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Lecture_30_PPT

Lecture_30_PPT - Chapter 18 Superposition and Standing...

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Chapter 18 Superposition and Standing Waves

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Standing Waves in a String 0, 1, 2, 3, 2 n xn λ == K L ƒ 22 n vn T n LL µ
Standing Waves in an Air Column z Standing waves can be set up in air columns as the result of interference between longitudinal sound waves traveling in opposite directions

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Standing Waves in an Air Column z The phase relationship between the incident and reflected waves depends upon whether the end of the pipe is opened or closed z Waves under boundary conditions model can be applied
Standing Waves in an Air Column, Open Ends z As the compression region of the wave exits the open end of the pipe, the constraint of the pipe is removed and the compressed air is free to expand into the atmosphere z The open end of a pipe is a displacement antinode in the standing wave s (x, t) = s max cos (kx – ω t) L s (0, t) = s( L ,t) = s max java

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Standing Waves in an Open Tube z Both ends are displacement antinodes z The fundamental frequency is v /2 L
Standing Waves in an Air Column, Closed Ends z The rigid barrier at this end will not allow longitudinal motion in the air z A closed end of a pipe is a displacement node in the standing wave s (x, t) = s max cos (kx – ω t) L s (0, t) = s( L ,t) = 0

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Standing Waves in a Closed Tube z Both ends are displacement nodes z The fundamental frequency is v /2 L
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Lecture_30_PPT - Chapter 18 Superposition and Standing...

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