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Tangential and radial acceleration

  1. Sep 5, 2009 #1
    1. The problem statement, all variables and given/known data
    A ball swings in a vertical circle at the end of a rope 1.50 m long. When the ball is 37.5° past the lowest point on its way up, its total acceleration is (-22.5 i + 20.2 j) m/s2.


    3. The attempt at a solution
    Determine the magnitude of its radial acceleration.

    My attempt, but wrong answer.
    1. total acceleration = 30.237, by resolving (-22.5 i + 20.2 j) m/s2 into R
    2. build a geometry triangle, to calculate ar
    30.237sin 37.5 = ar
    1. The problem statement, all variables and given/known data

    I think the ans should about 27-29m/s2



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Sep 5, 2009 #2

    Doc Al

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    Staff: Mentor

    You found the magnitude of the total acceleration, but what about its direction?

    Hint: Try working with each component of the total acceleration. How much of each component is in the radial direction?
     
  4. Sep 5, 2009 #3
    I think I understand now, there shouldn't have any tangential acceleration for this uniform circular motion. so the R is the ac.

    Thank you Doc Al


    more information about this question: https://www.physicsforums.com/showthread.php?t=308138
     
  5. Sep 5, 2009 #4

    Doc Al

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    Staff: Mentor

    This isn't uniform circular motion and the acceleration will have a tangential component. But no need to guess. Figure out the direction of the acceleration and how it compares with the direction of the rope.
     
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