olivialaine31 olivialaine31
  • 14-03-2019
  • Mathematics
contestada

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).

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 24-03-2019

ANSWER

The period is

[tex] \frac{1}{60} [/tex]

EXPLANATION

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

[tex]V(t)=220 \sin(120\pi(t-1360))[/tex]

The period of this function is given by:

[tex] \frac{2 \pi}{B} [/tex]

Substitute the value of B to get;

[tex] = \frac{2\pi}{120\pi} [/tex]

Simplify

[tex] = \frac{1}{60} [/tex]

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