# Why doesn't amplitude affect frequency for an object in simple harmonic motion even though we have an equation relating the two?

I understand conceptually why amplitude doesn't affect frequency (especially when relating to sound - singing louder shouldn't change the frequency of the note I sing). However, the equation for the maximum velocity of an object in simple harmonic motion is $$v = A \cdot \omega$$ where $A$ is the amplitude and $\omega$ the angular speed.

But I also know that $\omega = 2\pi\cdot f$

So there is an equation $v = A\cdot2\pi f$ that relates amplitude and frequency but they don't have a relationship. How?

• Please, in the future use proper maths markup (see my edit to learn how this is done with TeX / MathJax). – leftaroundabout Feb 24 '16 at 16:30