Calculating RMS Voltage & Its Dependence on Angular Velocity

AI Thread Summary
To calculate RMS voltage for the function V = Sin[wt], one must integrate over a complete cycle, which is dependent on the angular velocity (w). The RMS voltage is determined by the formula involving the integral of the square of the sine function over one complete period. Since the duration of a complete cycle is influenced by the angular velocity, the RMS voltage does indeed depend on w. Therefore, understanding the relationship between angular velocity and the period is crucial for accurate RMS calculations. Proper integration limits are essential to obtain the correct RMS value.
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Homework Statement



If V= Sin[wt]

where w = angular velocity
t is time in radians

How do you find RMS Voltage

Does RMS voltage depend on angular velocity of sin wave?


Homework Equations





The Attempt at a Solution



i integrated from 0 to PI radians and left with a sin term having omega in it.
 
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iamnew said:
i integrated from 0 to PI radians and left with a sin term having omega in it.

you must integrate a complete cycle. How long a complete cycle lasts also depends on omega.
 

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