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Kinematics question centripedal acceleration and projectile motion

  1. Jan 27, 2009 #1
    1. The problem statement, all variables and given/known data
    A stone is swirled in a horizontal circle 1.00m above the ground by means of a string 2.00m long. The string breaks, and the stone files off horizontally and strikes the ground 15.0m away. What was the centripetal acceleration of the stone before the string breaks?


    2. Relevant equations

    kinematics equations

    3. The attempt at a solution
    First I calculated how long it took for the stone to fall 1 meter using h=1/2*g*t^2 since initial velocity is zero because its only rotating horizontally. I got a time of .672 seconds. Then I determined the speed necessary for the stone to travel 15m in this .672 seconds using d=v*t. I got v=22.32 m/s. I plugged this speed back into the equation for centripedal acceleration, v^2/r, and got an Ac of 249.0912 m/s^2.
    Is this correct?
     
  2. jcsd
  3. Jan 27, 2009 #2

    LowlyPion

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    I'd start by recalculating the time to fall.
     
  4. Jan 27, 2009 #3
    Ugh, yeah, I miscalculated it. I got a new t=.452. Is the process I followed on this problem correct otherwise?
     
  5. Jan 27, 2009 #4

    LowlyPion

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    Homework Helper

    Yep.

    Good luck.
     
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