Suppose a flutist plays a 523-Hz C note with first harmonic displacement amplitude A1 = 100 nm. From as shown 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 B1 = B2 = ... = B7 = 0. Construct a graph of the waveform of the sound. Your waveform will not look exactly like the flute waveform as shown because you simplify by ignoring cosine terms; nevertheless, it produces the same sensation to human hearing. Flute Flute1 2 3 4 5 6 7 8 9HarmonicsbRelative intensity

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Suppose a flutist plays a 523-Hz C note with first harmonic displacement amplitude A₁ = 100 nm. From as shown 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 B₁ = B₂ = ... = B₇ = 0. Construct a graph of the waveform of the sound. Your waveform will not look exactly like the flute waveform as shown because you simplify by ignoring cosine terms; nevertheless, it produces the same sensation to human hearing.

Flute
1 2 3 4 5 6 7 8 9
Harmonics
b
Relative intensity

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