Answer:
The velocity of sound in the guitar string = 129.99 m/s
Step-by-step explanation:
Harmonics: A harmonic is a note with frequency equal to an integral multiple of that of the fundamental frequency.
Note: The harmonics of a string is the same as the harmonics of an open pipe.
f₆ = 3v/l ............................ Equation 1
making v the subject of the equation,
v = f₆l/3 ......................... Equation 2
Where f₆ = Is the sixth harmonics of the the string, v = velocity of sound in the guitar string, l = length of the guitar string.
Given: f₆ = 557.14 Hz, l = 70 cm = 0.7 m.
Substituting into equation 2
v = (557.14×0.7)/3
v = 129.99 m/s
Thus the velocity of sound in the guitar string = 129.99 m/s