What is the meaning of FWHMP and Q in my lab data?

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SUMMARY

The discussion clarifies the meanings of FWHMP and Q in lab data analysis. FWHMP, which stands for Full Width at Half Maxima, is a critical measurement in physics that can be calculated using MATLAB with a specific function file. The parameter Q relates to the behavior of a simple harmonic oscillator and influences the width of the frequency response curve. Understanding these concepts is essential for accurate data interpretation in experimental physics.

PREREQUISITES
  • Familiarity with Full Width at Half Maxima (FWHM)
  • Basic knowledge of MATLAB programming
  • Understanding of simple harmonic oscillators
  • Concept of damping coefficient (ζ) and its relation to Q
NEXT STEPS
  • Research MATLAB function files for calculating FWHM
  • Study the Q factor and its applications in physics
  • Explore the relationship between Q and the damping coefficient (ζ)
  • Investigate numerical programming in other languages for FWHM calculations
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Researchers, physicists, and students involved in experimental data analysis, particularly those working with frequency response and harmonic oscillators.

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View attachment 3986

During lab I obtained the data in the attached photo.
It then asked for me to plot the data and get an estimated FWHMP as well as a "Q"
First question is what does FWHMP and Q stand for?
Second, where on my graph would I estimate these?

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Logan Land said:
First question is what does FWHMP and Q stand for?
Second, where on my graph would I estimate these?
Except the trailing "P", FWHM stands for Full Width at Half Maxima. Here is a good Wikipedia article about it:
https://en.wikipedia.org/wiki/Full_width_at_half_maximum

FWHM can be calculated, for instance, in MATLAB using this function file: https://www.mathworks.com/matlabcentral/fileexchange/10590-fwhm

Other programming languages that have support for numerical programming should have something related to this. FWHM is fairly common in physics.
 
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Honestly, I'm not clear on where to start discussing "Q". There are a few different equivalent interpretations of it depending on your problem or field. You can start with wikipedia https://en.wikipedia.org/wiki/Q_fac... engineering, the,of the cycle of oscillation.

It is basically a parameter in the equation for the response or behavior of a simple harmonic oscillator. In your example, it will determine the width of the frequency response curve.

If you are familiar with complex numbers, I can show you some relevant equations.

Note that when you study this, some use ζ, the damping coefficient instead of Q. Q = 1/(2⋅ζ), they represent the same concept.
 
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