Nov 16, 2005 #1

    A space station shaped like a giant wheel has a radius 109m and a moment of inertia of 5.07x10^8 kgm^2. A crew of 180 is living on the rim, and the station is rotating so that the crew experiences an apparent acceleration of .8g. When 140 people move to the center of the station for a union meeting, the angular speed changes. What apparent acceleration is experienced by the managers remaining at the rim? Assume an average mass of 64.0 kg for all the inhabitants.

    What I have done thus far:
    I = 5.07x10^8
    N = 180
    N`= 40
    m = 64.0
    A = .8

    L = L`
    L = (I + NmR^2)w
    L` = (I + N`mR^2)w`

    w' = [(I + NmR^2)w] / (I + N`mR^2)

    Problem: How do I solve for radial acceleration, when I do not even have the radial speed or the initial speed.

    W = Initial + AT ---- Are they asking for radial acceleration or the force felt pushing the inhabitants down on the rim.
    Any help is appreciated.
    Last edited: Nov 16, 2005
  2. jcsd
  3. Nov 16, 2005 #2
    Alright I solved it

    Basically I did the following:

    Acceleration is the centrifugal force with is equal in magnitude to the centripital force.

    Ar = V^2 / 2
    V = Root (Ar*R)
    w = Root (Ar*R) / R

    Substuting that for w` and w I arrived at the equation

    Ar` = [([(I + NmR^2) * Root (Ar*R) / R] / (I + N`mR^2)) R ] ^2 / R
    Ar` = 1.15g Can anyone double check for me.
  4. Nov 16, 2005 #3


    User Avatar
    Homework Helper

    Check. I got 1.148g
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Space Station - Conservation of Angular Momentum
  1. Space Station (Replies: 1)

  2. Space station (Replies: 10)

  3. Space station problem (Replies: 4)