Question

1. On a long string, we have a wave
y(t, x) = 2 sin (3x + t)
(a) Find the waves amplitude, wavelength, frequency, wave number, period and
wave velocity.
(b) Which equation will solve this wave?
(c) Draw a figure (in MATLAB, script) showing snapshots of wave
by two timepoints with 1/8 period difference.
(d) Which phenomenon do we observe if we add two waves
2 sin(3x + t) + 2 sin(3x - t) ?
Draw a figure that shows a few snapshots for two optional times (in MATLAB, script).

Please show steps

Answer 1

Given wave equation is: y(x,t)=2sin(3x+t The standard wave equation is, y(x,t)-Asin(kx-o)..(2) a) Comparing both (1) and (2) , we will get Amplitude is, 2 Wave number is. -3 wave length is. |λ Angular frequency is. |a) 1 Frequency 1s. 2 2π wave velocity is. |v= --= b) The required equati on which will solve this given equati on is