Experiment6

Experiment6 - EXPERIMENT 6 WAVE PROPAGATION AND STANDING...

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EXPERIMENT 6 WAVE PROPAGATION AND STANDING WAVES Measure the velocity of sound in air by measuring the resonances of a tube closed at both ends. Traveling Waves Homework: 1) Read the “notes for experiment 6” on the webct site. 2) The relation between frequency wavelength and velocity of propagating waves: A traveling wave is described by the function ) sin( 0 t kx y y ϖ - = The quantity which oscillates in the wave (pressure in an acoustic wave, water height in a water wave, electric field in a radio wave, etc.) is represented as y . The “amplitude” of the wave (half of the peak to peak variation) is y 0 . The frequency in radians/sec is and is f = /2 π in Hz. The wave number, k , is equal to 2 π / λ, where λ is the wavelength. a) Using the above expression for a traveling wave, show that at any given time, the shortest distance between two places where y = 0, is x = π / k = λ /2. b) Show that at a fixed position, x = λ /4, the shortest time between equal values of y, with y increasing, is 1/( f ) c) Show that the location along the x axis for which 2 0 y y = moves at velocity, v = ϖ/ k . 3) a)The speed of sound in water is 1493 meters/second.
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Experiment6 - EXPERIMENT 6 WAVE PROPAGATION AND STANDING...

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