How Do You Calculate the Movement of a Hydraulic Lift's Input Cylinder?

AI Thread Summary
To calculate the movement of a hydraulic lift's input cylinder, one must apply the principles of fluid mechanics, specifically Pascal's principle. Given the diameters of the input and output cylinders, the area ratio can be used to relate the forces and displacements of the two cylinders. The mass of the object being lifted allows for the calculation of the force exerted by the lion, which can then be used to determine the necessary displacement of the input cylinder. Understanding that the fluid is incompressible simplifies the calculations, focusing on pressure and area rather than velocity. Mastery of these concepts will lead to a clearer understanding of hydraulic systems.
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Fluid pressure problem? please help!

Homework Statement


The input cylinder of a hydraulic lift has a diameter of 8.00 cm, and a bronze lion sits on a cylinder with 198.0 cm diameter. If the lion has a mass of 1395 kg, how far down does the input cylinder have to go to lift the lion 0.500 meter?


Homework Equations



p1 + 0.5 p (v1)^2 + pg(h1) = p2 + 0.5 p (v2)^2 + pg(h2)
F1/A1 = F2/A2


The Attempt at a Solution



This is fluids at rest, so the velocity doesn't come into hand. It doesn't provide p. h1 is 0.5m. What do p1 and p2 equal. They also don't give the force applied on the input cylinder. I don't know how to do this. I don't want the answer. I just want to know how to get there. I'd rather understand the concept behind it.
 
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Fluids are taken to be incompressible.
 
thanks that makes it much easier
i overlooked that
 
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