The simplest wave is the spatially one-dimensional sine wave or harmonic wave or sinusoid with an amplitude u described by the equation. It arises in fields like acoustics electromagnetics and fluid dynamics. V f l.
It states the mathematical relationship between the speed v of a wave and its wavelength l and frequency f.
1 v 2 2 y t 2 2 y x 2. Rearranging the equation yields a new equation of the form. So the 2p in the cosine or sine function of a wave equation is a proportionality constant to turn a distance in meters for example into angle that can be input to the trig function so the trig function will output a height distance. Using the symbols v l and f the equation can be rewritten as.