SOLUTION: The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T^2=pie^2L. If a child is on a swing

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Question 260000: The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T^2=pie^2L. If a child is on a swing with a 10 foot chain, then how long does it take to complete one cycle of the swing?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T^2=pie^2L.
If a child is on a swing with a 10 foot chain, then how long does it take to complete one cycle of the swing?
:
8T%5E2=pi%5E2L
:
L=10
8T%5E2=pi%5E2%2A10
:
T%5E2=pi%5E2%2810%2F8%29
T^2 = 9.87 * 1.25
T^2 = 12.337
T = sqrt%2812.337%29
T = 3.5 sec for 1 cycle