lecture27 - Wave Motion II Wave Motion II • Sinusoidal...

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Unformatted text preview: Wave Motion II Wave Motion II • 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 harmonic motion: The “ angular frequency” of the particle motion is ϖ ; the initial phase is kx ( different for different x, that is, particles). Example 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 ....
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This note was uploaded on 10/14/2011 for the course ENGINEER CHEM ENG 3 taught by Professor Ghosh during the Spring '11 term at McMaster University.

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lecture27 - Wave Motion II Wave Motion II • Sinusoidal...

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