# Relationship of simple pendulum

1. May 4, 2013

### joelKID984

hi guys,

I'm currently working on a physics report about a simple pendulum and cant figure out how to answer one of the questions:

3. "define all terms in the solution(x(t)=Acos(ωt)) and especially the relationship between angular frequency, and periodic time, T."

ive defined all the terms, A is amplitude, ω is angular frequency etc. but have no clue of the relationship between angular frequency, and periodic time?????

I know that ω=2∏/T = 2∏f

and

T=2∏√l/g

but don't get their relationship?

any help will be great.

cheers,
Joel C.

2. May 4, 2013

### rock.freak667

The other formula you gave just gives the periodic time as a function of length.

3. May 4, 2013

### joelKID984

Thanks mate.

So I something like "it can be established that the relationship between angular frequency and period time is:

ω=2∏f"

Do I say anything else? There is 2∏ in both equations, is that some sort of relationship?

Cheers,
Joel

4. May 4, 2013

### rock.freak667

The only other relation would be T=2π√(l/g), but generally you can leave it as that.

In the derivation for the periodic time, you get to a point where ω2= g/l and that ω=2π/T as per its definition.