Answer to Question #165094 in Astronomy | Astrophysics for Rasgel

Question #165094

The equation y = Asin (wt + kx) represents a progressive wave.

(a) What do the quantities A, w and k represent?

(b) In which direction is the wave moving? (Explain how you arrived at your conclusions) 


1
Expert's answer
2021-02-19T18:58:25-0500

(a) "A" represents the amplitude of the wave, "\\omega" represents the angular frequency of the wave and "k" represents the wave number of the wave.

(b) The general equation of the progressive wave can be written as follows:


"y=Asin(\\omega t \\mp kx),"

here, sign minus corresponds to the wave traveling in +"x"-direction and sign plus correspond to the wave traveling in -"x"-direction.

Therefore, in our case the wave moves in -"x"-direction.


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