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

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Homework Help Overview

The discussion revolves around applying Pascal's Principle in the context of a hydraulic press problem, specifically focusing on the relationship between forces and areas of pistons in a hydraulic system.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to solve for the force on the larger piston using the relationship between the forces and areas of the pistons. They express concerns about the accuracy of their calculated force and seek clarification on their method.

Discussion Status

Some participants have provided feedback on the original poster's approach, suggesting a review of unit consistency in their calculations. There is an indication of ongoing exploration regarding the correct application of the principles involved.

Contextual Notes

The problem includes specific dimensions for the pistons and a known force on the larger piston, which are critical for the calculations but may require careful unit management to ensure accuracy.

jinman
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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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