- #1
PeachBanana
- 191
- 0
Homework Statement
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.
Homework Equations
Tension force - mg = ma
(a * r)^1/2 = v
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.