Converting a Longitudinal Wave Displacement-Time Graph into a Distance Graph

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To convert a longitudinal wave displacement-time graph into a displacement-distance graph, the wave equation y(x,t) = Asin(2π/λ x - ωt) is used. By keeping time (t) constant, y can be plotted as a function of distance (x). This allows for a clear representation of wave displacement over distance. The process simplifies the analysis of wave behavior in a spatial context. Understanding this transformation is essential for studying wave properties effectively.
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how to turn a 'longitudinal wave ' displacement-time graph into a displacement-distance graph
 
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yipkawa said:
how to turn a 'longitudinal wave ' displacement-time graph into a displacement-distance graph
The solution for a traveling wave is:

y(x,t) = Asin(\frac{2\pi}{\lambda}x - \omega t)

To turn it into a displacement distance graph, just plot y as a function of x, keeping t constant.

AM
 

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