Velocity of compressed air through pipe

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The discussion revolves around calculating the velocity of compressed air exiting a second regulator in an airsoft rifle setup. The air starts at 3000 psi, is regulated down to 800 psi, and then to 40 psi before entering a .25" diameter tube venting to the atmosphere. The challenge lies in determining the air density and velocity after the second regulator, as there are multiple unknowns, including temperature and pressure at the exit point. The conversation suggests that starting from the barrel's exit velocity might provide insights, but the complexity of the variables involved complicates the calculation. Overall, the participants express uncertainty about how to proceed with the thought experiment due to these unknowns.
rcummings89
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This started out as a thought experiment and then I realized I was stuck in how to figure it out.

If I have an airsoft rifle that uses compressed air in the tank at 3000 psi. It leaves the bottle regulated down to 800 psi. It then goes into a second regulator that reduces the pressure further down to 40 psi. I want to know what the velocity is when the air exits the second regulator. For the purposes of my thought experiment let's say it goes into a .25" diameter tube and vents into the atmosphere.

At the reservoir I think I can assume the temperature is room temp, but after the two regulators I don't where to go and I don't think I can calculate the density without it to use Bernoulli's equation. I think I have too many unknowns?
 
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So the second regulator feeds into the trigger , which when pulled releases the air , which pushes the slug down the barrel ??

It might be best to start at the barrel end , you know the velocity of the slug exiting the barrel ... , that's the velocity of the air leaving the barrel ... at what pressure ?? ...dia of barrel ... dia of air pipe ... many unknowns ..
 
For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...

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