SESK: Stuff Everyone Should Know · sesk.info/eng-hydraulic-force-multiplication
An ideal hydraulic output piston has five times the input area. How does output force compare?
The output force is five times larger.
- Five times larger ✔
- Five times smaller
- Exactly the same
Why: Equal pressure acts on both pistons, so F1/A1 = F2/A2. Five times the area gives five times the force, ignoring height differences and friction.
Huh, didn't know that: Force multiplication trades for distance: the larger piston moves less far for the same displaced fluid volume.
The hydraulic jack got promoted because it lifted the whole team.
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References
Answer: Five times larger. Equal pressure acts on both pistons, so F1/A1 = F2/A2. Five times the area gives five times the force, ignoring height differences and friction.
- OpenStax University Physics Volume 1, Pascal's Principle and Hydraulics openstax.org/books/university-physics-volume-1/pages/14-3-pascals-principle-and-hydraulics
To make the force larger, the pressure is applied to a larger area.
Checked 2026-10-10.
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