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=pi^2L. If a child is on a swing

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Question 126320: 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=pi^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 solver91311(12126) About Me  (Show Source):
You can put this solution on YOUR website!
Just plug in the given value for length and do the arithmetic.

8T%5E2=pi%5E2L

8T%5E2=10%2Api%5E2

T%5E2=%2810%2F8%29%2Api%5E2

T=sqrt%28%2810%2F8%29%2Api%5E2%29

T=pi%2Asqrt%2810%2F8%29%29.

Rationalize the denominator:

T=pi%2A%28sqrt%2810%29%2Fsqrt%288%29%29%28sqrt%288%29%2Fsqrt%288%29%29=pi%2A%28sqrt%2880%29%2F8%29=%284%2Api%2Asqrt%285%29%29%2F8=red%28%28pi%2Asqrt%285%29%29%2F2%29.

Now you can use the calculator to find the approximate decimal value, or leave it alone for the exact answer