SOLUTION: the time T (in seconds ) taken for one complete swing of a pendulum is given by T=2pi (sqrt(L/g), where g=9.8 and L is the length of the pendulum in meters. Find, to the nearest ce

Question 1016703: the time T (in seconds ) taken for one complete swing of a pendulum is given by T=2pi (sqrt(L/g), where g=9.8 and L is the length of the pendulum in meters. Find, to the nearest centimeter, the length of the pendulum that takes 2 seconds to complete one swing.
Answer by ikleyn(52810) (Show Source): You can put this solution on YOUR website!
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the time T (in seconds ) taken for one complete swing of a pendulum is given by T=2pi (sqrt(L/g), where g=9.8 and L is the length of the pendulum in meters. Find, to the nearest centimeter, the length of the pendulum that takes 2 seconds to complete one swing.
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You are given this formula

T = .   (1)

You are given T = 2 seconds, and you are asking to find L.

Express L via T from this formula:

 = ,  ----->   L = .

Now substitute your data

L = 

and calculate it yourself.

Be proud: this formula goes from Galileo and Newton, and now you use it!

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