Two identical guitar strings are prepared such that they have that same length (

Question

Two identical guitar strings are prepared such that they have that same length (2.56m) and are under the same amount of tension. The first string is plucked at one  location,  primarily exciting the 1st harmonic. The other string is plucked in a different location, primarily exciting the 4th harmonic.  The resulting sounds give rise to a beat frequency of 333Hz

What is the wave propagation speed on the guitar string

Two identical guitar strings are prepared such that they have the same length (2.56 m) and are under the same amount of tension. The first string is plucked at one location, primarily exciting the 1st harmonic. The other string is plucked in a different location, primarily exciting the 4th harmonic. The resulting sounds give rise to a beat frequency of 333 Hz. What is the wave propagation speed on the guitar strings?

Explanation / Answer

let f is the funda mental frequency.

4f- f = 333 hz

3f = 333

==>f = 111 hz


we know, f = v/(2*L)

==> v = f*2*L = 111*2*2.56 = 568.32 m/s

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