Bars to Femtopascals Converter (bar to fPa)

Rate this converter

Instant calculation with 0ms overhead

Popular Converters

Live Conversion • ISO 80000-4:2019 Certified

1 Bar = 1 × 10²⁰ Femtopascal

1 bar = 1 × 10²⁰ fPa • 1 fPa = 1 × 10⁻²⁰ bar

Decimals:

Certified Authority Value

99999999999999983616.00000000

fPa

From / Input

bar

Swap to Femtopascal to Bar

To / Result

fPa

Quick Values:

Conversion Formula

To convert Bar to Femtopascal, multiply by 1 × 10²⁰

bar × 1 × 10²⁰ = fPa

Calculation: 1 bar × 1 × 10²⁰ = 1 × 10²⁰ fPa

Common Bar to Femtopascal Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Bar (bar) and Femtopascal (fPa).

Tap any row to calculate

Bar to Femtopascal: Primary Direct Table (15 Steps)

Rule: 1 Bar is equal to 1 × 10²⁰ fPa (Femtopascal)

Bar to Femtopascal Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 bar 1 × 10¹⁷ fPa	1 × 10¹⁷
0.01 bar 1 × 10¹⁸ fPa	1 × 10¹⁸
0.1 bar 1 × 10¹⁹ fPa	1 × 10¹⁹
0.5 bar 5 × 10¹⁹ fPa	5 × 10¹⁹
1 bar 1 × 10²⁰ fPa	1 × 10²⁰
2 bar 2 × 10²⁰ fPa	2 × 10²⁰
5 bar 5 × 10²⁰ fPa	5 × 10²⁰
10 bar 1 × 10²¹ fPa	1 × 10²¹
20 bar 2 × 10²¹ fPa	2 × 10²¹
25 bar 2.5 × 10²¹ fPa	2.5 × 10²¹
50 bar 5 × 10²¹ fPa	5 × 10²¹
100 bar 1 × 10²² fPa	1 × 10²²
250 bar 2.5 × 10²² fPa	2.5 × 10²²
500 bar 5 × 10²² fPa	5 × 10²²
1000 bar 1 × 10²³ fPa	1 × 10²³

Femtopascal to Bar: Reciprocal Summary

Rule: 1 Femtopascal is equal to 1 × 10⁻²⁰ bar (Bar)

Femtopascal to Bar Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 fPa 1 × 10⁻²⁰ bar	1 × 10⁻²⁰
5 fPa 5 × 10⁻²⁰ bar	5 × 10⁻²⁰
10 fPa 1 × 10⁻¹⁹ bar	1 × 10⁻¹⁹
50 fPa 5 × 10⁻¹⁹ bar	5 × 10⁻¹⁹
100 fPa 1 × 10⁻¹⁸ bar	1 × 10⁻¹⁸

View Complete 15-Row Femtopascal to Bar 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 Bar (bar) and Femtopascal (fPa):

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

Femtopascal References:

Intergalactic cosmic void deep space vacuum ultra-low particle pressure 1 fPa

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

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

How to Convert Bar to Femtopascal

Converting Bar (bar) to Femtopascal (fPa) 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 1 × 10²⁰ Femtopascal, while 1 fPa equals 1 × 10⁻²⁰ bar.

Direct Factor1 bar = 1 × 10²⁰ fPa

Inverse Ratio1 fPa = 1 × 10⁻²⁰ 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:

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 (k_source):1 bar = 100000 pascal (Pa)

2. Target SI Bridge (k_target):1 fPa = 1 × 10⁻¹⁵ pascal (Pa)

Step-by-step substitution for Bar → Femtopascal:V(fPa) = V(bar) × ( 100000 / 1 × 10⁻¹⁵ ) = V(bar) × 1 × 10²⁰

Mathematical FormulaValue in Femtopascal = Value in Bar × 1 × 10²⁰Direct computational formula applied for standard conversion.

Worked Example

Evaluating an input of 2.5 Bar (bar) produces 2.5 × 10²⁰ Femtopascal (fPa). In heavy-duty utility and industrial workloads, 100 bar equals 1 × 10²² fPa.

Inverse check: 1 fPa = 1 × 10⁻²⁰ bar.

