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Ideal hydraulic press calculator

Apply equal fluid pressure to two pistons to find output force and mechanical advantage; the piston areas must use the same square-centimetre unit.

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Your result

Output force1,000N
Area ratio10
Fluid pressure100,000Pa

Calculator controls

How to calculate

Apply equal fluid pressure to two pistons to find output force and mechanical advantage; the piston areas must use the same square-centimetre unit.

Output force = F*B/A N; Area ratio = B/A; Fluid pressure = F/(A/10000) Pa

Worked example

Input force (N): 100; Input piston area (cm²): 10; Output piston area (cm²): 100.

Output force: 1,000 N; Area ratio: 10 ; Fluid pressure: 100,000 Pa.

Assumptions and limits

Apply equal fluid pressure to two pistons to find output force and mechanical advantage; the piston areas must use the same square-centimetre unit. Ideal incompressible fluid with constant density. Gauge pressure excludes atmospheric pressure; the hydraulic press ignores friction and losses.

Results are rounded for display; calculations use unrounded values. Read our calculation methodology.

Understanding the result

Apply equal fluid pressure to two pistons to find output force and mechanical advantage; the piston areas must use the same square-centimetre unit.

When this tool is useful

Output force = F*B/A N; Area ratio = B/A; Fluid pressure = F/(A/10000) Pa

Understanding your inputs

InputWhat to enter
Input force (N)Enter a number of at least 0 and no more than 1000000000000.
Input piston area (cm²)Enter a number of at least 1e-12 and no more than 1000000000000.
Output piston area (cm²)Enter a number of at least 1e-12 and no more than 1000000000000.

Frequently asked questions

What assumptions does this calculation use?

Apply equal fluid pressure to two pistons to find output force and mechanical advantage; the piston areas must use the same square-centimetre unit. Ideal incompressible fluid with constant density. Gauge pressure excludes atmospheric pressure; the hydraulic press ignores friction and losses.

How is the result calculated?

Output force = F*B/A N; Area ratio = B/A; Fluid pressure = F/(A/10000) Pa