Convert newtons to psi by entering the force and the area it presses on, or solve for force or area in N, kN, lbf, tons-force, in², cm² or mm².
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Force To PSI Formula
The following formula is used to convert Force to PSI.
- Where PSI is the pounds per square inch
- N is the total force in newtons
- A is the total area in square inches
To calculate psi from newtons, divide force by4.4482216152605 to get pounds-force, then divide by loaded area in square inches. Force alone is not a pressure.
If you already have a pressure in N/mm² (MPa) or N/m² (Pa), no separate area is needed. Use the pressure-unit conversion mode in the Newton to MPa Calculator and read its psi result; it also accepts psi to convert back to MPa or Pa.
| Pascals (Pa) | PSI |
|---|---|
| 1,000 | 0.145 |
| 5,000 | 0.725 |
| 10,000 | 1.450 |
| 20,000 | 2.901 |
| 30,000 | 4.351 |
| 40,000 | 5.802 |
| 50,000 | 7.252 |
| 60,000 | 8.702 |
| 70,000 | 10.153 |
| 80,000 | 11.603 |
| 90,000 | 13.053 |
| 100,000 | 14.504 |
| 150,000 | 21.756 |
| 200,000 | 29.008 |
| 250,000 | 36.259 |
| 300,000 | 43.511 |
| 400,000 | 58.015 |
| 500,000 | 72.519 |
| 700,000 | 101.526 |
| 1,000,000 | 145.038 |
| * Rounded to 3 decimals. Conversion: 1 psi = 6,894.76 Pa (1 Pa ≈ 0.000145038 psi). | |
How are Newtons converted to PSI?
Since newtons are a unit of force and PSI is a unit of pressure, these two units cannot be converted to one another without additional information.
That additional information in this case is the total area the force is acting on. Newtons are converted to pounds-force by dividing by4.4482216152605; divide that result by loaded area in square inches to get psi.
How to calculate PSI from Newtons?
Example Problem:
The following example outlines how to calculate PSI from newtons.
First, determine the total force in newtons. For this example, the total force is measured to be 50 N.
Next, convert newtons to pounds-force. Multiplying by approximately0.224809 gives pounds-force, not pounds of mass.
50*.224809 = 11.24045 lb-f
Next, determine the total area in square inches. In this case, the total area is 5 square inches.
Finally, calculate the PSI using the formula above:
psi = N ×0.22480894309971 / A, with A in square inches
PSI = 11.24045 / 5
PSI ≈2.248 lbf/in²
