I know right, you didn't expect a math question on a PB forum, well it's PB related and you guys are smart, so help if you can cause the people on math forums are viewing my thread, but not responding to it

.

I am working on my own little dream f a paintball marker and am stuck on some math. I need to figure out the pressure required for operation given the volume of air I have and the velocity we all want. The formulas (yes I stole these from somewhere on here) I am trying to work with are;

E = 1/2(M)(V^2)

M in kg (.0033kg for paintball)

V in meters per sec (300 feet/sec, converted to 91.44 meters/sec)

E solved to be 27.5922kg m^2/sec^2

Also;

E = (V)(P)

V is meters cubed (2.2472in^3 converted to .00003683m^3)

P solved to be 749,788.043kg/m(sec^2)

I converted that to PSI using an online calculator and got 108.7PSI and that would mean 2.2472in^3 @ 110 PSI would give me a velocity just over 300 FPS.

I don't think that number is right. I was expecting to get in the range of 150-180 PSI

Can anyone see a mistake, am I using the wrong formulas? It's been over 10 years since high school and I never was that great at math. Any help will be greatly appreciated.