SOLUTION: The time T (in seconds) required for a pendulum to make one complete swing back and forth is approximated by T= 2π√L/10 where L is the length of the pendulum in metres.

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Question 1098168: The time T (in seconds) required for a pendulum to make one complete swing back and forth is approximated by T= 2π√L/10 where L is the length of the pendulum in metres. Calculate and round to the nearest thousandth the length of a pendulum that takes 2 seconds to make a complete swing. Use 3.14 for π.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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Substitute T = 2 seconds and pi = 3.14 into your basic equation.

You will get

2 = 6.28%2Asqrt%28L%2F10%29.


They want you solve it for L.


Square both sides.  You will get


4 = %286.28%5E2%2AL%29%2F10     (1)

Then   L = %284%2A10%29%2F6.28%5E2.


You make all necessary calculations.

Solved.