Question

Two organ pipes give 4 beats when sounded together at 27c. Calculate the number of beats at 127c

Answer 1

Let's assume both pipes are sounding their fundamental harmonic. For a pipe closed at one end, the harmonic frequencies have the expression: fn = nv/

Let's assume both pipes are sounding their fundamental harmonic. For a pipe closed at one end, the harmonic frequencies have the expression: fn = nv/4L (with n = 1,3,5,...) with the fundamental frequency given when n = 1where v = the speed of sound in air and L is the length of the pipe The beat (or difference) frequency between the two frequencies f1 and f2 when the are sounded together (or heterodyned) is:

Let's assume both pipes are sounding their fundamental harmonic. For a pipe closed at one end, the harmonic frequencies have the expression: fn = nv/4L (with n = 1,3,5,...) with the fundamental frequency given when n = 1where v = the speed of sound in air and L is the length of the pipe The beat (or difference) frequency between the two frequencies f1 and f2 when the are sounded together (or heterodyned) is:

Let's assume both pipes are sounding their fundamental harmonic. For a pipe closed at one end, the harmonic frequencies have the expression: fn = nv/4L (with n = 1,3,5,...) with the fundamental frequency given when n = 1where v = the speed of sound in air and L is the length of the pipe The beat (or difference) frequency between the two frequencies f1 and f2 when the are sounded together (or heterodyned) is: fbeat = |f1 - f2|

Answer 2

Let's assume both pipes are sounding their fundamental harmonic.


For a pipe closed at one end, the harmonic frequencies have the expression:

fn = nv/



Let's assume both pipes are sounding their fundamental harmonic. For a pipe closed at one end, the harmonic frequencies have the expression:

fn = nv/4L (with n = 1,3,5,...)


with the fundamental frequency given

when n = 1


where v = the speed of sound in air


and L is the length of the pipe


The beat (or difference) frequency between the two frequencies f1 and f2 when the are sounded together (or heterodyned) is:



Let's assume both pipes are sounding their fundamental harmonic.

For a pipe closed at one end, the harmonic frequencies have the expression: fn = nv/4L (with n = 1,3,5,...) with the fundamental frequency given when n = 1where v = the speed of sound in air and L is the length of the pipe The beat (or difference) frequency between the two frequencies f1 and f2 when the are sounded together (or heterodyned) is:



Let's assume both pipes are sounding their fundamental harmonic. For a pipe closed at one end, the harmonic frequencies have the expression: fn = nv/4L (with n = 1,3,5,...) with the fundamental frequency given when n = 1where v = the speed of sound in air and L is the length of the pipe The beat (or difference) frequency between the two frequencies f1 and f2 when the are sounded together (or heterodyned) is:
fbeat = |f1 - f2|