The equation: T= 2* pi* sqrt(2/3L/9.8) Solve for L. Please show the solution step by step. The square root is giving me trouble in my solution. Thanks for your help.

Answer 1

If L is known:

1. Plug-in the value of L.

2. Simplify the quantity under the radical.

3. Take the square root of the number
under the radical.

Example:

L = 19.6 m.
Solve for T.

T = 2pi*sqrt((2/3)*L/g)
T = 6.28*sqrt((2/3)*19.6/9.8) =
6.28*sqrt((2/3)*2) = 6.28*sqrt((4/3) =
6.28 * 1.1547 = 7.25 s.

Freq. = 1/T Hz.