How Long is an Organ Pipe That Resonates at 128Hz?

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To find the length of an organ pipe that resonates at 128 Hz with a speed of sound at 346 m/s, the wavelength can be calculated using the wave equation. The wavelength is determined to be approximately 2.70 meters. For an open pipe, the fundamental frequency corresponds to half a wavelength fitting within the length of the pipe. Therefore, the length of the pipe is half of the wavelength, resulting in a length of about 1.35 meters. Understanding these principles is essential for solving similar problems in acoustics.
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Homework Statement


an organ pipe, open at both ends, esonantes ats its 1st resonant lenth with a frequency of 128hz. what is thelength of the pipe if the speed of sound is 346m/s


Homework Equations


the open colum patterns


The Attempt at a Solution


i just can't get it
 
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From the univeral wave equation, what is the wavelength at the given frequency and wave speed?

From the open column patterns, how many wavelengths does the length of an open pipe contain? (Hint, the answer is not 1)
 
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