Question

Given v = 145 sin (200πt + 3π/2), what is the frequency?Question 10 options:.2 Hz31.8 Hz100 Hz200 Hz

Answer 1

`100\text{ Hz}`

Step-by-step explanation:

Here, we want to get the frequency

We have the standard form of the graph as:

`y\text{ = A sin(Bx+c)+ D}`

where:

`\text{Period = }\frac{2\pi}{B\text{ }}`

In this case, B is 200pi

Thus:

`\text{Period =}(2\pi)/(200\pi)\text{ = }(1)/(100)`

Mathematically:

`\begin{gathered} \text{Frequency = }\frac{1}{\text{Period}} \\ \\ \text{Frequency = }(1)/((1)/(100))\text{ = 100 Hz} \end{gathered}`