Understanding Bar and Femtopascal

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 Reference	Reference Value	Converted to Femtopascal
Standard atmospheric pressure at sea level (1.01325 bar)	`1 bar`	`1 × 10²⁰ fPa`
Commercial espresso machine coffee extraction group head pressure	`9 bar`	`9 × 10²⁰ fPa`
Standard scuba diving compressed breathing air cylinder pressure	`200 bar`	`2 × 10²² fPa`
Deep ocean floor water pressure at bottom of the Mariana Trench	`1086 bar`	`1.086 × 10²³ fPa`

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 & Hydraulic Thrust

Hydraulic Cylinder & Contact Area Force Bridge (Newtons • Kilonewtons • Meganewtons • Pounds-Force)

Calculate total mechanical actuator force and clamp load F = P × A across standard cylinder bore sizes, bridging fluid pressure [M L⁻¹ T⁻²] with mechanical force [M L T⁻²].

Input System Pressure (P): bar

Select Cylinder Bore Area: 0.0079 m²

Governing Law: F = P × A

Vector: [Pa] × [m²] → [N]

Live Calculated Bridge Equivalent:

1 bar at 100mm Heavy Excavator Boom Cylinder (0.007854 m²) = 785.398 N

Equals 0.7854 kN • 0.0007854 MN • 176.5645 lbf

SI Force

785.398

Newtons

Structural / Civil

0.7854

Kilonewtons

Rocket / Geotechnical

0.0007854

Meganewtons

US Engineering

176.5645

lbf

Pounds-Force

Metric Force

80.0883

kgf

Kilograms-Force

CGS Physics

7.85 × 10⁷

dyn

Dynes

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (Pa):
P = 1 bar × 100000 = 100000 Pa
2. Apply Engineering Parameter (A):
Selected condition: 100mm Heavy Excavator Boom Cylinder (0.007854 m²) at A = 0.007854 m²
3. Execute Governing Physical Law in SI Units:
F = P × A = (100000 Pa) × (0.007854 m²) = 785.398 N
4. Convert to Standard Engineering Units:
• N: 785.398 × 1 = 785.398 N (Newtons) • kN: 785.398 × 0.001 = 0.7854 kN (Kilonewtons) • MN: 785.398 × 1 × 10⁻⁶ = 0.0007854 MN (Meganewtons) • lbf: 785.398 × 0.2248 = 176.5645 lbf (Pounds-Force) • kgf: 785.398 × 0.102 = 80.0883 kgf (Kilograms-Force) • dyn: 785.398 × 100000 = 7.85 × 10⁷ dyn (Dynes)

Explore Full Area Converter →

Engineering Substance / Operating Standard	Parameter Value (m²)	Reference State / Condition	Typical Industrial & Engineering Application
25mm Pneumatic Cylinder (0.000491 m²)	`0.0004909`	0.000491 m²	1-inch pneumatic automation tooling
50mm Hydraulic Ram (0.001963 m²)	`0.001964`	0.001963 m²	2-inch mobile equipment ram
100mm Heavy Excavator Boom Cylinder (0.007854 m²)	`0.007854`	0.007854 m²	4-inch earthmoving boom cylinder
200mm Industrial Stamping Press (0.031416 m²)	`0.03142`	0.031416 m²	8-inch manufacturing stamping ram
500mm Hydroelectric Gate Actuator (0.19635 m²)	`0.1963`	0.19635 m²	20-inch dam gate hydraulic actuator

Frequently Asked Questions

There are exactly 1 × 10²⁰ femtopascals (fPa) in 1 bar (bar). To calculate larger amounts manually, simply multiply your total number of bars by the conversion multiplier of 1 × 10²⁰.

The mathematical formula to convert bars to femtopascals is: [value] * 1 × 10²⁰ = femtopascals. 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 femtopascals back to bars, you must divide your starting value by 1 × 10²⁰. Our bidirectional tool automatically computes this inverse equation the moment you type into the femtopascal input field.

1 Bar is larger than 1 Femtopascal. Specifically, 1 Bar equals exactly 1 × 10²⁰ femtopascals, making it 1 × 10²⁰ times larger (a difference of 20.00 orders of magnitude). Therefore, quantities expressed in femtopascals 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 1 × 10²⁰ Femtopascal (Femtopascal).