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WavesEssentials

# WavesEssentials - Waves:theEssentials Preliminaries...

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Waves: the Essentials 3/29/07 Preliminaries: Be familiar with the jargon: longitudinal, transverse, traveling waves, standing waves, nodes and antinodes. Know that experimentally a traveling wave on a string or spring keeps its shape to a good approximation. Be able to derive the dependence of wave velocity on tension T , or bulk modulus B , density m or r using dimensional arguments. Waves on a String: Thoroughly understand the figure: . Be able to draw it and use it to derive the wave equation 2 2 2 2 . y y T x t m = The Principle of Superposition holds for solutions to the wave equation. Harmonic Waves: Be familiar with the standard notation for harmonic waves: ( ) ( ) sin , , 2 , / 2 Hz. f x vt A kx t vk k f w w l p w p - = - = = = Be able to derive the expressions for both kinetic energy and potential energy per unit length in a harmonic wave on a string, and add them to find the power, the rate at which energy is moving down the string.

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WavesEssentials - Waves:theEssentials Preliminaries...

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