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dbsupplement

dbsupplement - Ph 111.01 Fall 2008 Supplement on Amplitude...

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Ph 111.01 Fall 2008 Supplement on Amplitude, Intensity and Decibels The discussion of sound intensity in the textbook does not cover the relationship between the amplitude of the wave and the intensity. For the problems we will work, we only need some very basic information. Suppose that a wave is described by ( ) 2 2 , cos y x t A x t T π π λ = Here you can think of y as representing the displacement due to a wave on a string, or water waves in the ocean, or pressure waves traveling in air. In all these cases there will be a similar wave function for the velocity of whatever is displaced, ( ) 2 2 2 , sin v x t A x t T T π π π λ = − (This is not the speed of the traveling waveform, but the oscillating back and forth of the string, air molecules, etc.) The main thing about these two functions is that they are both proportional to the amplitude A . This means that potential energy, which is generally proportional to y 2

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dbsupplement - Ph 111.01 Fall 2008 Supplement on Amplitude...

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