Bar to Newton Force Calculator
A bar is pressure, while a newton is force. To convert correctly, enter both pressure and surface area.
How to convert bar to newton
Converting bar to newton is common in hydraulics, pneumatics, and mechanical design. The key thing to remember is that bar is pressure, and pressure only turns into force when it acts on an area. That is why this calculator asks for both pressure and area.
Why you cannot convert bar to newton directly
Bar and newton are different physical quantities:
- bar = pressure (force per unit area)
- newton (N) = force
If area is missing, there is no unique answer. For example, 5 bar on a tiny pin creates much less force than 5 bar on a large piston.
Formula and unit relationships
Use these base relationships:
- 1 bar = 100,000 pascal (Pa)
- 1 Pa = 1 N/m²
F (N) = [bar × 100,000] × area (m²)
Example calculation
Suppose pressure is 8 bar and piston area is 25 cm².
- Convert area: 25 cm² = 25 × 10-4 m² = 0.0025 m²
- Convert pressure: 8 bar = 800,000 Pa
- Force: F = 800,000 × 0.0025 = 2,000 N
Quick reference table (for 1 m² area)
If area is exactly 1 m², conversion is straightforward:
| Pressure (bar) | Force (N) at 1 m² | Force (kN) |
|---|---|---|
| 1 bar | 100,000 N | 100 kN |
| 2 bar | 200,000 N | 200 kN |
| 5 bar | 500,000 N | 500 kN |
| 10 bar | 1,000,000 N | 1,000 kN |
Common mistakes to avoid
- Skipping area conversion: cm², mm², in², and ft² must be converted to m².
- Using gauge pressure vs absolute pressure incorrectly: engineering specs may require one or the other.
- Mixing units: keep pressure in bar and area in one unit system before calculating.
FAQ
Is bar the same as N/m²?
Not exactly. Bar is much larger: 1 bar = 100,000 N/m².
Can I convert bar to newton without area?
No. You need the loaded area to compute force.
Does this calculator work for hydraulic cylinders?
Yes. Enter line pressure in bar and effective piston area to estimate ideal cylinder force in newtons.
Final takeaway
The correct conversion is always pressure-to-force through area: F = P × A. Use the calculator above to quickly convert bar and area into newtons, kilonewtons, and pounds-force.