"The exact relationship for the period T of a simple pendulum is T=2*pi*sqrt_of(l/g) where l is the length of the pendulum, and g is the acceleration of gravity."
I have to rearrange the formula to where you solve for l instead of t. I started to try to do it, but I don't think I started off correctly. Does anybody know how to do this? Thanks!
T = 2 pi sqrt (L/g)
T^2 = 4 pi^2 L/g
g T^2 = 4 pi^2 L
L = g T^2 / (4 pi^2)
Oh, okay! See, I got the second step right, I just thought it was way off track. Thanks!
To rearrange the formula to solve for l instead of T, we need to isolate l on one side of the equation.
The formula given is:
T = 2 * π * √(l/g)
To solve for l, we need to get rid of the square root by squaring both sides of the equation:
T^2 = (2 * π * √(l/g))^2
T^2 = 4 * π^2 * (l/g)
Next, we need to isolate l. Start by multiplying both sides of the equation by g:
g * T^2 = 4 * π^2 * l
Now, divide both sides of the equation by 4 * π^2 to solve for l:
l = (g * T^2) / (4 * π^2)
So, the rearranged formula to solve for l is:
l = (g * T^2) / (4 * π^2)