What type of wave is described by this equation

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SUMMARY

The wave described by the equation x = (0.15 mm) cos (210x - 120t) is identified as a longitudinal wave. The reasoning is based on the variable representation; the presence of "x" indicates a longitudinal wave, while a transverse wave would typically use "y" for displacement. The equation does not conform to standard wave equations, leading to confusion regarding its classification. The discussion highlights the importance of understanding wave properties and their mathematical representations.

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Homework Statement


x = (0.15 mm) cos (210x-120t)
what type of wave is described by this equation?

Longitudinal, transverse, angular frequency or both transverse and longitudinal

Homework Equations


NA

The Attempt at a Solution


there's really no calculation. I thinking its longitudinal because it is given as "x=". if it were transverse I am thinking it would be given as "y="
At the same time I am not even sure if I am right
 
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Some BS equation you got there.
 
Taking the equation literally, with x on both sides, I don't recognise it as any of the usual wave equations. E.g. For a longitudinal wave, the x on the right would be the mean position of an oscillating segment, while the x on its left would be its displacement at time t; i.e. they should be two different variables.
 

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