# Superposition in Waves

1. Jan 17, 2010

### sphouxay

1. The problem statement, all variables and given/known data
I have a problem that I cannot solve or find the right equation for. First off, I am told that there is a simple sinusoidal wave form that has a sound generator playing a frequency of 262 hz. The speed of sound is 343 m/s. I am asked to calculate the angular frequency, the period, wave number and the wavelength of the sound wave.

I need to use a software called maxima, it can be found on http://maxima.sourceforge.net and draw a graph representing where the x-axis is the position or the position value could be set and then the x-axis of the graph will represent time. To start the graph, an example of how to represent a standard x-y function is as such:
wxplot2d(<expression>, <range>), an example is wxplot2d(sin(3*t), [t, 0, 5])

2. Relevant equations

D(x,t) = Asin(kx-(omega)t + (phase constant))
I need to use a software called maxima, it can be found on http://maxima.sourceforge.net and draw a graph representing where the x-axis is the position or the position value could be set and then the x-axis of the graph will represent time. To start the graph, an example of how to represent a standard x-y function is as such:
wxplot2d(<expression>, <range>), an example is wxplot2d(sin(3*t), [t, 0, 5])

3. The attempt at a solution
Angular frequency = omega = 2pi(frequency) = 2pi(262)= 1646.19455
Period = (1/T) = 1/262 = 0.0038167939
Wave number = omega/velocity= 1646.19455/(343)= 4.79940102

I thought the way to do it was as such: wxplot2d(sin((4.79940102)x + (phase constant= 0 rad), [x, 0, 5]) and wxplot2d(sin(-(1646.19455)t + (phase constant), [t, 0. 5]))