A stringed musical instrument produces sound through the vibrations of strings fixed at both ends. If the velocity at which waves propagate through each string is known, what information is needed in order to determine the fundamental frequency of each string?A.String bulk modulusB.String lengthC.String densityD.String cross-sectional area
Question
A stringed musical instrument produces sound through the vibrations of strings fixed at both ends. If the velocity at which waves propagate through each string is known, what information is needed in order to determine the fundamental frequency of each string?A.String bulk modulusB.String lengthC.String densityD.String cross-sectional area
Solution
To determine the fundamental frequency of each string, you need to know the length of the string (B. String length). The fundamental frequency (also known as the first harmonic) is the lowest frequency of a waveform. In a stringed instrument, this is produced by the vibration that occurs when the string is plucked or struck. The speed of the wave through the string and the length of the string are the two factors that determine this frequency. The bulk modulus, density, and cross-sectional area of the string do not directly affect the fundamental frequency.
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