hwk09 - Chapter 12 Solution QTD6 The air column of a...

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Chapter 12 Solution QTD6. The air column of a clarinet is essentially a closed cylinder (odd harmonics of v/4L), that of a flute an open cylinder (all harmonics of v/2L), so the acoustical resonances are much different. Also, the qualities of an air-reed are much different than a clarinet reed emphasizing different harmonics. EX1. (a) The lowest resonance frequency of a closed pipe is Hz m s m L v f 128 67 . 0 4 / 434 4 = = = (b) The frequency of D 3 is 146.83Hz (P183). ( 29 % 15 15 . 0 128 128 8 . 146 = = - = Hz Hz f f Hence, the frequency of D 3 is 15% greater. (c) Flare of bell shortens the effective pipe length. EX5 (a) The lowest resonance frequency of an open pipe is Hz m s m L v f 83 . 285 60 . 0 2 / 434 2 = = = (b) The frequency of F 4 is 349.23Hz (P183). ( 29 % 14 14 . 0 408 408 23 . 349 = = - = Hz Hz f f Hence, the frequency of F 4 is 14% lower.
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Chapter 13 Solution RQ1. The frequencies of a bar are proportional to 1/L
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hwk09 - Chapter 12 Solution QTD6 The air column of a...

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