- #1
ColtonCM
- 33
- 2
Homework Statement
The general wave equation can be shown as: y(x,t) = ymsin(kx-ωt)
Homework Equations
See above
The Attempt at a Solution
My question relates to the variables present in this equation. I understand what the amplitude is, its the magnitude of the maximum displacement of elements from their equilibrium position as a wave passes through them.
I understand that the y(x,t) term is the displacement of an element x-distance along the waves travel at time t.
I understand that the x inside the argument of the function describes which element is being looked at along the wave's travel.
I understand that the phase of the equation is the argument of the sine function. Where I get conceptually confused is the other terms inside the phase.
My book describes k as the angular wave number: k = 2π/λ. Can anyone here give me a more general or conceptual description of what k is as a physical property of the traveling wave?
Likewise, I know that ω is angular frequency. I know that the ω is related to period by ω = 2π/T, so similarly T = 2π/ω. So the same question above applies, what is ω as a property of the wave, what is it describing?
Thank you,
Colton