How Are Standing Sound Waves Solved?

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SUMMARY

The discussion centers on solving standing sound waves, specifically addressing the calculation of wave velocity in different mediums. The participants clarify that while the velocity of sound in air is commonly referenced, it is essential to use the appropriate velocity for waves on a string. The relationship between frequency and wave properties is emphasized, with the equation F1 = m(v/(2*L)) being highlighted as critical for determining the length of the wave when frequency is known.

PREREQUISITES
  • Understanding of wave mechanics and standing waves
  • Familiarity with the relationship between frequency, wavelength, and wave velocity
  • Basic knowledge of string vibration and its properties
  • Ability to manipulate algebraic equations involving wave parameters
NEXT STEPS
  • Research the properties of standing waves in different mediums, including air and strings
  • Learn about wave velocity calculations in various materials
  • Explore the mathematical relationships between frequency, wavelength, and wave speed
  • Study the implications of wave length and frequency on musical notes and harmonics
USEFUL FOR

Physics students, music theorists, and anyone interested in acoustics and wave behavior in different mediums.

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Solved it. Thanks anyway.
 
Last edited:
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Wait, how do you know the velocity of the wave? Doesn't that only work for a wave in air? Shouldn't you use a different value for the velocity on a string?

EDIT: It really doesn't matter, though. Everything but the length and frequency will cancel.

So if F = 440hz, then F1 = 440hz = xF2 = x(523hz), right? Where x is some constant to get 440 (don't want to calculate it =/ )

So then F1 = m(v/(2*30)) = xm(v/(2*L))

You know everything but L by now and everything else cancels.
 
Last edited:

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