# 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.

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Types of Waves concept. If you need more Types of Waves practice, you can also practice Types of Waves practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Tsai's class at UCSD.