# Simple Harmonic Oscillator Equation Solutions

1. Sep 25, 2013

### logan3

These are practice problems, not homework. Just wanting to check to see if my process and solutions are correct.

1. Given the following functions as solutions to a harmonic oscillator equation, find the frequency f correct to two significant figures:

f(x) = e-3it
f(x) = e-$\frac{\pi}{2}$it

2. Harmonic oscillator equation:
$\frac{d^{2}y}{dt^{2}} = -ω^{2}y$

frequency (f) = $\frac{ω}{2\pi}$

3. Since a solution to the harmonic oscillator equation can be in the form of e-iωt, then ω = 3 in the first solution and $\frac{\pi}{2}$ in the second. Plugging both of these into the frequency equations yields:

f = $\frac{3}{2\pi} = 0.48$ and

f = $\frac{\frac{\pi}{2}}{2\pi} = 0.25$

Thank-you.

Last edited by a moderator: Oct 1, 2014
2. Sep 26, 2013

### rude man

OK. Oh, I need a minimum of 4 characters/
Ok Ok.

3. Sep 26, 2013

### logan3

Sorry, I don't understand your post.

4. Sep 26, 2013

### rude man

I meant to say I agree with you.