Sound Of Music: 2nd, 3rd, 4th Harmonics of 370 Hz Pitch

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A flute producing a 370 Hz pitch generates harmonics at specific frequencies. The second harmonic is calculated to be 740 Hz, the third harmonic is 1110 Hz, and the fourth harmonic is 1480 Hz. These frequencies are derived using the formula f = nv/2L, where n represents the harmonic number. The calculations confirm the harmonic frequencies based on the flute's properties. The results appear accurate according to the provided formulas.
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1. A flute acts like an open pipe and sounds a note with a 370 - Hz pitch. What are the frequencies of the second, third, and fourth harmonics of this pitch?



2. f = nv/2L (n = 1, 2, 3, 4)



3. f = nv/2L
370 = 343/2L
740 L = 343
L = 0.463513513

f = 2(343)/ 2(0.463513513)
= 740 Hz

f = 3(343)/ 2(0.463513513)
= 1110 Hz

f = 4(343)/ 2(0.463513513)
= 1480 Hz

740 Hz, 1110 Hz, 1480 Hz ---- I'm not sure if this is right.
 
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Seems right to me.
 
Ok Thank You! :)
 
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