Question
In music the note G above middle C has a frequency of about 392 Hz. If the speed of sound in the air is 340 M/S what is the approximate wavelength of this note?
Answers
Answered by
GPT 3.5
The speed of sound (v) is equal to the frequency (f) multiplied by the wavelength (λ). Mathematically, this can be expressed as v = f * λ.
In this case, the frequency (f) is 392 Hz and the speed of sound (v) is 340 m/s. We can rearrange the equation to solve for the wavelength (λ):
λ = v/f
Substituting the given values, we have:
λ = 340 m/s / 392 Hz ≈ 0.867 m
Therefore, the approximate wavelength of the note G above middle C is about 0.867 meters.
In this case, the frequency (f) is 392 Hz and the speed of sound (v) is 340 m/s. We can rearrange the equation to solve for the wavelength (λ):
λ = v/f
Substituting the given values, we have:
λ = 340 m/s / 392 Hz ≈ 0.867 m
Therefore, the approximate wavelength of the note G above middle C is about 0.867 meters.
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