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B Why centripetal force does not increase the value of tangent

  1. Jul 18, 2016 #1
    2Mpk3.png ]
    I found in a text book that the value does not change because the centripetal force is perpendicular to the tangential velocity.

    But I am confused, because a vector can have a component, which is perpendicular to the vector.
    So if the centripetal force is perpendicular to the tangential velocity, the component of the centripetal force which
    is perpendicular to the centripetal force and
    _parallel_ to the tangential velocity is reasonable.so according to that centripetal force can increase the value of tangential velocity.I need help.I have searched everywhere but have not got the answer.
    2Mpk3.png
     
  2. jcsd
  3. Jul 18, 2016 #2

    rcgldr

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    Homework Helper

    By definition, centripetal force is perpendicular to velocity, so it changes the velocities direction but not the speed. For example, consider a car traveling at constant speed on a winding road, the direction changes, but not the speed.
     
  4. Jul 19, 2016 #3
    I know the definition but I want to know why?
     
    Last edited by a moderator: Jul 19, 2016
  5. Jul 19, 2016 #4

    A.T.

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    Gold Member

    You can decompose a vector into multiple vectors, which have non-zero components perpendicular to the original vector. But those components cancel each other out, so they have no net effect.
     
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