Hmm, but the second of the two sine functions, though it involves t, but it also involves v as Ï=kv. Means there is a term of wave velocity in the equation of a standing wave. Doesn't that signify the standing wave moves? It does not, obviously, but then what does the v here stand for? What does the v here represent in the equation of a standing wave? If a quantity is related to some velocity it does not mean that the quantity moves. Speed is defined only for travelling waves: Think of the water waves, you see the peaks - wave-fronts moving along. The standing wave does not travel. The nodes are always at the same positions. Ï and k are two parameters, and y, the displacement from equilibrium, depends on both. v is a constant, the speed of any wave of certain kind in the given medium determined by some physical properties of the matter. The wave is a motion, periodic both in space and time.
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