In the illustrated system, what pressure will be indicated on the gage if the load (x) is 758.7 lbs (344 kg) and the piston area (y) is 1.25 sq. in (8.0 sq. cm)? See illustration GS-0062.
• Use Pascal’s Law for hydraulics: pressure in a confined fluid is transmitted equally in all directions. • Remember the basic formula Pressure = Force ÷ Area when force is given in pounds and area in square inches, giving pressure in psi. • Match the units carefully: pounds (lb) for force and square inches (in²) for area, and compare to the answer choices in psi.
• From the illustration, what force is acting on the fluid, and over what piston area is that force distributed? • If you divide the given load by the piston area, what numerical value do you get, and which answer choice is closest to that? • Do any of the answer choices look unreasonable if you consider that increasing the load or decreasing the piston area increases pressure?
• Verify you are using Pressure (psi) = Load (lb) ÷ Piston area (in²) with no extra factors. • Confirm that you are not mixing kg with lb or cm² with in² in the actual calculation; stay in one unit system. • After computing the pressure, compare your result to each option and pick the one with the closest psi value and matching metric equivalent.
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