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Regarding Quarter Wave Resonators, I know that the tube...

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Question by wml
Submitted on 4/13/2004
Related FAQ: Acoustics FAQ
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Regarding Quarter Wave Resonators,

I know that the tube length is one quarter the wavelength of the lowest resonant frequency  (17 cm tube has R1 wavelength of 68 cm.) or inversely the wavelength is 4 times the length of the tube but I have a text that states that the "FREQUENCY is a quarter the length of the tube". Is this a correct statement, if so the 500 Hz R1 frequency is one quarter of a 17 cm tube.  Why doesn't this make sense to me, can you relate frequency and length without converting to wavelength???

Answer by Rob
Submitted on 1/2/2006
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frequency = speed of sound (~343m/s) / (4 * Length (m))

Answer will be in 1/s or Hz.

If you really want to get anal, the speed of sound can be calculated.  In air, it is the square root of (401.8*Temp)  Where the Temp is 273.15 + the room temperature in Celsius).  The answer will be in meters per second.


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