# Homework Help: Are these three things DEPENDENT on Amplitude?

1. Dec 12, 2012

### riseofphoenix

So if Period is the only thing that isn't dependent on amplitude, then that must mean
Energy (PE = 1/2 k A2), maximum acceleration, and speed is dependent on amplitude?

2. Dec 12, 2012

### ehild

Yes.

ehild

3. Dec 12, 2012

### cmmcnamara

If you examine the equations governing simple harmonic motion, you'll notice that all functions have the amplitude as a constant multiplying factor. Since the process of maximization of any of these equations is independent of A (because it's a constant multiple), the relationship between the maximum velocity or acceleration is direct therefore making them dependent on the chosen value of A. Likewise, you can see a parabolic relation exists directly from the potential energy function described in terms of amplitude.