In the illustrated system, what pressure will be indicated on the gage if the load (x) is 8000 lbs (3632 kg) and the piston area (y) is 8 sq. in (51.6 sq. cm)? See illustration GS-0062.
• Relationship between force, area, and pressure in a hydraulic system • How pressure in a closed hydraulic line is the same at the piston and at the gage (Pascal’s principle) • Using consistent units: pounds (lb) of force and square inches (sq. in.) of area to get psi
• What simple formula links load (force), piston area, and pressure in this hydraulic cylinder? • If the piston must support 8000 lb and its area is 8 sq. in., what pressure must the fluid exert on each square inch of that piston? • Once you find the pressure in pounds per square inch at the piston, what will the pressure gage read, assuming no losses in the system?
• Write and use the formula Pressure = Force ÷ Area, keeping track of units. • Confirm that you are using 8000 lb as the force and 8 sq. in. as the area before doing the division. • After calculating, compare your result to the answer choices and check that it is in psi (lb/sq. in.), not total pounds or total force.
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