Determine the frequency of a standing wave with Young´s modulus?

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SUMMARY

The discussion focuses on determining the frequencies of standing waves in a Chau gong using Young's modulus. The user intends to compare theoretical frequencies calculated from known parameters, such as the diameter of the gong and the speed of sound, with frequencies obtained from spectral analysis using an oscilloscope and a sound intensity meter. The relationship between Young's modulus and wave frequency is crucial for this analysis, but the user is uncertain about how to apply it effectively in their calculations.

PREREQUISITES
  • Understanding of Young's modulus and its application in wave mechanics
  • Familiarity with wave equations, specifically lambda*f = v
  • Knowledge of sound propagation and speed of sound in different media
  • Experience with spectral analysis using oscilloscopes and sound intensity meters
NEXT STEPS
  • Research the relationship between Young's modulus and frequency in vibrating systems
  • Learn how to calculate standing wave frequencies in circular membranes
  • Explore the use of oscilloscopes for analyzing sound wave frequencies
  • Investigate the effects of different flash parameters (energy, effect, burn time) on sound wave generation
USEFUL FOR

Students in physics or engineering, particularly those studying wave mechanics, acoustics, or materials science, will benefit from this discussion.

Blundie
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Note: This is a laboration assignment.

Homework Statement


I want to theoretically determine the frequencies of the standing waves that occurs in a Chau gong when exposing it to a camera flash (Nikon sb-900) from a given distance. These shall then be compared to the frequencies obtained from the spectral analysis of a oscilloscope connected to a sound intensity meeter.

Diameter of the Chau Gong (or tam-tam according to wikipedia) can be measured as well as the distance between the flash and chau gong. The energy, effect and burn time of the flash are known.

Homework Equations


My handler wants me to use some relationship between Young´s modulus and the frequency and/or wavelength of the standing wave.

The Attempt at a Solution


What I can think of is lambda*f = v, where v is the wave's propagation velocity, lambda the wavelength and f the wave's frequency. The speed of sound is known as well as the diameter of the Chau Gong hence the wavelengths of the standing waves are known?


I guess I just don't know how to relate Young´s modulus to my assignment?!

I've searched a lot the last couple of days to find some insight in how to proceed but with no results. Hopefully someone here have some idea how to figure this out?
 
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Is there no one who have an idea? :(
 

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