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Evgesh-ka [11]
3 years ago
10

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).

Mathematics
1 answer:
patriot [66]3 years ago
5 0

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}

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