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Kids at a swimming hole swing over the water on a tire swing (essentially a simp

ID: 1488782 • Letter: K

Question

Kids at a swimming hole swing over the water on a tire swing (essentially a simple pendulum) and then drop in the water. If the tire+kid takes 3.0 seconds to swing from the launching point to its farthest point over the water, how long will it take the empty tire to return for the next kid? ___3___s this answer is correct

Assuming the tire is launched without a push from its highest point, what is the frequency of the tire-swing-pendulum (unloaded)? _________Hz (the answer is not .33)

How long is the rope? _________m

Explanation / Answer

Here time period is 3+3 = 6 sec

frequency f = 1/T = 1/6 = 0.167 Hz

T = 2*pie sqrt(L/g)

6 = 2*3.14 sqrt (L/9.8)

L = 8.94 m