hwk03 - Chapter 4 Solution RQ4 The"natural or normal modes...

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Chapter 4 Solution RQ4. The “natural” or normal modes of a system have frequencies including a fundamental (lowest) frequency and higher frequencies called overtones . The first overtone is the next frequency above the fundamental, etc. These are also called “ partials ” with the first partial being the fundamental, the second partial being the first overtone, etc. Finally, if the overtones (or partials) are simple integer multiples of the fundamental, then the partials are called harmonics with the first harmonic being the fundamental. More explicitly, we can write 1 f n f n = where n is the harmonic number. Vibrating strings and air columns have natural frequencies that are harmonic; vibrating drumheads and bars do not. RQ8. The frequency of a Helmholtz resonator is: Vl a v f π 2 = where a is the area of the neck, l is its length, V is the volume of the resonator, and v is the speed of sound. Hence, we can make the sound hole smaller to lower the Helmholtz resonances. RQ11.

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hwk03 - Chapter 4 Solution RQ4 The"natural or normal modes...

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