Formula for the Length of the pipe.

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SUMMARY

The length of a pipe open at both ends can be calculated using the formula for wavelength, λ = v/f. Given that the second overtone frequency is 2000 Hz and the speed of sound is 343 m/s, the wavelength is determined to be 0.1715 m. For a pipe open at both ends, the length of the pipe is half the wavelength of the second overtone, resulting in a length of 0.08575 m.

PREREQUISITES
  • Understanding of wave properties, specifically wavelength and frequency
  • Knowledge of the speed of sound in air
  • Familiarity with the concept of overtones in acoustics
  • Basic algebra for manipulating equations
NEXT STEPS
  • Research the relationship between frequency, wavelength, and pipe length in acoustics
  • Learn about the harmonic series for pipes open at both ends
  • Explore the effects of temperature and pressure on the speed of sound
  • Study practical applications of acoustics in musical instruments
USEFUL FOR

Students studying physics, particularly in acoustics, music educators, and anyone interested in the principles of sound wave behavior in pipes.

ynehs
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Homework Statement


The second overtune for a pipe, open at both ends is 2000 Hz, the speed of the sound is 343 m/s. What is the length of the pipe?

Homework Equations


• λ = v/f

The Attempt at a Solution


λ = v/f = (340 m/s)/(2000 Hz) = 0.17 m
don't know if this is correct.
Thanks in advanced.
 
Last edited:
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ynehs said:

Homework Statement


The second overtune for a pipe, open at both ends is 2000 Hz, the speed of the sound is 343 m/s. What is the length of the pipe?


Homework Equations


• λ = v/f

The Attempt at a Solution


λ = v/f = (340 m/s)/(2000 Hz) = 0.17 m



don't know if this is correct.
Thanks in advanced.
You found the wavelength of the sound. How is that related to the length of the pipe?
 
i don't know, it was in the problem given by our teacher. anyways, nvrmind my question, ill just asked him the correct answer.
 

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