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## Homework Statement

Use unit analysis to show that the constant, 2π, is unitless.

## Homework Equations

T=2π√L/g[/B]

## The Attempt at a Solution

T= [T]

L= [L]

g= a= [L]/[T]^2= [L T^-2]

[T]= 2π√[L]/[L T^-2]

[/B]

Is this correct? I wasn't really sure how to do this. I'm using book examples to help me figure it out.

I already know that 2π is unitless by its own definition.