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

In summary, the conversation discusses using Pascal's Principle to determine the force magnitude on a larger piston in a hydraulic press, given the force magnitude on a smaller piston and the diameters of both pistons. The formula F_1A_1=F_2A_2 is used to solve for the force magnitude on the larger piston. It is noted that the units should be checked to ensure the correct answer is obtained.
  • #1
jinman
15
0
[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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  • #2
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.
 
  • #3
thanks!
 
  • #4
Anytime.:smile:
 

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

What is Pascal's Principle?

Pascal's Principle, also known as the principle of transmission of fluid-pressure, states that when there is an increase in pressure at any point in a confined fluid, there is an equal increase at every other point in the container.

How does Pascal's Principle work?

Pascal's Principle is based on the fact that fluids are not compressible, meaning that when a force is applied to a fluid, it will transmit that force equally in all directions. This is why when you squeeze one end of a toothpaste tube, the toothpaste comes out of the other end.

What are some real-life applications of Pascal's Principle?

Pascal's Principle is used in various hydraulic systems, such as car brakes and jacks, where a small force is multiplied to create a larger force. It is also used in hydraulic lifts, hydraulic presses, and in some medical devices, like blood pressure cuffs.

What are the limitations of Pascal's Principle?

Pascal's Principle only applies to incompressible fluids and does not take into account factors such as viscosity and turbulence. It also assumes that the container is rigid and does not deform under pressure. Additionally, Pascal's Principle does not explain the behavior of gases, as they are compressible.

What is the difference between Pascal's Principle and Bernoulli's Principle?

While both principles deal with fluids, they are based on different concepts. Pascal's Principle focuses on the transmission of pressure in a confined fluid, while Bernoulli's Principle describes the relationship between the speed of a fluid and its pressure. Bernoulli's Principle is often used to explain the lift force in airplanes and the flow of fluids through pipes.

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