lecture27 - Wave Motion I I Wave Motion I I •...

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Unformatted text preview: Wave Motion I I Wave Motion I I • Sinusoidal (harmonic) waves • Energy and power in sinusoidal waves For a wave traveling in the +x direction, the displacement y is given by y (x,t) = A sin ( kx – ϖ t ) with ϖ = kv A-A y x Remember: the particles in the medium move vertically. y = A sin ( kx – ϖ t ) = A sin [ constant – ϖ t ] ω = 2π f ω =“angular frequency” radians/ sec f =“frequency” cycles/ sec (Hz=hertz) The transverse displacement of a particle at a fixed location x in the medium is a sinusoidal function of time – i.e., simple har monic motion: The “ angular frequency” of the particle motion is ϖ ; the initial phase is kx ( differ ent for different x, that is, particles). Exampl e A-A y x Shown is a picture of a travelling wave, y=A sin (kx-ϖ t), at the instant for time t=0 . a b c d e i) Which particle moves according to y=A cos ( ϖ t) ? ii) Which particle moves according to y=A sin ( ϖ t) ?...
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This note was uploaded on 05/02/2010 for the course PHYSICS 1E03 taught by Professor Jopko during the Spring '08 term at McMaster University.

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lecture27 - Wave Motion I I Wave Motion I I •...

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