Question

A sound wave of frequency 300 Hz travels with speed 340ms-1 along

the negative x-direction. Each point of the medium moves up and down through a

total distance of 5.0 mm. Determine the necessary parameters to represent the

wave mathematically.

Answer 1

To represent the wave mathematically, we need the angular frequency and amplitude:

$\omega=2\pi f=600\pi\text{ rad/s},\\ A=0.005\text{ m},\\ x(t)=-A\sin(\omega t)=-0.005\sin(600\pi t)\text{ m}.$