lecture30

# lecture30 - Sinusoidal waves(velocity cos t kx A t x y t y...

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Unformatted text preview: Sinusoidal waves (velocity) ) cos( ) , ( t kx A t x y t y T x y Î» T / 2 k T v / / v ) cos( ) , ( t kx A t x y v k t x v const t kx const t x y x , t kx A t y v y sin / 2 k t kx A t y a t kx A t y v y y cos sin 2 2 2 Wave equation ) cos( ) , ( t kx A t x y t kx Ak x y t kx Ak x y cos sin 2 2 2 2 2 2 2 2 2 x y k t y , , 2 2 2 2 2 x t x y v dt t x y d k v ) , ( ) , ( vt x y t x y Example: Gaussian pulse 2 2 / ) ( exp ) , ( s vt x A t x y x t x y v t t x y , , Velocity and Acceleration in a Sinusoidal Traveling Wave 5 10 15 20 x (m) Wave Moving Towards Right y(x) (m) v y (m/s) y(x) (m) t = 0 s a y (m/s 2 ) v y a y A A A A 2 A 2 A A A y ( x , t ) A cos( kx...
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## This note was uploaded on 10/21/2010 for the course PHYS 221 taught by Professor Herrera-siklody during the Fall '08 term at Iowa State.

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lecture30 - Sinusoidal waves(velocity cos t kx A t x y t y...

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