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Particle in uniform circular motion

  1. Oct 11, 2013 #1
    1. The problem statement, all variables and given/known data

    A satellite is orbiting 600km above the Earths surface. The free fall speed is 8.21 m/s^2. The radius of Earth is 6400km.

    What is the satellites speed, and the time interval for one orbit around Earth.

    2. Relevant equations

    v = ((2)(PI)(r))/T
    ac = rw^2
    w = (2)(PI) / T

    3. The attempt at a solution

    8.21 = 7000w^2
    w = .0346

    .0346 = (2(PI)) / T
    T = .76

    (2)(PI)(7000) / .76 = 57871.44

    I am unsure of what to do or where I went wrong.
     
  2. jcsd
  3. Oct 11, 2013 #2

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

    You should always use units in your calculations. In this case, units would have shown you where the error is.
    (The result should be somewhere around 2 hours or ~7000 seconds, probably a bit less)
     
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