So on a fel piston there is more power pushing the rod out (dumping the bucket) then pushing the rod back in as in (curling the bucket)?
YES, that's correct.
It's still the same diameter piston either way.
Yes, the piston is still the same diameter on both sides, but the only effective part of the moving piston is the area of the piston that is perpendicular to the direction of motion. Donnie is correct when he said that on the rod side you subtract the area of the rod from the area of the piston.
BTW, the directional FORCE that the fluid applies to the piston is simply the hydraulic pressure in pounds per square inch multiplied by the area of the piston head in square inches.
Of course inside the cylinder the hydraulic pressure is the same in all directions..... but the only thing that is moving much is the piston and so it the movement of the piston that is doing our useful work.
I'm not being smart, I just don't know. Thats why I'm asking.
I'd call that being smart.
luck, rScotty