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The problem i'm having is that I'm not entire sure how to determine the launching speed of the object given purely the velocity of the air exit the nozzle.

I've been doing research and some calculations that at ~54psia the air exiting the nozzle would be moving at mach 1 speeds (~300m/s) as long at the ratio between p/po is less than 0.528

I've been thinking of using the basic principle of conservation of momentum in order to determine the launching velocity of the solid leaving the nozzle, but I run into a problem. I'm not sure of the mass of air.

I've asked around as well and people have mentioned things such as control volume but have provided no explanation as to what it is or how to set it,(not to mention how to use it).

Any help on determining the exit velocity of a solid given the velocity of the air would be greatly appreciated.

Thanks again :)

Any help on determining the exit velocity of a solid given the velocity of the air would be greatly appreciated.

Thanks again :)

Other info: Diameter of Nozzle: 0.5 inch. PSI: 40. Atmospheric pressure: 1atm

Mass of solid being launched: 7 grams.