Question

For the simple harmonic motion equation d=8 sin(4 pi t) , what is the period? If necessary, use the slash (/) to represent a fraction.

Answer 1

So when we're dealing with sine and cosine,
\[\large y=asin(\color{royalblue}{b}t)\]
Our period, generally labeled as \(\large T\), is given by, \(\large \dfrac{2\pi}{b}\).

So what is our \(\large b\) value in this problem? It appears to be the \(\large 4\pi\) yes?

Answer 2

\[\large T=\frac{2\pi}{4\pi}\]

Answer 3

Yea

Answer 4

1/2

Answer 5

Yah sounds right! :) good job.