Calculating Hydraulic Pump Area for Efficient Load Lifting

[mikex24]

Homework Statement

I want to calculate the areas of a hydraulic oil pump which will be used to lift a load(car). My load ratio is 50:1 and i want to transfer this power using a lever. I want the second piston to travel to max position on approximately 40 strokes. Also i want the ratio of the cylinders dimater not to be large because my design have to be compact.

Homework Equations

Here is the main formula Pressure=Force/area.

The Attempt at a Solution

I have calculated on both sides of the system my force ratio which is 50:1. The user of the pump can act on the system 400Newton approx and using a lever of a lever of 120mm will increase the input load to 500N. The lifting load is 25000N so 50:1 force ratio. I need some help to calculate the areas of the cylinders. I try to make an assumption for the small area cylinder but the large area cylinder become too large, 50x larger than the input. I am sure that it is an easy solution but as i am never done it again it is difficult for me. I have aslo calculate the stroke of the second cylinder=100mm. Therefore i have to calculate the area of two cylinders which i input 500N and by 50x strokes on the small cylinder i want to get 100mm piston displacement on the large one.

 

[mikex24]

Delete the topic please