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

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Live Conversion • ISO 80000-4:2019 Certified
1 Bar = 14.50377377 Pound/sq. inch
1 bar = 14.503774 psi • 1 psi = 0.0689476 bar
Bar to Pound/sq. inch: One Bar is equal to 14.50377377 Pounds/sq. inch.
Certified Authority Value
14.50377377
psi
Exact: 1 psi ≡ 0.06894757293 bar
bar
bar
Swap to Pound/sq. inch to Bar
psi
psi 14.50377377
Quick Values:
1 bar 5 bar 10 bar 25 bar 50 bar 100 bar 250 bar 500 bar 1,000 bar
Conversion Formula
To convert Bar to Pound/sq. inch, multiply by 14.50377377
bar × 14.50377377 = psi

Calculation: 1 bar × 14.50377377 = 14.50377377 psi

Common Bar to Pound/sq. inch Calculations

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

Tap any row to calculate
Pound/sq. inch to Bar: Reciprocal Summary
Pound/sq. inch to Bar Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 psi is equal to 0.0689476 bar (Bar) 6.895 × 10⁻²
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
50 psi is equal to 3.447379 bar (Bar) 3.447 × 10⁰
100 psi is equal to 6.894757 bar (Bar) 6.895 × 10⁰
View Complete 15-Row Pound/sq. inch to Bar Table

Real-World Context & Everyday Benchmarks

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

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

Tap any benchmark above to automatically calculate its exact equivalent in Pound/sq. inch.

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

How to Convert Bar to Pound/sq. inch

Converting Bar (bar) to Pound/sq. inch (psi) 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 Bar equals 14.503774 Pound/sq. inch, while 1 psi equals 0.0689476 bar.

Direct Factor1 bar = 14.503774 psi
Inverse Ratio1 psi = 0.0689476 bar
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 bar = 100000 pascal (Pa)
2. Target SI Bridge (ktarget):1 psi = 6894.757293 pascal (Pa)
Step-by-step substitution for Bar → Pound/sq. inch:V(psi) = V(bar) × ( 100000 / 6894.757293 ) = V(bar) × 14.503774
Mathematical FormulaValue in Pound/sq. inch = Value in Bar × 14.50377377Direct computational formula applied for standard conversion.
Worked Example

Converting 8 bar yields an exact output of 116.03019 psi in Pound/sq. inch. Under higher industrial throughput, 10000 bar translates to 145037.73773 psi.

Inverse check: 1 psi = 0.0689476 bar.

Understanding Bar and Pound/sq. inch

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

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

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 Pound/sq. inch
Standard atmospheric pressure at sea level (1.01325 bar)1 bar14.503774 psi
Commercial espresso machine coffee extraction group head pressure9 bar130.533964 psi
Standard scuba diving compressed breathing air cylinder pressure200 bar2900.754755 psi
Deep ocean floor water pressure at bottom of the Mariana Trench1086 bar15751.098318 psi
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 bar at 100mm (4-inch) Standard Industrial Hydraulic Bore = 0.7854 kN
Equals 176.5649 lbf • 0.08009 t-force • 785.4 N
Civil & Press Metric
0.7854
kN
Kilonewtons
US Hydraulic Standard
176.5649
lbf
Pounds-Force
Press Capacity
0.08009
t-force
Metric Tons Force
SI Standard
785.4
N
Newtons
US Press Rating
0.08828
ton-force (US)
Short Tons Force
Workshop Standard
80.0885
kgf
Kilograms-Force
  1. 1. Normalize Input to SI Base Unit (Pa):
    P = 1 bar × 100000 = 100000 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 = (100000) × (0.007854) = 785.4 N
  4. 4. Convert to Standard Engineering Units:
    • kN: 785.4 × 0.001 = 0.7854 kN (Kilonewtons) • lbf: 785.4 × 0.2248 = 176.5649 lbf (Pounds-Force) • t-force: 785.4 × 0.000102 = 0.08009 t-force (Metric Tons Force) • N: 785.4 × 1 = 785.4 N (Newtons) • ton-force (US): 785.4 × 0.0001124 = 0.08828 ton-force (US) (Short Tons Force) • kgf: 785.4 × 0.102 = 80.0885 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
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Frequently Asked Questions

There are exactly 14.50377377 pounds/sq. inch (psi) in 1 bar (bar). To calculate larger amounts manually, simply multiply your total number of bars by the conversion multiplier of 14.50377377.

The mathematical formula to convert bars to pounds/sq. inch is: [value] * 14.50377377 = pounds/sq. inch. 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 pounds/sq. inch back to bars, you must divide your starting value by 14.50377377. Our bidirectional tool automatically computes this inverse equation the moment you type into the pound/sq. inch input field.

1 Bar is larger than 1 Pound/sq. inch. Specifically, 1 Bar equals exactly 14.50377377 pounds/sq. inch, making it 14.5038 times larger (a difference of 1.16 orders of magnitude). Therefore, quantities expressed in pounds/sq. inch require a larger numerical value to represent the same physical amount.

A typical standard atmospheric pressure at sea level (1.01325 bar) measures 1 bar, which corresponds to 14.5038 psi (Pound/sq. inch).

There are exactly 14.5038 Pound/sq. inch in 1 Bar. The conversion identity is expressed as 1 bar = 14.5038 psi.

To calculate the pressure in Pound/sq. inch, multiply the Bar value by the conversion factor of 14.5038. The formula is V(psi) = V(bar) × 14.5038.

To calculate the inverse conversion from Pound/sq. inch to Bar, multiply the psi value by 0.0689474. The reverse formula is V(bar) = V(psi) × 0.0689474.

One bar (1 bar) is roughly equal to the atmospheric pressure on Earth at sea level. In industrial systems, pneumatic air compressors commonly operate between 6 bar to 8 bar (87 psi to 116 psi).

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