SOLUTION: I am completely lost on this one,I know how to do the equations except for when it comes to the square root part. Can you give me an example or show me how to work it out please?

Algebra ->  Radicals -> SOLUTION: I am completely lost on this one,I know how to do the equations except for when it comes to the square root part. Can you give me an example or show me how to work it out please?       Log On


   

Question 590884: I am completely lost on this one,I know how to do the equations except for when it comes to the square root part. Can you give me an example or show me how to work it out please?
2. The time (in seconds) it takes a pendulum on a grandfather clock to swing back and forth once is given by T=6.28√(l/32)
Where l is the length of the pendulum in feet.
2(a) Solve this equation for l.
2(b) Suppose it takes 2 seconds for the pendulum to swing back and forth once. How long is the pendulum?
2(c) Suppose a pendulum is 1.5 feet long. How long will it take the pendulum to swing back and forth once?
2(d) How many times will the pendulum in 2(c) swing back and forth in one minute?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
2. The time (in seconds) it takes a pendulum on a grandfather clock to swing back and forth once is given by T=6.28sqrt(l/32)
Where l is the length of the pendulum in feet.
2(a) Solve this equation for l.
T=6.28sqrt%28l%2F32%29
/6.28
%28T%2F6.28%29=+sqrt%28l%2F32%29
square both sides
%28t%2F6.28%29%5E2+=+l%2F32
l=+32%28t%2F6.28%29%5E2
You can simplify .
2(b) Suppose it takes 2 seconds for the pendulum to swing back and forth once. How long is the pendulum?
l=+32%28t%2F6.28%29%5E2
plug t= 2
l=+32%282%2F6.28%29%5E2
l= 3.25 feet
2(c) Suppose a pendulum is 1.5 feet long. How long will it take the pendulum to swing back and forth once?
T=6.28sqrt%28l%2F32%29
plug l=1.5
T=6.28sqrt%281.5%2F32%29
t= 1.36 s


2(d) How many times will the pendulum in 2(c) swing back and forth in one minute?