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

The period is

`(1)/(60)`

Step-by-step 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:

`(2 \pi)/(B)`

Substitute the value of B to get;

`= (2\pi)/(120\pi)`

Simplify

`= (1)/(60)`