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B Centripetal Force and Radius

  1. Jan 19, 2017 #1
    Hi, I'm currently studying for a physics test tomorrow, but something that has been confusing me is centripetal force.

    My textbook states that, "Traveling in a circular path with a smaller radius of curvature requires a greater centripetal force".

    But my question is, why, and how is that true? I would have assumed at first that if the radius was getting shorter, then the centripetal force would be decreasing, and not increasing.

    So why exactly, and how does having a shorter radius result in greater centripetal force?

    Thanks :)
     
  2. jcsd
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