Calculating Length of Pipe Open at Both Ends

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To calculate the length of a pipe open at both ends producing a 440 Hz signal at 20 degrees Celsius, the velocity of sound is approximately 332 m/s. Using the equation v = f * wavelength, the wavelength for the first harmonic can be determined by rearranging the formula. The first harmonic in an open pipe has a wavelength equal to twice the length of the pipe. Therefore, the length of the pipe can be calculated as half the wavelength derived from the frequency and speed of sound. The solution requires applying these concepts to find the correct length of the pipe.
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Homework Statement



A pipe organ playing in a concert produces a 440 Hz signal with a pipe open at both ends.if the ideal temperature is 20degrees, what is the length of the pipe(first harmonic)

Homework Equations


f=N/T
f=1/T
v=f*wavelength
sound equation

The Attempt at a Solution



332ms*0.59*20
=332ms+0.118ms
=332.118ms
i don't know where to go from there
 
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You know the velocity of sound at 20 degrees C (at least I hope you have the right equation) and you know the frequency. Its simply a matter of rearranging this v=f*wavelength for wavelength.

Also remember that the first harmonic in an open pipe has a wavelength of twice the pipes length.
 
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