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

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Time to swing. The period T (time in seconds for one complete cycle) of a simple pedulum is related to the length L (in feet) of the pedulum by the formula 8T^2=π^2L. If a chi      Log On


   



Question 333630: Time to swing. The period T (time in seconds for one complete cycle) of a simple pedulum is related to the length L (in feet) of the pedulum by the formula 8T^2=π^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):
You can put this solution on YOUR website!
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=π^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?
:
I apologize for putting the wrong answer to this problem yesterday, here is the
solution for this problem
:
8T%5E2=pi%5E2L
L = 10
8T%5E2=pi%5E2%2810%29
:
8T%5E2=9.8696%2A10
:
8T%5E2=98.696
divide both sides by 8
T%5E2=98.696%2F8
:
T%5E2=12.337
T = sqrt%2812.337%29
T = 3.5 seconds