Fundamental frequency and temperature

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SUMMARY

The discussion centers on the relationship between temperature and the fundamental frequency of organ pipes, specifically in the context of Balboa Park's outdoor organ. As air temperature increases, the speed of sound also increases, leading to a rise in the fundamental frequency of the organ pipes. The formula v = 331√(1+t/273) illustrates how sound velocity is affected by temperature. The length of the organ pipes changes minimally with temperature, but the increase in sound speed results in a higher frequency.

PREREQUISITES
  • Understanding of sound wave properties, including frequency, wavelength, and speed.
  • Familiarity with the physics of sound propagation in different media.
  • Knowledge of the relationship between temperature and sound speed.
  • Basic grasp of wave equations, particularly v = λf.
NEXT STEPS
  • Research the impact of temperature on sound speed in various gases.
  • Study the principles of standing waves in open and closed pipes.
  • Learn about the effects of environmental factors on musical instrument tuning.
  • Explore the mathematical derivation of wave equations related to sound frequency.
USEFUL FOR

Musicians, acoustics engineers, physics students, and anyone interested in the effects of temperature on sound properties and musical instruments.

tanzerino
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1. Balboa Park in San Diego has an outdoor organ. When the air temperature increases, the fundamental frequency of one of the organ pipes _____.

a) goes down
b) stays the same
c) goes up
d) is impossible to determine




2. v=331sqrt(1+t/273)/



3. goes up?)
 
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How are the frequency, wavelength and speed of the sound wave related?

ehild
 
v=lamda x f.
however we know that in same medium velocity of propagation is constant but i don't know if that means less dense air due to heat means same medium.also we know that for any source of oscillation frequency is constant but there is not sound source here it is air blowing.If temperature goes up velcoity goes up if lamda is constant then frequency goes up but I am not sure.Any help in this mess.?
 
What is the "cause" of the sound wave having a frequency?
how much (%) do the organ pipes length change, if 10 degrees warmer?
 
The sound source is the organ pipe. The wavelength of the sound is determined by the length of the pipe. When it is blown, standing waves form in it, and the wavelength of the fundamental frequency is twice the pipe length of an open pipe and 4 times the length of a closed one. This length changes so little with increasing temperature, that you think the wavelength does not change as the temperature rises. The speed of sound does change, you have the formula for v: it rises. v and f are proportional: you are right, f goes up with the rising temperature.

ehild
 
Thanks for your help.:) i got it now"how v is proportional to f " through f=nv/2l.
Thanks for everyone.
 

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