The general solution to simple harmonic motion is given as:

$\overline{){\mathbf{x}}{\mathbf{=}}{\mathbf{A}}{\mathbf{c}}{\mathbf{o}}{\mathbf{s}}{\mathbf{\left(}}{\mathbf{\omega}}{\mathbf{t}}{\mathbf{\right)}}}$

Angular frequency:

1 Hz = 1 s^{-1}

$\overline{){\mathbf{\omega}}{\mathbf{=}}{\mathbf{2}}{\mathbf{\pi}}{\mathbf{f}}}$

Substituting into the solution and solving for time:

A machine part is undergoing SHM with a frequency of 5.00Hz and amplitude 1.80cm . How long does it take the part to go from x=0 to x= -1.80 cm?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Intro to Simple Harmonic Motion (Horizontal Springs) concept. You can view video lessons to learn Intro to Simple Harmonic Motion (Horizontal Springs). Or if you need more Intro to Simple Harmonic Motion (Horizontal Springs) practice, you can also practice Intro to Simple Harmonic Motion (Horizontal Springs) practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Criss' class at USF.