P140w07_ct_25 - Physics 140 Winter 2007 Lecture#25 Dave Winn Racquetball Striking a Wall Copyright Loren M Winters Mt Etna Andrew Davidhazy Waves

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Unformatted text preview: Physics 140: Winter 2007 Lecture #25 April 12, 2007 Dave Winn Racquetball Striking a Wall Copyright: Loren M. Winters Mt. Etna Andrew Davidhazy Waves: traveling disturbances • Wave speed: balance of restoring force and inertia – v string = √ ( T / μ ) – v sound = √ ( B / ρ ) • Speed relates frequency and wavelength v = λ f • Typical sinusoidal wave M/L ( ) k f v f 2 2 sin ) , ( ω λ π ω λ π ω = = = = − = k t kx A t x y When waves collide: superposition • When two waves arrive at the same place at the same time, if they are not too large an amplitude, they add together linearly • This superposition creates interesting effects called “interference” • This is a defining feature of waves • We will look at several examples ( ) ( ) ( ) t x y t x y t x y total , , , 2 1 + = Interference from two sources • Pattern of large amplitude and small amplitude locations as the waves spread out Interference in 2D In some places, peaks (and valleys) from one source arrive with peaks from the other (constructive interference). In others peaks from one arrive with valleys from the other (destructive interference). Distance between peaks is about one wavelength… Is sound a wave? • The speakers are two coherent sources of sound. They produce interference in the room… Given that the speed of sound in air is 340m/s, and what you know about the interference pattern produced by two sources. What is the frequency of this sound….two sources....
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This note was uploaded on 04/04/2008 for the course PHYSICS 140 taught by Professor Evrard during the Fall '07 term at University of Michigan.

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P140w07_ct_25 - Physics 140 Winter 2007 Lecture#25 Dave Winn Racquetball Striking a Wall Copyright Loren M Winters Mt Etna Andrew Davidhazy Waves

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