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Centripital Force of the Earth

  1. Jan 30, 2010 #1
    Calculate the centripital force exerted on the Earth by the Sun. Assume that the period of one revolution is 365.25 days. The average distance is 1.5X10^8 km and the Earth's mass is 6X10^24 kg.

    ok so first I turned the time into seconds. Then I tried to find the velocity of the Earth using the equation:
    Vt=2piR/T
    so that became:
    Vt=2pi(1.5X10^8km)/(31557600sec)
    so the velocity was 29.86531 m/s
    I then plugged it into the equation
    Fcep=mVt^2/r
    so F=(6X10^24)(29.86531)^2/(1.5X10^8)
    F=3.5677X10^19

    apparently that was the wrong answer. I was hoping that someone could see what I did wrong and help me out.
     
  2. jcsd
  3. Jan 30, 2010 #2

    rock.freak667

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    Homework Helper

    In the next line did you convert km to m?
     
  4. Jan 30, 2010 #3
    no I did not. Lemme see if that works now
     
  5. Jan 30, 2010 #4
    Thank you so much!
     
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