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Ierofanga [76]
3 years ago
8

The sixth harmonic of a 70 cm long guitar string has a frequency of 557.14 Hz. What is the velocity of sound in the guitar strin

g?
Physics
1 answer:
Crazy boy [7]3 years ago
7 0

Answer:

<em>The velocity of sound in the guitar string = 129.99 m/s</em>

Explanation:

Harmonics: A harmonic is a note with frequency equal to an integral multiple of that of the fundamental frequency.

<em>Note:</em> 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.

<em>Given: </em>f₆ = 557.14 Hz, l = 70 cm = 0.7 m.

Substituting into equation 2

v = (557.14×0.7)/3

<em>v = 129.99 m/s</em>

<em>Thus the velocity of sound in the guitar string = 129.99 m/s</em>

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