Estimate the fundamental frequency of resonance sound induced by blowi

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SUMMARY

The discussion focuses on estimating the fundamental frequency of resonance sound produced by blowing into a half-liter bottle. The relevant formula is f = c / (4L), where c represents the speed of sound and L is the effective length of the air column in the bottle. Participants express uncertainty regarding the length L, as the volume of the bottle alone does not provide sufficient geometric information to determine it. The equation 0.5 = πr²L is referenced, indicating the need for either the radius or diameter of the bottle to proceed with calculations.

PREREQUISITES
  • Understanding of sound wave physics and resonance
  • Familiarity with the formula for fundamental frequency f = c / (4L)
  • Basic knowledge of geometric equations related to volume and shape
  • Ability to manipulate equations involving π and volume calculations
NEXT STEPS
  • Research the speed of sound in air at different temperatures
  • Learn how to calculate the effective length of air columns in various bottle shapes
  • Explore the relationship between volume and dimensions of cylindrical objects
  • Investigate resonance frequencies in musical instruments and their geometric properties
USEFUL FOR

Students studying physics, particularly those interested in acoustics, as well as educators and anyone involved in sound engineering or musical instrument design.

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Homework Statement



Estimate the fundamental frequency of resonance sound induced by blowing on the open end of a half liter bottle

Homework Equations



f= 1c/4L

The Attempt at a Solution



i don't know the length of L,
what's half liter bottle ..? What does it tell you? 2 x f1?
 
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A half liter bottle? That is the volume of the container, but I don't know any geometric equations for a "bottle", only objects that approximate a bottle, like a cylinder, but you cannot calculate the "L" of the bottle without the radius or diameter of the object.

150px-Bouteille.jpg

Cylinderr.gif


0.5 = pi*r^2*L

Not sure there is enough available data to calculate the fundamental frequency.
 

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