Question

Two waves are described by
$y_1=0.30\sin \left[\pi \right(5x-200t\left)\right]$
and $y_2=0.30\sin \left[\pi \right(5x-200t)+\pi /3]$
where $y_1,y_2,$ and $x$ are in meters and $t$ is in seconds. When these two waves are combined, a traveling wave is produced. What are the wavelength of that traveling wave?

Answer 1

we know equation of standing wave:

$y^{\prime }=\left(0.60\cos \frac{\pi }{6}\right)\sin (5\pi x-200\pi t+\frac{\pi }{6})$

with length in meters and time in seconds (see Eq. 16-55 for comparison).

$k=2\pi /\lambda$ leads to $\lambda =0.40m$