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    amos14's Avatar
    amos14 Posts: 1, Reputation: 1
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    #1

    Feb 14, 2012, 04:34 PM
    a 0.3 kg ball is attached to a string that is 50 cm in length, and completes 2 circle
    a 0.3 kg ball is attached to a string that is 50 cm in length, and completes 2 circles every second.Find the tension required to whirl the ball with the given constriants and also find the angle theta?
    jcaron2's Avatar
    jcaron2 Posts: 986, Reputation: 204
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    #2

    Feb 14, 2012, 08:52 PM
    Sounds like you're missing a diagram. Can you describe what you mean by the angle theta?
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #3

    Feb 15, 2012, 06:59 AM
    Consider the sum of forces acting in the vertical direction:

    .

    where = angle of the rope to the vertical.

    For the horizontal direction the horizontal component of the rope's tension must equal the ball's mass times its centripedal acceleration:



    R is the radius of the circle traced by the ball: . You can find (rotational velocity) from the period of rotation:



    So now you have two equation in two unknowns: and T. Let us know what you get for an answer and we'll check it for you.
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