Intro to Simple Harmonic Motion (Horizontal Springs) Video Lessons

Concept

# Problem: 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?

###### FREE Expert Solution

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:

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###### Problem Details

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?