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Unformatted text preview: Wave Motion (II) Wave Motion (II) Text sections 16.2 16.5 Sinusoidal waves Energy and power in sinusoidal waves Practice: Chapter 16, problems 15, 17, 31, 37 Sine wave: A-A y x v (lambda) is the wavelength (length of one complete wave); and so (kx) must increase by 2 radians (one complete cycle) when x increases by . So k = 2 , or k = 2 / y (x,t) = A sin( kx t ) y(x,t) = A sin (kx t ) angular wavenumber k = 2 / angular frequency = 2 f amplitude phase The most general form of sine wave is y = A sin( kx t ) The wave speed is v = 1 wavelength / 1 period, so v = f = /k phase constant 1) Transverse waves on a string: (proof from Newtons second law) 2) Electromagnetic wave (light, radio, etc.) T wave length mass/unit tension F v = = c v = = o o 1 (proof from Maxwells Equations for E-M fields) The wave velocity is determined by the properties of the medium; for example, Wave Velocity Wave Velocity Exercise...
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- Spring '09