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Centripetal force in vertical circles

  1. Oct 31, 2010 #1
    1. The problem statement, all variables and given/known data
    You have been asked to design a roller coaster track with a circular vertical loop in it. The loop is to have a radius of 10.0 m. How fast would the roller coaster have to be traveling so that at the bottom of the loop, the passengers will feel as if the seats are pressing on them with a force equivalent to three times their normal weight? What would they feel at the top of the loop?

    2. Relevant equations
    Fc = FappB - Fg
    FappB = Fc + Fg

    3. The attempt at a solution
    3mg = mv2 + mg
    2mg = mv2 / r
    V = 14 m/s

    How do you find out what they would feel at the top of the loop?
  2. jcsd
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