Air Speed Calculation for a .002 Inch Gap at 80 PSI

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To calculate the air speed exiting a .002 inch gap at 80 PSI, the volumetric flow rate of 139.2 SCFM can be used to determine the velocity. The area of the gap can be calculated assuming a circular shape, which is essential for finding the velocity. The pressure of 80 PSI affects the exit speed, as compressed air will move slower than at standard atmospheric pressure. It is necessary to integrate the flow rate and pressure into a formula to accurately determine the air speed in MPH. Understanding these calculations is crucial for assessing any potential loss of velocity one inch from the gap's face.
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Homework Statement



Air is coming out of a .002 inch gap consuming 139.2 SCFM@80PSI, what is the MPH this air is moving at and is there any loss one inch out from the face of the gap?

I am unsure of what formula to use, it has me puzzled.
 
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You have the volumetric flow rate of the gas, you can assume the gap is circular (so the area can be calculated), so you can find the velocity of the gas, but the gas is compressed to 80 PSI so it'll exit more slowly than at the standard pressure. The task here is to integrate all this information to come up with a formula for the answer. I hope you can see how to do that now.
 
Ok I was not sure if I had to treat the 80 PSI differently or how that factored in.
 
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