Combining these two AC waveforms

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Discussion Overview

The discussion revolves around the calculation of the frequency of an AC waveform represented by the expression V3 = 294.62sin(1800 pi t - 0.56). Participants are exploring methods for determining frequency and clarifying the units involved in the waveform expressions.

Discussion Character

  • Technical explanation, Conceptual clarification, Homework-related

Main Points Raised

  • One participant calculated V3 and proposed a frequency of 900, expressing some uncertainty about the correctness of this calculation.
  • Another participant confirmed the proposed frequency but emphasized the importance of using correct units.
  • Several participants inquired about the methods used for frequency calculation, indicating a desire to compare approaches.
  • There was a request for a generic formula for frequency calculation, with uncertainty expressed about the applicability of the formula f = 1/T in this context.
  • A question was raised regarding the units of "1800pi*t" in the waveform expressions, prompting further clarification on the units involved.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the frequency calculation, and multiple methods and interpretations are being discussed without resolution.

Contextual Notes

There are unresolved questions regarding the assumptions behind the frequency calculation and the definitions of the units involved in the waveform expressions.

Who May Find This Useful

This discussion may be useful for individuals interested in AC waveform analysis, frequency calculations, and the application of mathematical formulas in electrical engineering contexts.

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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