Measuring the speed of sound
length of (copper) tube = .569 m
time interval between echos = .0033 s
speed of sound = 2 * (.569 m) / (.0033 s) = 345 m/s
 
Modeling the copper pipe
This is a sound file that I recorded of the response of my pipe to an impulse (clapping): pipe sampled
The fourth impulse is the one that I used for my modeling. Here is the waveform for that impulse: pipe sampled waveform
As mentioned above, the period of the signal is .0033 seconds.
The amplitude of the peaks decays by an average factor of .584
Using this information, I made a crude model of the pipe. It is based around a single click, which is echoed with a period of .0033 seconds and a decay factor of .584
This is the sound file for my model pipe's response to a perfect impulse: pipe model
This is the waveform for the same model pipe: pipe model waveform
While this model doesn't sound a whole lot like the sample of the actual pipe, there are audible similarities if one listens closely.