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?
:
{{{8T^2=pi^2L}}}
:
L=10
{{{8T^2=pi^2*10}}}
:
{{{T^2=pi^2(10/8)}}}
T^2 = 9.87 * 1.25
T^2 = 12.337
T = {{{sqrt(12.337)}}}
T = 3.5 sec for 1 cycle