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

For The Simple Harmonic Motion Equation D4sin8pi What Is The Period If Necessary Use The Slash To Represent A Fraction class=

Sagot :

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]

View image ShylaV766528