The second harmonic of a guitar string has a frequency of 120 hz. what is the length of the guitar string if the speed of the waves on the string is 110 m/s?

Question

Jovanny Kelley

Physics

22 May, 16:45

The second harmonic of a guitar string has a frequency of 120 hz. what is the length of the guitar string if the speed of the waves on the string is 110 m/s?

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Tianna Bradley · Answer 1

Frequency, for sound and light waves, is the number of waves that passes per unit of time or the number of complete cycle per unit time. It has units of second^-1 which is equal to 1 Hertz. To determine the length of the guitar string, we simply divide the frequency to the speed of the waves. Speed has units of meter per second. So, dividing frequency would cancel the second unit leaving meters which is a unit of length. We calculate as follows:

Length of string = speed of wave / (frequency)

Length of string = 110 m/s / (120 / s)

Length of string = 0.92 m or 92 cm