Skip to main content
0 results ↑ ↓ navigate, ↵ select

Pound/sq. inch to Bar (psi to bar) Calculator & Formula

Rate this converter 0 of 0 ratings
Live Conversion • ISO 80000-4:2019 Certified
1 Pound/sq. inch = 0.068947573 Bar
1 psi = 0.0689476 bar • 1 bar = 14.503774 psi
Pound/sq. inch to Bar: One Pound/sq. inch is equal to 0.068947573 Bars.
Certified Authority Value
0.06894757
bar
Exact: 1 bar ≡ 14.503773773 psi
psi
psi
Swap to Bar to Pound/sq. inch
bar
bar 0.068947573
Quick Values:
1 psi 5 psi 10 psi 25 psi 50 psi 100 psi 250 psi 500 psi 1,000 psi
Conversion Formula
To convert Pound/sq. inch to Bar, multiply by 0.068947573
psi × 0.068947573 = bar

Calculation: 1 psi × 0.068947573 = 0.068947573 bar

Common Pound/sq. inch to Bar Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Pound/sq. inch (psi) and Bar (bar).

Tap any row to calculate
Pound/sq. inch to Bar: Primary Direct Table (15 Steps)
Pound/sq. inch to Bar Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 psi is equal to 6.894757 × 10⁻⁵ bar (Bar) 6.895 × 10⁻⁵
0.01 psi is equal to 0.000689476 bar (Bar) 6.895 × 10⁻⁴
0.1 psi is equal to 0.00689476 bar (Bar) 6.895 × 10⁻³
0.5 psi is equal to 0.0344738 bar (Bar) 3.447 × 10⁻²
1 psi is equal to 0.0689476 bar (Bar) 6.895 × 10⁻²
2 psi is equal to 0.137895 bar (Bar) 1.379 × 10⁻¹
5 psi is equal to 0.344738 bar (Bar) 3.447 × 10⁻¹
10 psi is equal to 0.689476 bar (Bar) 6.895 × 10⁻¹
20 psi is equal to 1.378951 bar (Bar) 1.379 × 10⁰
25 psi is equal to 1.723689 bar (Bar) 1.724 × 10⁰
50 psi is equal to 3.447379 bar (Bar) 3.447 × 10⁰
100 psi is equal to 6.894757 bar (Bar) 6.895 × 10⁰
250 psi is equal to 17.236893 bar (Bar) 1.724 × 10¹
500 psi is equal to 34.473786 bar (Bar) 3.447 × 10¹
1000 psi is equal to 68.947573 bar (Bar) 6.895 × 10¹
Bar to Pound/sq. inch: Reciprocal Summary
Bar to Pound/sq. inch Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 bar is equal to 14.503774 psi (Pound/sq. inch) 1.45 × 10¹
5 bar is equal to 72.518869 psi (Pound/sq. inch) 7.252 × 10¹
10 bar is equal to 145.037738 psi (Pound/sq. inch) 1.45 × 10²
50 bar is equal to 725.188689 psi (Pound/sq. inch) 7.252 × 10²
100 bar is equal to 1450.377377 psi (Pound/sq. inch) 1.45 × 10³
View Complete 15-Row Bar to Pound/sq. inch Table

Real-World Context & Everyday Benchmarks

Tap to load into converter

To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Pound/sq. inch (psi) and Bar (bar):

Pound/sq. inch References:

  • Standard passenger car automotive tire inflation pressure 32 psi
  • Standard municipal residential domestic water supply tap pressure 50 psi
  • Road racing competition bicycle high-pressure tire inflation 100 psi
  • Commercial pressure washer nozzle spray cleaning pressure 2500 psi

Bar References:

  • Standard atmospheric pressure at sea level (1.01325 bar) 1 bar
  • Commercial espresso machine coffee extraction group head pressure 9 bar
  • Standard scuba diving compressed breathing air cylinder pressure 200 bar
  • Deep ocean floor water pressure at bottom of the Mariana Trench 1086 bar

Tap any benchmark above to automatically calculate its exact equivalent in Bar.

ISQ Dimension: [M L⁻¹ T⁻²] Coherent SI Unit: pascal (Pa) Chemical Engineering, Solutions & Physical Chemistry

How to Convert Pound/sq. inch to Bar

Converting Pound/sq. inch (psi) to Bar (bar) is a core calculation in Pressure and Stress, which measures the perpendicular force exerted by a fluid or contact load per unit surface area. This calculation navigates the boundary between the International Metric System (SI) and British Imperial / US Customary engineering standards. In contemporary metrology, Imperial units are defined in terms of exact SI standards via international agreements—notably NIST SP 811 and the 1959 International Yard and Pound Agreement. Exactly 1 Pound/sq. inch equals 0.0689476 Bar, while 1 bar equals 14.503774 psi.

