In the illustrated system, what pressure will be indicated on the gage if the load (x) is 10,000 lb (4,450 kg) and the piston area (y) is 10 sq. in (64.5 sq cm.)? See illustration GS-0062.
• Relationship of pressure, force, and area in a hydraulic system • How pressure is transmitted equally through a confined fluid (Pascal’s principle) • Unit relationship: pounds (lb) over square inches (sq. in.) gives psi (pounds per square inch)
• In the illustration, what single pressure must the fluid develop in the red side of the cylinder so that the piston can support a 10,000 lb load on an area of 10 sq. in.? • Using the formula for pressure, how do you combine the given load (force) and piston area to get psi, before even looking at the answer choices? • Once you have the pressure at the piston, what does Pascal’s principle tell you about the pressure indicated on the gage anywhere else in that same closed hydraulic line?
• Write and use the formula Pressure = Force ÷ Area with the given numbers, keeping the units as lb and sq. in. • Confirm that your numerical result is expressed in psi (lb/sq. in.), then match it to the closest psi value in the choices. • As a reasonableness check, ask: if I spread 10,000 lb over 10 sq. in., should the pressure be larger or smaller than 10,000 psi? Eliminate any options that clearly don’t fit this logic.
No comments yet
Be the first to share your thoughts!