Question

A sound wave of frequency 300Hz travels with speed 340ms–¹along the negative x-direction. Each point of the medium moves up and down through a total distance of 5.0mm. Determine the necessary parameters to represent the wave mathematically.

Answer 1

$\lambda=\frac v\nu=1.13~m,$

$k=\frac{2\pi}{\lambda}=5.54~m^{-1},$

$\omega=2\pi\nu=1885~\frac{rad}s,$

$y(x,t)=A\sin(kx-\omega t),$

$y(x,t)=0.0025\sin(5.54x-1885t).$