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Maximum speed Tarzan can tolerate

  1. Mar 1, 2010 #1
    1. The problem statement, all variables and given/known data

    Tarzan plans to cross a gorge by swinging in an arc from a hanging vine. If his arms are capable of exerting a force of 1.4x10^3 N on the vine, what is the maximum speed he can tolerate at the lowest point of his swing? His mass is 80kg and the vine is 4.8m long.

    2. Relevant equations

    F=ma
    v=(2pi*r)F

    3. The attempt at a solution

    I used the second equation to find v and ended up with 42,202 m/s, which seems way too high. I'm doubting this was the right equation to use since I didn't insert mass, and I'm not sure if 4.8m is the radius.
     
  2. jcsd
  3. Mar 1, 2010 #2
    Nevermind, I redid the problem and it makes much more sense now.
    I used f=ma, then a= F/m and got a= 17.5m/s^2. Then I used a=v^2/r and got v= 9.17m/s.
     
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