(adsbygoogle = window.adsbygoogle || []).push({}); 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, as shown in the figure.

If his arms are capable of exerting a force of 1200 N on the vine, what is the maximum speed he can tolerate at the lowest point of his swing? His mass is 100 kg, and the vine is 4.5 m long.

2. Relevant equations

Tension force - mg = ma

(a * r)^1/2 = v

3. The attempt at a solution

1400 N = (100 kg)(a)+(100 kg)(9.8m/s^2)

420 N = 100kg * a

a = 4.20 m/s^2

(4.20 m/s^2)(2.25m)^1/2 = v

Why is it incorrect to use 2.25 m as the radius? They gave the entire length of the vine.

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# Centripetal Acceleration with Tarzan

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