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Plumbing 500 gallon pasture spray rig- fluid engineering question

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Latest Project is ready to plumb. Pasture spray rig with a 500 gallon poly tank on a tandem walking axle frame from a fertilizer spreader. Will use a 8 roller pto driven pump with 3/4 inlet and outlet.

Looks like some of the factory built rigs use 3/4 hose to the pump and valve and 1/2 hose to the nozzle. What does the reduction in size do to pressure and volume? I think it will increase pressure and decrease volume but I ran from every science class I could. Both are important though. I was just going to use 3/4 all the way. It's a $100 screwup if I just do it my way for hose and fittings.

Will be using a boomless nozzle on the business end.

Thanks in advance for your response.

Jay

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