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Homework Help: Centripetal Force at an Angle

  1. Feb 11, 2008 #1


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    [SOLVED] Centripetal Force at an Angle

    1. The problem statement, all variables and given/known data

    The design of a new road includes a straight stretch that is horizontal and flat but that suddenly dips down a steep hill at 22 degrees. The transition should be rounded with what minimum radius so that cars traveling 90 km/h will not leave the road?

    2. Relevant equations


    3. The attempt at a solution

    90 km/hr=25 m/s. I tried setting up an equation where the centripetal force equaled the force of gravity:(25^2)/r=9.8 sin 22 , but that gives me a radius of approximately 170.25m, when the correct answer is 63.8m.

    EDIT: Solved. (25^2)/r=9.8
    Last edited: Feb 11, 2008
  2. jcsd
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