Minor hydraulics quesiton

Cannons powered by pneumatic pressure (compressed gas) using a valve or other release.
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saefroch
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If have a setup that looks rather like a funnel, with a large diameter piston on one side and a much smaller diameter piston on the other, and the volume between filled with an incompressible liquid, will applying a force of F to the large piston towards the smaller piston result in the same force F on the smaller piston?
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ramses
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the pressure in the fluid will be the same. If you apply 100 lbs to a 4 square inch piston, the pressure in the fluid will be 100/4 = 25 PSI.


If you have that act on a 1 square inch piston, the force on that piston will be 25*1=25 pounds.

If the 4 square inch piston moves 1", the displaced volume will be 4*1=4 cubic inches,

if you have that move the 1 square inch piston, it will move 4/1=4 linear inches.
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saefroch
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So no, then. Thanks!
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mark.f
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Yup. This is how you are able to lift your car with the tiny pump in a hydraulic jack, and, even more interestingly, how pressure boosters operate. :wink:
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