Calculations for Hydraulic Jacks lifting a load

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SUMMARY

The discussion focuses on the calculations involved in hydraulic jacks, specifically analyzing the relationship between forces and pressures in a system with a hand pump and a jack cylinder. The hand pump has a piston area of 2.0 cm² and applies a force of 98.1 N, resulting in a pressure of 4.905 N/cm². This pressure is transmitted to a jack piston with an area of 10.0 cm², allowing it to lift a load of approximately 5 kg. Participants emphasized the importance of clear presentation and dimensional accuracy in calculations.

PREREQUISITES
  • Understanding of hydraulic systems and Pascal's principle
  • Basic knowledge of pressure calculations (P = F/A)
  • Familiarity with unit conversions (e.g., N to kg)
  • Ability to interpret and use LaTeX for mathematical expressions
NEXT STEPS
  • Study hydraulic system design principles
  • Learn about Pascal's law and its applications in engineering
  • Explore advanced pressure calculation techniques in fluid mechanics
  • Review best practices for presenting mathematical work clearly
USEFUL FOR

Engineering students, mechanical engineers, and anyone involved in the design and analysis of hydraulic systems will benefit from this discussion.

doconnor17dan
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Homework Statement
can somone check my working out ?
Relevant Equations
p=f/a
This cylinder is connected by a pipe to the larger diameter jack cylinder on the right where pressure p2 acts on the piston which has an area A2 and is able to lift a load equivalent to the force F2. The piston area of the hand pump cylinder is 2.0 cm2, the piston area of the jack piston is 10.0 cm2 and the force being applied F1 = 98.1 N

Here is my working out , would like to see If its correct ?

1. Which of the following is correct? 2. F1 > F2 3. F1 = F2 4. F1 < F2

2. Calculate the load being lifted by the jack cylinder in Kg's Pressure P1=P2 Force F1 = 98.1N P1=F1/A1 =98.1N / 2.0cm^2 = 4.905 N/cm^2 P2= P1 thus P2=4.905 N/cm^2 Thus P2=F2/A2 Thus F2 = P2XA2= 4.905x10 = 49.05N = approx. 49.05/0.102 = 5kg
 

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Not to be more pedantic than usual but... the "Homework Statement" is where you put the exercise text, not the begging for help bit.

Ditto, to the other guy who did the same thing a minute ago.

And, right underneath the reply box is "LaTeX Guide", which - if used - can help people read what you've written.

And, your diagram's sideways.

And, something else, can't remember, oh yeah more bitching about the equations : lack of dimensions, lack of checking your work to see if it makes sense, etc.

Protip : the "Enter" key, on the right hand side of the keyboard, can be used to insert what's called a "line break".

As far as the answer is concerned, you can either do it in your head - not complex - or write it out nice and neat and people will check it for you and make rude comments when they have difficulty reading it.

Just sayin'. Carry on.
 
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doconnor17dan said:
98.1N / 2.0cm^2 = 4.905 N/cm^2
?
 

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