Question

For the simple harmonic motion equation d=5sin((pi/4)t), what is the frequency? If necessary, use the slash (/) to denote a fraction.

Answer 1

is frequency same as period?

then it is (2pi)/(pi/4)

Answer 2

that will actually be 8


period is 8

maybe frequency is 1/8?

Answer 3

\[d=5\sin \frac{\pi}{4}t=5\sin 2\pi ft\]
Therefore:
\[2\pi f=\frac{\pi}{4}\]
\[f=\frac{\pi}{4}\times \frac{1}{2\pi}=\frac{1}{8}Hz\]

Answer 4

@kropot72 can you explain your first step please...?

Answer 5

The equation in the question can be rewritten as\[d=5\sin 2\pi ft\]
where 2pi f is called the angular frequency for a SHM.
\[\frac{\pi}{4}=2\pi f\]