Physics expert needed to explain a formula to me! Please help?

Question

My teacher asked us to research the meaning of a formula. I don't know how to type it up into google or anything so I was hoping someone can help me.
http://i5.photobucket.com/albums/y162/MuffinMilk/formuala.jpg
^that's the formula, i had to write it and then scan it
please + thank you.

Answer 1

It's the period of a simple pendulum. Isn't it in your textbook? That would be the place your research should start.

Answer 2

It is a formula for period of mathematical pendulum.

For physicists meaning of the formula is understanding how the value on the left side varies when you vary some value on the right side.

As you can see, the longer the pendulum, the longer the period. Period is proportional to squareroot of length, so when length increases 4 times period would increase only twice.

You also can discuss that period would be longer on the Moon:) where g is 6 times less. In that case the smaller g the larger T and dependence is inversely proportional to square root, so if g decreases 4 times period would increase twice.

Answer 3

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