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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 λ v λ (“lambda”) is the wavelength (length of one complete wave); and so (kx) must increase by 2 π radians (one complete cycle) when x increases by λ . So k λ = 2 π , or k = 2 π / λ y (x,t) = A sin( kx – ω t ) y(x,t) = A sin (kx ± ω t – φ ) angular wavenumber k = 2 π / λ angular frequency ω = 2 π f amplitude “phase” The most general form of sine wave is y = A sin( kx ± ω t – φ ) The wave speed is v = 1 wavelength / 1 period, so v = f λ = ω /k phase constant φ 1) Transverse waves on a string: (proof from Newton’s second law) 2) Electromagnetic wave (light, radio, etc.) µ T wave length mass/unit tension F v = = c v = = o o ε µ 1 (proof from Maxwell’s 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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This note was uploaded on 12/03/2009 for the course CHEMISTRY 1E03 taught by Professor Britz during the Spring '09 term at McMaster University.
- Spring '09