A piston of cross-sectional area a is used in a hydraulic press to exert a small

Question

A piston of cross-sectional area a is used in a hydraulic press to exert a small force of magnitude f on the enclosed liquid. A connecting pipe leads to a larger piston of cross-sectional area A (the figure). If the piston diameters are 2.85 cm and 52.2 cm, what force magnitude on the small piston will balance a 14.7 kN force on the large piston?  

A piston of cross-sectional area a is used in a hydraulic press to exert a small force of magnitude f on the enclosed liquid. A connecting pipe leads to a larger piston of cross-sectional area A (the figure). If the piston diameters are 2.85 cm and 52.2 cm, what force magnitude on the small piston will balance a 14.7 kN force on the large piston?

Explanation / Answer

Apply F/A = F/A

14700/(pi)(.261)^2 = F/(pi)(.01425)^2

F = 43.8 N

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