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39 votes
39 votes
Tarzan swings back and forth on a

vine with a period of 7.27 s. How
long is the vine?
(Unit = m)

User Danblack
by
2.5k points

2 Answers

20 votes
20 votes

Answer: 13.1

Step-by-step explanation:

User Ray
by
3.1k points
20 votes
20 votes

Answer:

Considering Tarzan as a point mass at point L and using the equation for a simple pendulum:

P = 2 pi (L / g)1/2

P^2 = 4 pi^2 L / g

L = g P^2 / (4 pi^2) = 9.8 m/s^2 * 7.27^2 s^2 / (4 pi^2) = 13.1 m

User Mir Mahfuz
by
3.2k points