The Mathematical Description of a Wave Video Lessons

Concept

# Problem: Use the wave equation to find the speed of a wave given by:

###### FREE Expert Solution

General wave solution:

$\overline{){\mathbf{y}}{\mathbf{\left(}}{\mathbf{x}}{\mathbf{,}}{\mathbf{t}}{\mathbf{\right)}}{\mathbf{=}}{\mathbf{A}}{\mathbf{s}}{\mathbf{i}}{\mathbf{n}}{\mathbf{\left(}}{\mathbf{k}}{\mathbf{x}}{\mathbf{-}}{\mathbf{\omega }}{\mathbf{t}}{\mathbf{\right)}}}$

Wave constant:

$\overline{){\mathbf{k}}{\mathbf{=}}\frac{\mathbf{2}\mathbf{\pi }}{\mathbf{\lambda }}}$

Angular frequency:

$\overline{){\mathbf{\omega }}{\mathbf{=}}{\mathbf{2}}{\mathbf{\pi }}{\mathbf{f}}}$

Wave velocity:

$\overline{){\mathbit{v}}{\mathbf{=}}{\mathbf{f}}{\mathbf{\lambda }}}$

Comparing the wave equation given to the general wave equation:

k = 4.00m-1

ω = 7.00 rad/s

84% (233 ratings)
###### Problem Details

Use the wave equation to find the speed of a wave given by:

Frequently Asked Questions

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 The Mathematical Description of a Wave concept. You can view video lessons to learn The Mathematical Description of a Wave. Or if you need more The Mathematical Description of a Wave practice, you can also practice The Mathematical Description of a Wave practice problems.