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Do Now. In an open tube resonator, there is a pressure ________ at both ends. In a close tube resonator, there is a pressure _________ at the closed end and a pressure ________ at the open end . node. a nti-node. node. ***Note that this is the opposite of standing wave formations
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Do Now • In an open tube resonator, there is a pressure ________ at both ends. • In a close tube resonator, there is a pressure _________ at the closed end and a pressure ________ at the open end. node anti-node node ***Note that this is the opposite of standing wave formations which represent air displacement.
DO NOW • The diagram above depicts the standing wave pattern of the fundamental frequency or __________ harmonic of a _________ tube resonator. • The wavelength is equal to _________ times the length of the tube. L first closed four
Drawing Standing waves • The basis for drawing the standing wave patterns for air columns is that vibrational anti-nodes will be present at any open end and vibrational nodes will be present at any closed end. For a tube closed at one end… = nodes = anti-nodes In general, for the nthharmonic of a closed tube… Where n = 1,3,5…(odd)
Drawing Standing waves • The basis for drawing the standing wave patterns for air columns is that vibrational anti-nodes will be present at any open end and vibrational nodes will be present at any closed end. For a tube open at both ends… = nodes = anti-nodes In general, for an nth harmonic of an open tube… Where n = 1,2,3,4… (all integers)
