- #1

- 2,122

- 2,698

## Homework Statement

:[/B]Say for example I've got the equation of a SHM as: $$x = A \cos (\omega t + \phi)$$ where ##A## is the amplitude.

How do I find the time period of this motion?

## Homework Equations

:[/B]Stated above.

## The Attempt at a Solution

:[/B]I tried by finding the second order differential of the given equation.

## a = \dfrac {d^2 x}{d t^2} = - A \omega ^2 \cos (\omega t + \phi)##

And comparing it with the general equation for acceleration ##a = - \omega ^2 x##.

So, we can compare and find ##\omega## from here. And then the time period.

But is this approach correct? I don't think so, as ##\omega## gets canceled in the process.