Maximum speed Tarzan can tolerate

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Tarzan's maximum speed at the lowest point of his swing can be calculated using the force exerted on the vine and his mass. Initially, an incorrect application of the formula yielded an unrealistic speed of 42,202 m/s. The correct approach involves using F=ma to find acceleration, resulting in an acceleration of 17.5 m/s². Applying this acceleration in the equation a=v²/r leads to a maximum tolerable speed of 9.17 m/s. This calculation aligns with the physical constraints of the scenario.
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Homework Statement



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.

Homework Equations



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

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.
 
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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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