538 Superposition and Standing WavesSection 18.5Standing Waves in Air ColumnsP18.36dAAm=0320.;λ=0640. m(a)fv==531 Hz(b)=00850m;dAAmm=42 5.P18.37(a)For the fundamental mode in a closed pipe, =4L, asin the diagram.But vf=, therefore Lvf=4So, L−343424003571mssmej.(b)For an open pipe, =2L, as in the diagram.So, Lvf=−2343224007151sm./4LNA/2AANFIG. P18.37P18.38The wavelength is=vf343131261.6 sm.so the length of the open pipe vibrating in its simplest (A-N-A) mode isdA to Am120656.A closed pipe has(N-A) for its simplest resonance,(N-A-N-A) for the second,and(N-A-N-A-N-A) for the third.Here, the pipe length is
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .