Longitudinal_Standing_Waves.pptx - 17.6 Longitudinal Standing Waves Longitudinal Standing Waves Sound waves such as those originating from a tuning fork

# Longitudinal_Standing_Waves.pptx - 17.6 Longitudinal...

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17.6: Longitudinal Standing Waves

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Longitudinal Standing Waves Sound waves, such as those originating from a tuning fork, travel down the tube and reflect back from the ends, combining to form a standing wave pattern. The sound of the tuning fork will then seem louder. The vibration of the air particles is greatest at the displacement anti nodes and there is no air displacement at the nodes.
Open Tubes If the tube is open at both ends, it will have anti nodes at both open ends where the air molecules are free to move The longest wavelength that can resonate is twice the length of the pipe Since the distance between two adjacent anti nodes is λ/2, the length of the tube must be an integer number of half wavelengths . Where n is an integer n=1 n=2 n=3 n=4 n=5

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Open Tubes Manipulating that gives us Using the equation for the wavelength in relation to the formula for frequency, which is we get: .
Closed tube There will be a node at the closed

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