Posted by Carolyn on .
The Length of time (T) in seconds it takes the pendulum of a clock to swint through one complete cycle is given by the formula T=2pie square root of 7 divided by 32 where L is the length in feet, of the pendulum, and pie is approximately 22 divided by 7. How long must the pendulum be if one complete cycle takes 2 seconds?

algebra 
Damon,
T = 2 pi sqrt (L/g)
g = 32 ft/s2
here
2 = 2 (22/7) sqrt (L/32)
sqrt (L/32) = 7/22
L/32 = 49/484
L = 3.24 ft
check by hanging a weight from a 3' 3" string