How Far Must a Small Piston Be Pushed to Lift a Larger One by 20 cm?

[jacob.jonathon]

1. How far must a 2.0-cm-diameter piston be pushed down into one cylinder of a hydraulic lift to raise an 8.0-cm-diameter piston by 20 cm?

Homework Equations

3. what equations do i use is it pV=nRT

 

[Shooting Star]

Volume displaced by small piston must be equal to volume displaced in bigger cylinder. The liquid is taken to be incompressible.

 

[ogb p]

Hello! I would like to provide a response to your question about the equations needed to solve this problem. In this scenario, we are dealing with a hydraulic lift, which uses Pascal's law to operate. This law states that pressure applied to a confined fluid is transmitted equally in all directions. Therefore, we can use the equation P1V1 = P2V2, where P1 and V1 represent the initial pressure and volume, and P2 and V2 represent the final pressure and volume. Additionally, we can also use the equation A1d1 = A2d2, where A1 and d1 represent the initial cross-sectional area and displacement, and A2 and d2 represent the final cross-sectional area and displacement. With these equations, we can calculate the displacement of the smaller piston needed to raise the larger piston by 20 cm. I hope this helps!