Question

A sinusoidal, transverse wave that propagates in the positive x-direction can be described with the wave function y of xt is equal to A times cosine of start parenthesis k times x minus omega times t end parenthesis, where k is the wave number, x is the position of a point on the wave, omega is the angular frequency, and t is time. What is another way to express the angular frequency, omega

Answer 1

`\omega =(2 \pi )/(T)` rad/s

Step-by-step explanation:

The wave function is:

`y(xt) = Acos(kx- \omega t)`

where :

k = wave number

x = position of a point on the wave

`\omega` = angular frequency

t = time

What is another way to express the angular frequency (omega)

Angular frequency (omega) can be express as :

`\omega =(2 \pi )/(T)` rad/s ( i.e one repetition that it takes to repeats itself)