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Tension of an Object Swinging in a Circle

  1. Nov 14, 2008 #1
    A "swing" ride at a carnival consists of chairs that are swung in a circle with a 10 m radius. It is attached to a vertical rotating pole with a 56.5 degree angle between the pole and chain of a swing. Suppose the total mass of a chair and its occupant is 210 kg.

    (a) Determine the speed of the chair.
    I found the speed of the chair by using the equation tan 0 = m x v squared/gr
    I got 12.175m/s and it is correct.

    (b) Determine the tension in the cable attached to the chair.
    I plugged the velocity that I found into the equation Fc= m x v squared/r
    I got 3112 N, which is incorrect

    tan 0= m x v squared/gr
    Ac= v squared/r
    Tc= mxac
  2. jcsd
  3. Nov 14, 2008 #2

    Doc Al

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    Staff: Mentor

    That will give you the centripetal force, not the tension in the cable. Hint: Consider the components of the cable tension. (You would be wise to draw a free body diagram illustrating the forces acting on the chair.)
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