# Problem: Differentiate between wave velocity and particle velocity. Compare their directions for longitudinal as well as transverse waves.

###### FREE Expert Solution

Wave velocity:

Is the velocity of the wave as it travels in space.

On the other hand, particle velocity is expressed as:

$\overline{){{\mathbf{v}}}_{{\mathbf{y}}}{\mathbf{=}}{\mathbf{A}}{\mathbf{\omega }}{\mathbf{c}}{\mathbf{o}}{\mathbf{s}}{\mathbf{\left(}}{\mathbf{k}}{\mathbf{x}}{\mathbf{±}}{\mathbf{\omega }}{\mathbf{t}}{\mathbf{\right)}}}$

and is the velocity of the particle as it vibrates about its equilibrium position.

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###### Problem Details

Differentiate between wave velocity and particle velocity. Compare their directions for longitudinal as well as transverse waves.