Question

An AC generator produces an output voltage E = 200 sin66.883 t volts. What is the frequency of the voltage ?

Answer 1

`\begin{equation*} 10.64\text{ }Hz \end{equation*}`

Step-by-step explanation

We want to find the frequency of the Voltage.

From the equation of the voltage, the coefficient of t represents the angular frequency. This implies that the angular frequency is:

`\omega=66.883`

The angular frequency is related to the frequency as follows:

`\begin{gathered} \omega=2\pi f \\ \\ f=(\omega)/(2\pi) \end{gathered}`

Therefore, the frequency of the voltage is:

`\begin{gathered} f=(66.883)/(2\pi) \\ \\ f=10.64\text{ }Hz \end{gathered}`

That is the answer.