Explanation:
The simple harmonic equation is given below as
[tex]d=4sin(8\pi t)[/tex]
Concept:
The period of a sine function si calculated using the formula below
[tex]\begin{gathered} =\frac{2\pi}{B} \\ where, \\ B=period \end{gathered}[/tex]
From the image below
By comparing coefficients, we will have
[tex]\begin{gathered} \frac{2\pi}{B}=8\pi \\ cross\text{ multiply, we will have} \\ 8\pi B=2\pi \\ divide\text{ both sides by 8}\pi \\ \frac{8\pi B}{8\pi}=\frac{2\pi}{8\pi} \\ B=\frac{1}{4} \end{gathered}[/tex]
Hence,
The final answer is
[tex]\Rightarrow\frac{1}{4}[/tex]
