Why Are Mean and RMS Values Close to 30 in Dynamic Signal Analysis?

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SUMMARY

The discussion centers on the observation that both the mean and root mean square (RMS) values of a dynamic signal, represented by the equation y=30+(2cos(6*pi*t)), are approximately 30. This phenomenon occurs due to the nature of the signal's oscillation, where the mean and RMS values converge closely despite their typical divergence in other contexts. The participants suggest that understanding the definitions and calculations of mean and RMS values is crucial for analyzing dynamic signals accurately.

PREREQUISITES
  • Understanding of dynamic signal analysis
  • Familiarity with mean and root mean square (RMS) calculations
  • Basic knowledge of trigonometric functions and their applications in signal processing
  • Experience with mathematical modeling of periodic functions
NEXT STEPS
  • Study the mathematical definitions and applications of mean and RMS values in signal processing
  • Explore the impact of periodic functions on mean and RMS calculations
  • Learn about the significance of rounding errors in numerical analysis
  • Investigate examples of dynamic signals with varying mean and RMS values
USEFUL FOR

Students and professionals in engineering, physics, and applied mathematics who are involved in dynamic signal analysis and require a deeper understanding of mean and RMS value calculations.

krnhseya
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Homework Statement



comment on nature and meaning of results in terms of analysis of dynamic signals.
(why do i see these results and what should we do to increase the accuracy of these two values)

Homework Equations



y=30+(2cos(6*pi*t))

both mean value and rms value come out to be very close to 30ish. (29~31)

The Attempt at a Solution



i really have no idea...rounding errors?
 
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mean and rms values have to do with signals that vary with time.
They are different ways to average the signal over time.
They normally give quite different answers. For example, the 120 V on a home plugin would is 120 V RMS but has a mean of zero volts.
If you look up the term "root mean square" in your textbook and/or internet, you should find some examples to build up your experience to the point where you can say something about a signal that has a mean of 29 and and rms of 31.
 

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