Sound Waves in Different Mediums

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SUMMARY

Sound waves exhibit distinct behaviors when traveling through different mediums, particularly in relation to temperature and density. As temperature increases, the speed of sound also increases, affecting the frequency and wavelength. When inhaling helium, the frequency of sound increases due to the lower density of helium compared to air, resulting in a higher pitch voice. The fundamental frequency of sound can be modeled using the equation Vsnd = √(γRT/M) and is influenced by the medium's properties.

PREREQUISITES
  • Understanding of sound wave properties, including frequency and wavelength
  • Familiarity with the equation Vsnd = √(γRT/M) for sound speed
  • Knowledge of how temperature affects molecular velocity in gases
  • Basic principles of acoustics and how mediums affect sound propagation
NEXT STEPS
  • Research the relationship between temperature and sound speed in various gases
  • Explore the effects of different mediums on sound frequency and wavelength
  • Study the physics of sound wave propagation in helium versus air
  • Learn about the mathematical modeling of sound waves using string vibration principles
USEFUL FOR

Students studying physics, acoustics researchers, and anyone interested in the properties of sound waves and their behavior in different environments.

Joseph Phan
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Homework Statement


1) When sound waves travel through increasing temperature, what increases, frequency, wavelength, or both?
2) When you inhale helium and then your voice becomes high and squeaky, what causes this to happen?

Homework Equations


Vsnd= √(γRT/ M)
vsnd= λf

The Attempt at a Solution


I know that in both # 1 and 2, the speed of sound increases, but I'm fixated on the concept that when sound travels through different mediums, such as from air to water, the frequency stays the same, but the wavelength changes.

For #1, Temperature increases, which increases the velocity of the molecules in air, so I'm assuming that the frequency increases as the number of oscillations/s increases. However, does the wavelength change?

For #2, I'm confused on how frequency(pitch) changes, if the medium is changed. From the recent concept in that the frequency of sound does not change from one medium to another and that the speed of sound increases in He than in air, because He is less dense than air, how does your voice get higher as you inhale helium?
 
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Joseph Phan said:
Vsnd= √(abs T/ σ)
Where did you get this? What do symbols T and σ represent?
 
kuruman said:
Where did you get this? What do symbols T and σ represent?
My professor used different greek notations, I think what he meant was that velocity of sound was proportional to the square root of abs. temperature over inertia
 
Model the sources of sound in (1) and (2) as being strings vibrating at their fundamental frequency. Vocal chords are strings. Write an expression for the fundamental frequency in terms of the length of the strings and the speed of sound. Study the expression and consider what happens to the frequency when the speed of sound changes.
 

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