Q. 40 - Precalculus Enhanced with Graphing Utilities

Question

Find an application in your major field that leads to a

sinusoidal graph. Write a paper about your findings.

Step-by-Step Solution

Answer

The alternating current in the field of electricity and magnetism follows sinusoidal function given by

$v\left(t\right)=v_{peak}Sin\left(\omega t\right)$

Step 1. Given

A sinusoidal function. 

Step 2. Calculation

Consider $v_t$as the voltage then

$$\begin{gathered} v\left(t\right)=v_{peak}\sin \left(\omega t\right) \\ {v}_{peak=the amplitude } \\ \omega =angular frequency \\ the angular frequency can be related with frequency as, \\ \omega =2\mathrm{\pi f} \\ \mathrm{considerable} \mathrm{value} \mathrm{of} \mathrm{f} \mathrm{is} 20\mathrm{hz} \\ \mathrm{tthus}, \\ \mathrm{\omega }=100\mathrm{\pi } \\ \mathrm{Also} \mathrm{peak} \mathrm{voltage} \mathrm{is} 230 \mathrm{volt} \\ \mathrm{thus} \\ {\mathrm{v}}_{\mathrm{t}}=230\sin \left(100\mathrm{\pi t}\right) \end{gathered}$$