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Centripetal acceleration/ angular velocity question

  1. Oct 31, 2012 #1
    This is my first post on here so let me know if I need to provide more info.

    1. The problem statement, all variables and given/known data
    A proposed space station includes living quarters in a circular ring 52.5 m in diameter. At what angular speed should the ring rotate so the occupants feel that they have the same weight as they do on Earth?


    2. Relevant equations
    r=c/2Pi
    a(centripetal)= v2/r => v=sqrt( ac*r
    Δ∅=s/r

    3. The attempt at a solution
    r=52.5/2*Pi= 8.356
    v= sqrt(9.81*8.356)=9.0538
    Δ∅=9.0538/8.356=1.084 rad/sec

    This was my first attempt at the problem but I was returned that the answer is wrong, any ideas on what I did?
     
    Last edited: Oct 31, 2012
  2. jcsd
  3. Oct 31, 2012 #2
    Just kidding I realized I confused the diameter with the circumference, of course it's always the little things...
     
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