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The output voltage of an AC generator is of the form V = V​0 sin(2πft). A typical frequency in household circuits is 60 Hz. Using radians for angular measure in this equation, what is the factor 2πf in radians per second for this frequency?

Respuesta :

Answer:

Value of factor 2πf in radians per second for this frequency is 377 rad/s.

Explanation:

Given :

Equation of output voltage , [tex]V=V_o\ sin( 2\pi ft)[/tex]

Frequency , f = 60 Hz .

We know , frequency is converted to angular frequency with units rad /s as :

[tex]\omega=2\pi f[/tex]

Putting value of f in above equation .

We get :

[tex]\omega=2\times \pi \times 60\\\omega = 376.99\ rad/s\\or\ , \omega=377 \ rad/s[/tex]

So , value of factor 2πf in radians per second for this frequency is 377 rad/s.

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