Direct Factor1 psi = 0.0689476 bar
Inverse Ratio1 bar = 14.503774 psi
Conversion ScaleMetric SI to British Imperial / US Customary Bridge
First-Principles SI Derivation ProofNIST SP 811 / ISO 80000 Compliance

Mathematical Conversion Derivation via Coherent SI Base Unit

Under the International System of Quantities (ISQ), dimensional conversion between non-SI units is rigorously resolved by bridging through the coherent SI base unit (pascal (Pa)) without arbitrary rounding:

Vtarget=Vsource×(ksource→SIktarget→SI)V_{\text{target}} = V_{\text{source}} \times \left( \frac{k_{\text{source} \to \text{SI}}}{k_{\text{target} \to \text{SI}}} \right)
Universal Dimensional Conversion Law (ISO 80000 / NIST SP 811)
1. Source SI Bridge (ksource):1 psi = 6894.757293 pascal (Pa)
2. Target SI Bridge (ktarget):1 bar = 100000 pascal (Pa)
Step-by-step substitution for Pound/sq. inch → Bar:V(bar) = V(psi) × ( 6894.757293 / 100000 ) = V(psi) × 0.0689476
Mathematical FormulaValue in Bar = Value in Pound/sq. inch × 0.068947573Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 250 psi, applying the conversion factor yields exactly 17.236893 bar. At larger operational scale, 5000 Pound/sq. inch corresponds to 344.737865 bar.

Inverse check: 1 bar = 14.503774 psi.

Understanding Pound/sq. inch and Bar

Pound/sq. inch

psi
Imperial / US Customary

The pound per square inch (psi or lbf/in²) is an imperial and US customary unit of pressure.

Applications & Practical Context

In practical pressure terms, a standard passenger car automotive tire inflation pressure equals 32 psi, a standard municipal residential domestic water supply tap pressure equals 50 psi, a road racing competition bicycle high-pressure tire inflation equals 100 psi.

Physical Setup

A pressure of 1 psi represents the force of one pound-force exerted uniformly across an area of one square inch (standard passenger car tires operate at 32 to 35 psi).

Conversion to SI Unit: pascal (Pa)
1 psi ≈ 6,894.76 Pa

Bar

bar
Metric Unit

The bar (bar) is a non-SI metric unit of pressure widely used in meteorology, engineering, and diving.

Applications & Practical Context

In practical pressure terms, a standard atmospheric pressure at sea level (1.01325 bar) equals 1 bar, a commercial espresso machine coffee extraction group head pressure equals 9 bar, a standard scuba diving compressed breathing air cylinder pressure equals 200 bar.

Physical Setup

A pressure of 1 bar is defined as exactly 100,000 pascals (100 kPa), approximating standard Earth atmospheric air pressure at sea level (1.01325 bar).

Conversion to SI Unit: pascal (Pa)
1 bar = 100,000 Pa

Domain Metrology & Engineering Applications

Governing Law & Equation

Pascal's Principle of Fluid Pressure (P = F / A)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using primary deadweight piston gauges, piezoresistive silicon pressure transmitters, and Bourdon tube test gauges.

Primary Industry Sectors

Applied across aerospace hydraulic flight actuators, oil & gas pipeline monitoring, chemical autoclave pressure safety, and industrial compressed air under international metrology standard ISO 80000-4:2019, NIST SP 811.

Physical Orders of Magnitude & Laboratory Reference Benchmarks

Physical Phenomenon / Engineering ReferenceReference ValueConverted to Bar
Standard passenger car automotive tire inflation pressure32 psi2.206322 bar
Standard municipal residential domestic water supply tap pressure50 psi3.447379 bar
Road racing competition bicycle high-pressure tire inflation100 psi6.894757 bar
Commercial pressure washer nozzle spray cleaning pressure2500 psi172.368932 bar
Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-4:2019, NIST SP 811 and the BIPM SI Brochure (9th Edition). Governed by Pascal's Principle of Fluid Pressure (P = F / A) under ISO 80000 dimensional vector [M L⁻¹ T⁻²].

Multi-Variable Engineering Bridge Fluid Power & Contact Mechanics

Hydraulic Cylinder & Contact Force Bridge (kN • lbf • Metric Tons • Bar • PSI • Pascals)

Calculate total thrust, clamp load, or bolt pretension from hydrostatic pressure [M L⁻¹ T⁻²] acting over cross-sectional geometry [L²] via Pascal's hydraulic principle F = P × A.

