Are the Frequencies of a Plucked String and the Corresponding Sound Wave Equal?

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In summary, when a string is plucked, a wave is created that travels through the string and produces a sound. The frequency of the sound is determined by the frequency of the string's oscillation, but the speed of the wave in the string is not equal to the speed of the sound wave in the air. This is due to the different mediums and their corresponding speeds. However, the frequencies of the two waves will be the same, while their wavelengths will differ, accounting for the difference in speeds of sound.
  • #1
SweatingBear
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If I pluck a string, a wave begins to propagate throughout the string. From experience we know that this produces a sound and this is due to the fact that the oscillation of the wave in the string causes air molecules in its vicinity to oscillate similarly. The speed of the wave in the string versus the speed of the generated sound wave in air are definitely not equal (two different mediums and therefore different speeds) but I wonder whether the frequencies are equal?

I.e. is the frequency with which the string swings back and forth the same as the frequency of the sound that the sound wave in air that is heard?
 
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  • #2
the frequencies will be the same, the wavelength on the string will not be the same as the wavelength in the air...this accounts for the different speeds
 

1. What is the difference between frequency in string and frequency in air?

The difference between frequency in string and frequency in air is that frequency in string refers to the frequency at which a specific string vibrates when plucked or struck, while frequency in air refers to the frequency at which sound waves travel through the air.

2. Why is frequency in string important in music?

Frequency in string is important in music because it determines the pitch of a note. The higher the frequency, the higher the pitch, and vice versa.

3. How does the frequency in string affect the sound of a musical instrument?

The frequency in string directly affects the sound of a musical instrument as it determines the pitch and tone of the notes produced. The higher the frequency, the higher the pitch and the brighter the tone, while a lower frequency results in a lower pitch and a deeper tone.

4. Can the frequency in string be changed?

Yes, the frequency in string can be changed by altering the length, tension, or mass of the string. This is commonly done by adjusting the tuning pegs on stringed instruments or by using different strings with varying thicknesses.

5. How does the frequency in air affect the perceived loudness of a sound?

The frequency in air does not directly affect the perceived loudness of a sound. However, the human ear is more sensitive to certain frequencies, so a sound with a higher frequency may be perceived as louder even if it has the same amplitude as a sound with a lower frequency.

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