Question

A wave has a length of 2m and a frequency of 10Hz. Calculate the wave number . Calculate the angular frequency. Calculate wave speed

Answer 1

Gives

n=10Hz

$w=\frac{2\pi}{T}$

$T=\frac{1}{n}=\frac{1}{10}$

T=0.1Hz

$w=\frac{2\pi}{T}=\frac{2\pi}{0.1}=20π rad/sec$

Wave number

$k=\frac{2\pi}{\lambda}$

$k=\frac{2\pi}{2}=π$ $m^{-1}$

Speed wave

$v=\frac{w}{k}=\frac{20π}{π}=20m/sec$