What is the Formula for Calculating Force in a Hydraulic System?

  • Thread starter Thread starter starfish794
  • Start date Start date
  • Tags Tags
    Force Newtons
AI Thread Summary
To calculate the force in a hydraulic system, the relationship between the areas of the pistons and the forces acting on them is crucial. The formula used is F1 = (A1/A2) * F2, where A1 and A2 are the areas of pistons 1 and 2, respectively. In this case, with piston diameters of 0.34 in and 1.0 in, the correct calculation yields a force of 57.8 pounds to support a 500 lb weight over piston 2. It's important to ensure that units are consistent, particularly if converting to Newtons, which requires changing inches to meters. This approach confirms the validity of the calculations in hydraulic systems.
starfish794
Messages
16
Reaction score
0
Piston 1 has a diameter of 0.34 in. Piston 2 has a diameter of 1.0 in. In the absence of friction, determine the force, necessary to support the 500 lb weight over piston 2.

I used F(1) = pi(r1^2)/pi(r2^2)*F(2)

and got the wrong answer. I used radii of .17in and .5in. Is that the right formula? Do I need to convert the units to something else?
 
Last edited by a moderator:
Physics news on Phys.org
Well if your force is in Newtons, then you would need to convert the inches to meters.
 
I get the same answer?

We know that F1=P A1 and F2=P A2, solve 2 for P, P = F2/A2 and substitute.

F1 = F2/A2 A1

I get 57.8 Pounds which makes sense.
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Calculations for Hydraulic Jacks lifting a load
Replies
2
Views
2K
How do you calculate the pull of this piston?
Replies
27
Views
1K
Problem on Differential Pulleys
Replies
11
Views
1K
Solve Hydraulic Pump Homework: F1=33.5 N
Replies
1
Views
2K
Brake mechanism in a car and pressurised oil
Replies
4
Views
2K
The Time and Force Required to Empty a Syringe: What Does Science Tell Us?
Replies
9
Views
2K
To find the angle between the ground and rods in limiting friction
Replies
5
Views
2K
How Do Hydraulic Systems Apply Pascal's Law?
Replies
5
Views
7K
Force necessary to support mass on Hydraulic Jack?
Replies
7
Views
7K
Calculating Theoretical Reaction Force of Ball Traveling in Semi-Circle
Replies
43
Views
4K

Hot Threads

Recent Insights

Back
Top