Calculations for Hydraulic Jacks lifting a load

In summary, the smaller hand pump cylinder with an area of 2.0 cm2 is connected to a larger jack cylinder with an area of 10.0 cm2. The pressure acting on the piston in the jack cylinder is P2 and the force being applied is F2. The force being applied by the hand pump cylinder is F1 = 98.1 N. Using the formula P1 = F1/A1, we can determine that the pressure in the hand pump cylinder is also 4.905 N/cm^2. Since P1 = P2, we can calculate F2 using the formula F2 = P2*A2, which gives us a value of approximately 49.05 N. This is equivalent
  • #1
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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  • #2
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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  • #3
doconnor17dan said:
98.1N / 2.0cm^2 = 4.905 N/cm^2
?
 

1. How do hydraulic jacks work?

Hydraulic jacks use the principle of Pascal's law to lift heavy loads. This law states that pressure applied to an enclosed fluid is transmitted equally in all directions. In a hydraulic jack, a small force is applied to a small piston, which then pushes against a larger piston, creating a larger force that can lift heavy loads.

2. What is the formula for calculating the lifting capacity of a hydraulic jack?

The formula for calculating the lifting capacity of a hydraulic jack is: Lifting Capacity = Area of Large Piston / Area of Small Piston x Input Force. This means that the larger the area of the large piston, the greater the lifting capacity of the jack.

3. How do I determine the maximum height a hydraulic jack can lift a load?

The maximum height a hydraulic jack can lift a load depends on the length of the hydraulic cylinder and the amount of oil in the cylinder. The formula for calculating the maximum height is: Maximum Height = Volume of Oil / (Area of Large Piston x Number of Strokes). This means that the more oil in the cylinder and the larger the area of the large piston, the higher the maximum height the jack can lift the load.

4. Can hydraulic jacks lift uneven loads?

Yes, hydraulic jacks can lift uneven loads. This is because the fluid in the hydraulic system will distribute the force equally to all sides of the jack, allowing it to lift uneven loads without tipping over.

5. How do I choose the right hydraulic jack for my lifting needs?

When choosing a hydraulic jack, it is important to consider the weight of the load you need to lift, the maximum height you need to lift it, and the available space for the jack. You should also consider the quality and durability of the jack, as well as any additional features such as adjustable height or safety mechanisms. It is always best to consult with a professional or refer to the manufacturer's recommendations to ensure you choose the right hydraulic jack for your specific lifting needs.

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