Combining these two AC waveforms

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SUMMARY

The discussion centers on calculating the frequency of an AC waveform represented by the equation V3 = 294.62sin(1800 pi t - 0.56). The participant is uncertain about their frequency calculation, suspecting it to be 900 Hz. The conversation emphasizes the importance of correctly identifying the unit of the angular frequency term "1800 pi" and its relationship to the waveform's frequency.

PREREQUISITES
  • Understanding of AC waveforms and their mathematical representation
  • Knowledge of angular frequency and its relation to frequency
  • Familiarity with the formula f = 1/T for calculating frequency
  • Basic trigonometric functions and their applications in physics
NEXT STEPS
  • Research the relationship between angular frequency and frequency in AC circuits
  • Study the derivation and application of the formula f = 1/T in various contexts
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Electrical engineers, physics students, and anyone involved in analyzing AC waveforms and their properties.

joemte
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Homework Statement
2 AC waveforms are described by the following expressions (see equations), if V3 is the resultant combination of these waveforms find the following. Use angles as a decimal using a minus sign if appropriate.
Relevant Equations
V1 = 160sin(1800 pi t)V
V2 = 180sin(1800 pi t - pi/3)V
I have calculated V3 to be 294.62sin(1800 pi t + -0.56)V

I am confident this is correct but I now need to work out the frequency of the waveform, I believe it may be 900 but I am not too sure if my calculations are correct and I can't find anywhere on line that aids me in this particular instance.
 
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joemte said:
, I believe it may be 900
Yes.
Be sure to put the unit correctly.
 
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Hi Mate, what method did you use to calculate the frequency? I'd like to compare it to mine if that is ok
 
joemte said:
Hi Mate, what method did you use to calculate the frequency? I'd like to compare it to mine if that is ok
Which method did you use?

Helpers are not allowed to give answers directly. We can only check your solution and provide clues/hints wherever required.
 
Ok I understand that. Are you able to give me the generic formula for working it out? I am not sure it f= 1/T applies to this question or not
 
What is the unit of "1800pi*t" in the expressions for V1 and V2?

From that, what is the unit of 1800*pi?
 

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