Discovering Pascal's Principle: Solving Hydraulic Press Problems | Homework Help

AI Thread Summary
The discussion focuses on solving problems related to Pascal's Principle in a hydraulic press setup. The main equations used are based on the relationship F_1A_1=F_2A_2, allowing the calculation of forces exerted by pistons of different sizes. A specific example involves determining the force required on a smaller piston to balance a 20.0 kN force on a larger piston with diameters of 3.80 cm and 53.0 cm. The calculations provided indicate a miscalculation in unit conversion, suggesting the answer should be in kN rather than N. Overall, the thread emphasizes the importance of unit accuracy in hydraulic system problems.
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[SOLVED] Pascal's Principle help.

Homework Statement



A piston of cross-sectional area a is used in a hydraulic press to exert a small force magnitude f on the enclosed liquid. A connecting pipe leads to a larger piston of cross-sectional area A.
1. What force magnitude F(2) will the larger piston sustain without moving?
2.If the piston diameters are 3.80cm and 53.0cm, what force magnitude on the small piston will balance a 20.0kN force on the large piston?

Homework Equations


F_1A_1=F_2A_2


The Attempt at a Solution



For a i just solved the equation for F_2. so (F_1*A_1)/A_2=F_2

For B i plugged in my numbers where>>> F_2=(20.0kN*pi*.019^2)/pi*.265^2

F_2=1.03*10^2N?

Any help?
 
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Your method looks good to me. Your not getting the right answer?

Check your units. With the units you used there, the answer your getting should be coming out in kN, not N.
 
thanks!
 
Anytime.:smile:
 
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