Never took a look at this, but my formula is a lot simpler. I'm not even sure if what was posted is correct.
O - output in mL/s
D - diameter of nozzle is mm
speed in m/s = 4*O / pi*D^2
Really easy to remember and every result it has given me appears correct.
I think this forumula will be installed in our review system in the future to automatically give approximate initial speed for water guns based upon the statistics available.
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