Question

The voltage, V, produced by an ac generator at time, t, in seconds, is V(t)=220sin(120π(t−1360)). Find the period of V(t).

Answer 1

ANSWER

The period is

$\frac{1}{60}$

EXPLANATION

The equation that models the voltage, V, produced in an AC generator at time, t, in seconds is

$V(t)=220 \sin(120\pi(t-1360))$

The period of this function is given by:

$\frac{2 \pi}{B}$

Substitute the value of B to get;

$= \frac{2\pi}{120\pi}$

Simplify

$= \frac{1}{60}$