What is the Resultant Displacement of Superimposed Traveling Waves?

[sydboydell31]

(a) The displacements of two traveling waves are given by:

D1(x,t) = A sin[kx +ωt +φ]

and

D2 (x,t) = A sin[kx −ωt +φ] where A=0.01m, k=5rad.m−1,ω=200rad.s−1 andφ=π3rad

(i) Use the appropriate trigonometric identity to find the displacement resulting from the superposition of these two waves.

(ii) Is the wave resulting from this superposition a traveling wave? Briefly explain your answer.

(iii) Find a value for the separation between adjacent maxima (antinodes) in the resultant wave.

thanks guys

 

[BruceW]

you've got to try it for yourself first. read through the first question, and think of what they are asking you to do.