Answer to Question #105300 in Electricity and Magnetism for Ali hamza

Question

A wave has an angular frequency of 110 rad/s and a wavelength of 1.80m. Calculate the
angular wave number and the speed of the wave

Answer 1

$\omega =110 \ rad/s,\; \lambda =1.80 \ m$

$k, v \ - \ ?$

Solution:

Angular wave number: $k=\frac{2\pi}{\lambda}$

$k=\frac{2\pi}{1.80}=3.49 \ m^{-1}$

Speed of the wave: $v=\frac{\omega}{k}$

$v=\frac{110}{3.49}=31.51\ m/s$

Answer: $k=3.49 \ m^{-1},\; v=31.51 \ m/s.$