Equation for the Period of a Pendulum

[Spoon.]

Hey, I know that the equation to find the period of a pendulum is

T = 2$$\pi$$$$\sqrt{\frac{l}{g}}$$

and my question is how exactly did they derive this? I've done some research and it confused me even more, can someone please explain the procedure to derive this equation?

Thanks.

 

[Doc Al]

Read all about it: http://hyperphysics.phy-astr.gsu.edu/Hbase/pend.html#c3"

 

[Spoon.]

Ok I got that figured out. Thanks so much!

But I have another question...

I am to plot Log T vs Log L, where L is length of the pendulum and T is the period. I graphed this and found the slope to be around 0.404. What is significant about this slope and how does it show the relationship between L and T?

I think I'm suppose to find the equation of the line?

Thanks.

 

[Integral]

Take the log of both sides of the Simple Pendulum equation, what is the slope of the line?