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Question:

Hydraulic Lift, Physics?

A hydraulic lift is used to jack a 980-[kg] car 12 [cm] off the floor. The diameter of the output piston is 18 [cm] and the input force is 250 N. If the input piston moves 13 [cm] uniformly in 1.0 [s] each stroke, how high does the car moves up in each stroke?

Answer:

W(input) F x L 250 x 0.13 32.50 J/s Let the output piston move h meter in 1 sec W(output) mgh 980 x 9.8 x h 32.50 980 x 9.8 x h h 0.003384 m h 3.38 mm/sec
2 wheel drive, 4 wheel drive, front or rear axle leaking? not enough info. if its the rear axle then you should just need seals, if its the front it depends on where and what is leaking. is it leaking gear oil or cv joint grease? if the cv boot has give out you can replace just the boot and repack with cv grease, if the cv joint has failed also you can buy just that. but in most cases you are just well enough to buy the axel shaft
Your axles can't leak. They are solid steel and hold no fluids. They bathe in lubricant that is held in by seals. You may have damage the axles from not having proper lubricant that leaked out but the axle itself doesn't leak. Sound like you need to understand your problem a little better. It could be that you are being told that the axle seals need to be changed an not neccessarily the axle itself.
Take it to another mechanic. Replacing an axle to cure a leak is a bit extreme. The axle seals are all that should need replacing.
(980 x 9.8) 9,604N. weight (g 9.8 used). Mechanical advantage (9,604/250) 38.416:1. So if the output piston moves 12cm., the input piston must move a total of (12 x 38.416) 460.992cm. Number of strokes (460.992/13), 35.461 strokes. Distance car rises each stroke (12/35.461) 0.3384cm., or 3.384mm.

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