Mechanical aptitude test...for fun.
Def not a physics, statics, dynamics or thermo exam... :P
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300 lbs / 3 sqrt-inch = 100 psi of hydraulic pressure.
Hydraulic pressure, being incompressible, will be constant at the face of the main LARGE piston also... the large piston that lifts the car up. And lets say that large piston has a bore that's 5x the smaller piston bore, so 15 sq-inches. So then the force the large piston will exert:
100 psi * 15 sq-inch = 1500 lbs!
or 3x the force on the smaller piston, which is exactly the ratio of areas between the piston bores. (And that force is at the piston, add/subtract mechanical leverage to the floor jack tray... also the piston size numbers are out of my... ug... ****! But they are definitely 2 very different sizes.)
Thus given constant hydraulic pressure, the more surface area, the more force.
At least that's how I read the problem in that test. Like Pscheoverdrive said, the wordings are very ambiguous... so I may have totally read the problem wrong!
For one, they gave the "force" in "psi", which is incorrect.
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Pressure (lb/in²) * Area of piston (in²) = Force (lb)
Only problem is the numbers won't be accurate if the vehicle isn't level when in the jacked position. You could get angle measurements and do some calc's based on CG measurements, but that starts sounding like work. :P
And yes the 'test' wasn't worded well...the fate of our careers doesn't rest on the pass/fail of it.




