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Suppose that a flutist plays a 523-Hz C note with first harmonic displacement amplitude A1 = 100 nm. From Figure 18.24b read, by proportion, the displacement amplitudes of harmonics 2 through 7. Take these as the values A2 through A7 in the Fourier analysis of the sound, and assume that B1 = B2 = . . . = B7 = 0. Construct a graph of the waveform of the sound. Your waveform will not look exactly like the flute waveform in Figure 18.23b because you simplify by ignoring cosine terms; nevertheless, it produces the same sensation to human hearing. |
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