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Measure force produced by air pressure in pipe system with valve

I'm attempting to design a system that uses pressurised air to shoot tennis balls and am struggling to find the right mathematics to calculate the necessary air pressure and volume needed to propel the … The design involves an air compressor that feeds air into a chamber at say, f Litres/min, the chamber is a cylinder (let's say of radius r and height h) with a solenoid valve on one end. …
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