SOLUTION: The period (the time required for one complete swing) of a simple pendulum varies directly as the square root of its length. If a pedulum 12 feet long has a period of 4 seconds, f

Algebra ->  Rational-functions -> SOLUTION: The period (the time required for one complete swing) of a simple pendulum varies directly as the square root of its length. If a pedulum 12 feet long has a period of 4 seconds, f      Log On


   

Question 212195: The period (the time required for one complete swing) of a simple pendulum varies directly as the square root of its length. If a pedulum 12 feet long has a period of 4 seconds, find the period of a pendulum 3 feet long.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P=k%2Asqrt%28L%29, where k is a constant.
P%5E2=KL
K=P%5E2%2FL
%28P1%29%5E2%2FL1=%28P2%29%5E2%2FL2
4%5E2%2F12=%28P2%29%5E2%2F3
%28P2%29%5E2=%284%5E2%2A3%29%2F12
P2=4%2Asqrt%283%2F12%29=4%2A%281%2F2%29=2
The period is 2 seconds.