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

Algebra ->  Length-and-distance -> 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      Log On


   

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) About Me  (Show Source):
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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 = 2%2Api%2Asqrt%28L%2Fg%29.   (1)

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

Express L via T from this formula:

T%5E2 = 4%2Api%5E2%2A%28L%2Fg%29,  ----->   L = %281%2F%284%2Api%5E2%29%29%2Ag%2AT%5E2.

Now substitute your data

L = %281%2F%284%2A3.14%5E2%29%29%2A9.8%2A2%5E2

and calculate it yourself.

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