SOLUTION: The period of a simple pendulum is directly proportional to the square root of its length. If a pendulum has a length of 6 feet and a period of 2 seconds, to what length should it

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The period of a simple pendulum is directly proportional to the square root of its length. If a pendulum has a length of 6 feet and a period of 2 seconds, to what length should it       Log On


   

Question 46352: The period of a simple pendulum is directly proportional to the square root of its length. If a pendulum has a length of 6 feet and a period of 2 seconds, to what length should it be shortened to achieve a 1 second period?
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
p = period
l = length
p%2Fsqrt%28l%29+=+p%2Fsqrt%28l%29
2%2Fsqrt%286%29+=+1%2Fsqrt%28l%29
sqrt%28l%29%2A2+=+sqrt%286%29
l+=+%28sqrt%286%29%2F2%29%5E2
l+=+6%2F4+=+1.5
6 - 1.5 = 4.5 feet it should be shortened