SOLUTION: The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T^2= pi^2L. If a child is on a swing

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T^2= pi^2L. If a child is on a swing      Log On


   

Question 99596: The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T^2= pi^2L. If a child is on a swing with a 10 foot chain, then how long does it take to complete one cycle of the swing?
Answer by Adam(64) About Me  (Show Source):
You can put this solution on YOUR website!
8T%5E2=pi%5E%282L%29 we divide both sides by 8
T%5E2=%28pi%5E%282L%29%2F8%29 we can extract the root because in this physical example, we are sure that no values are negative (cannot extract negative numbers)
T+=+sqrt%28%28pi%5E%282L%29%2F8%29%29 after substitution of 10, we get :
T+=+sqrt%28%28pi%5E%282%2A10%29%2F8%29%29 = 4.18251339837959879019990694359876215457916259765625 - exactly :-D, by the in real world such precision of computations(in physics) is completly futile, because precision of output can never be higher then precision of input. This means that it is quite useless to compute with higher precision then precision of our measurements.For instance if we measure with unit precision our results can never have higher then unit precision.