F = P × A
Live Calculated Bridge Equivalent:
1 psi at 100mm (4-inch) Standard Industrial Hydraulic Bore = 0.05415 kN
Equals 12.1737 lbf • 0.005522 t-force • 54.1514 N
Civil & Press Metric
0.05415
kN
Kilonewtons
US Hydraulic Standard
12.1737
lbf
Pounds-Force
Press Capacity
0.005522
t-force
Metric Tons Force
SI Standard
54.1514
N
Newtons
US Press Rating
0.006087
ton-force (US)
Short Tons Force
Workshop Standard
5.5219
kgf
Kilograms-Force
  1. 1. Normalize Input to SI Base Unit (Pa):
    P = 1 psi × 6894.75729317 = 6894.75729317 Pa
  2. 2. Apply Engineering Parameter (A):
    Selected condition: 100mm (4-inch) Standard Industrial Hydraulic Bore at A = 0.007854 m²
  3. 3. Execute Governing Physical Law in SI Units:
    F = P × A = (6894.75729317) × (0.007854) = 54.151424 N
  4. 4. Convert to Standard Engineering Units:
    • kN: 54.151424 × 0.001 = 0.05415 kN (Kilonewtons) • lbf: 54.151424 × 0.2248 = 12.1737 lbf (Pounds-Force) • t-force: 54.151424 × 0.000102 = 0.005522 t-force (Metric Tons Force) • N: 54.151424 × 1 = 54.1514 N (Newtons) • ton-force (US): 54.151424 × 0.0001124 = 0.006087 ton-force (US) (Short Tons Force) • kgf: 54.151424 × 0.102 = 5.5219 kgf (Kilograms-Force)
Explore Full Area Converter →
Engineering Substance / Operating Standard Parameter Value (m²) Reference State / Condition Typical Industrial & Engineering Application
25mm (1-inch) Micro Pneumatic Bore 0.0004909 Area = π × (0.0125m)² Automation grippers & electronic assembly tooling
50mm (2-inch) Medium Pneumatic Ram 0.001964 Area = π × (0.025m)² Industrial packaging presses & clamping fixtures
100mm (4-inch) Standard Industrial Hydraulic Bore 0.007854 Area = π × (0.05m)² Excavator booms, log splitters & machine shop presses
150mm (6-inch) Heavy Mobile Hydraulic Ram 0.01767 Area = π × (0.075m)² Mining shovels, dump truck lifts & forge actuators
200mm (8-inch) Massive Press Cylinder 0.03142 Area = π × (0.10m)² Automotive body stamping presses & scrap balers
Vehicle Road Contact Patch (4 Car Tires) 0.06 4 × 150 cm² tire patches Total passenger tire road contact footprint
Standard M12 High-Strength Bolt Tensile Area 8.43 × 10⁻⁵ ISO 898-1 stress area 84.3 mm² Flange fastener clamping stress analysis
Standard M20 Structural Bolt Tensile Area 0.000245 Stress area 245 mm² Heavy structural steel framing & anchor rods
1.0 Square Meter Reference Plate Area 1 1.0 m × 1.0 m area Architectural wind load & hydrostatic flood gate
Embed
Need this Pound/sq. inch to Bar calculator on your website, lab portal, or research blog?
Free HTML Widget 100% Responsive Zero Cookie Tracking
Notice a calculation discrepancy, rounding error, or glitch?
Help us maintain 100% scientific precision and report any issues directly to engineering.

Frequently Asked Questions

There are exactly 0.068947573 bars (bar) in 1 pound/sq. inch (psi). To calculate larger amounts manually, simply multiply your total number of pounds/sq. inch by the conversion multiplier of 0.068947573.

The mathematical formula to convert pounds/sq. inch to bars is: [value] * 0.068947573 = bars. Rather than doing the math manually, you can use our high-precision online calculator to process this exact equation instantly without rounding errors.

To perform the reverse calculation from bars back to pounds/sq. inch, you must divide your starting value by 0.068947573. Our bidirectional tool automatically computes this inverse equation the moment you type into the bar input field.

1 Bar is larger than 1 Pound/sq. inch. Specifically, 1 Pound/sq. inch equals 0.068947573 bars, meaning 1 Bar is 14.5038 times larger than 1 Pound/sq. inch (a difference of 1.16 orders of magnitude). Expressing measurements in pounds/sq. inch requires a larger numerical value to represent the equivalent physical magnitude.

A typical standard passenger car automotive tire inflation pressure measures 32 psi, which corresponds to 2.2063 bar (Bar).

There is exactly 0.0689474 Bar in 1 Pound per square inch. The fundamental ratio is 1 psi = 0.0689474 bar.

To perform the conversion, multiply the total PSI by 0.0689474. The formal scientific equation is V(bar) = V(psi) × 0.0689474.

To compute PSI from Bar, multiply the Bar metric by 14.5038. The reverse transformation formula is V(psi) = V(bar) × 14.5038.

Industrial compressors frequently operate at 145 PSI, which easily translates to precisely 10 Bar (145 × 0.0689474 = 10). This mapping is fundamental in international fluid power and hydraulic component sizing.

Similar Categories