Longest Wavelengths in 128 cm Tube: Open at Both/One End

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SUMMARY

The discussion focuses on calculating the three longest wavelengths for standing sound waves in a 128 cm tube, specifically analyzing two configurations: open at both ends and open at one end while closed at the other. For a tube open at both ends, the fundamental wavelength is 256 cm, while for a tube open at one end and closed at the other, the fundamental wavelength is 512 cm. The relationship between wavelength, velocity, and frequency is established using the equation W=V/F, where W represents wavelength, V is velocity, and F is frequency.

PREREQUISITES
  • Understanding of standing sound waves
  • Knowledge of wave properties in open and closed tubes
  • Familiarity with the equation W=V/F
  • Basic concepts of fundamental frequency and harmonics
NEXT STEPS
  • Research the harmonic series for open and closed tubes
  • Learn about the speed of sound in different mediums
  • Explore practical applications of standing waves in musical instruments
  • Study the effects of tube length on wavelength and frequency
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Students studying physics, acoustics enthusiasts, and educators teaching sound wave properties and resonance in tubes.

spokorne
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Homework Statement



What are the three longest wavelengths for standing sound waves in a 128-cm-long tube that is (a) open at both ends and (b) open at one end, closed at the other?

Homework Equations


W=V/F


The Attempt at a Solution



128 cm because nothing bigger could fit in the tube
 
Physics news on Phys.org
In the fundamental mode of vibration, the wavelength in open pipe is λ/2 and in closed pipe λ/4.
 

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