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# lecture29 - Standing sound waves Standing sound waves S...

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Standing sound waves

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Standing sound waves Sound in fluids is a wave composed of longitudinal vibrations of molecules. Thespeed of sound in a gas depends on thetemperature. For air at room temperature, the speed of sound is about 340 m/s. At a solid boundary, thevibration amplitudemust be zero (a standing wave node ). node node node antinode antinode Physical pictureof particle motions (sound wave in a closed tube) graphical picture
Standing sound waves in tubes – Boundary Conditions -there is a node at a closed end -less obviously, there is an antinode at an open end (this is only approximately true) node antinode antinode graphical picture

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Exercise: Sketch the first three standing-wavepatterns for a pipe of length L, and find the wavelengths and frequencies if: a) both ends are closed b) both ends are open c) one end open
L a) Pipe with both ends closed

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L b) Pipe with both ends open
L 1 4 1 λ = L 3 4 3 λ = L 5 4 5 λ = L c) Pipe with one closed end, one open end

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Beats Chap 18
1 1 1 1 2 2 2 2 1 2 sin( ) sin( ) y A k x t

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lecture29 - Standing sound waves Standing sound waves S...

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