Question

For the simple harmonic motion equation d = 5 sin what is thefrequency? If necessary, use the slash () to denote a fraction.Answer here

Answer 1

Given:

`d=5sin((\pi t)/(4))`

Comparing the equation to the wave equation;

`\begin{gathered} y=Asin(\omega t\pm kx) \\ d=5sin((\pi)/(4)t) \\ \\ Hence, \\ \omega=(\pi)/(4) \\ \\ But\text{ }\omega=2\pi f \\ 2\pi f=(\pi)/(4) \\ f=(\pi)/(8\pi) \\ f=(1)/(8) \end{gathered}`

Therefore, the frequency is;

`(1)/(8)`