Dedicated converter

newtons to pounds per square inch calculator

A two-input calculator for a two-part question: psi needs both a force and the area it presses on. Supply newtons and square inches; the calculator delivers pounds per square inch with its working.

The Converter

N → psi
N
in²
psi
Precision
Quick values

Total Working

Formula P(psi) = F(N) × 0.2248089431 ÷ A(in²)
Substitute
Result
psi = lbf ÷ in²
Force (N) Pressure (psi)
100 22.4809
445 100.04
1,000 224.8089
2,224.8 500.1549
4,448 999.9502
10,000 2,248.0894
22,248 5,001.5494
44,482 9,999.9514
100,000 22,480.8943
222,482 50,015.9433

Table values assume an area of 1 in² — divide by your actual area for the final pressure.

The exact factor

psi = lbf ÷ in²

Derived from the defined constants 1 lb = 0.45359237 kg and gₙ = 9.80665 m/s² — no measurement error, only display rounding.

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Using the calculator

Enter the force in newtons and the contact area in square inches. The tool converts force to lbf (× 0.2248089431), divides by area, and reports psi at your chosen precision.

Example: a 2,224.8 N hydraulic cylinder acting on a 1 in² piston generates 500.14 psi — the round numbers hiding in hydraulic catalogs.

Pressure conversions without an area

Already holding a pressure? Use the direct routes: MPa × 145.038 = psi; kPa × 0.145038 = psi; bar × 14.5038 = psi. A 10 MPa hydraulic rating is 1,450.4 psi.

The N-plus-area route on this page is for when you start from a raw force — clamping, pressing, or piston problems.

Questions, answered

Frequently asked

How do I get psi from newtons? +
Divide the force's lbf value by the area in square inches: psi = (N × 0.2248089) ÷ in².
What is 1 MPa in psi? +
145.038 psi. MPa is just N/mm² — one newton per square millimeter.
What psi does 4,448 N on 2 in² produce? +
4,448 N = 999.95 lbf; ÷ 2 = 500 psi (effectively — the input was 1,000 lbf).
The collection

Every converter

Dedicated pages for every force, torque, and pressure conversion — each with its own calculator, exact factor, and worked examples.