How do you calculate hydraulic cylinder force from pressure and bore?

Cylinder force (F in N) equals hydraulic pressure (P in Pascals) multiplied by the piston cross-sectional area (A = π × r² in m²): F = P × A. For a 100mm (0.1m) bore cylinder operating at 200 bar (20,000,000 Pa), force = 20,000,000 × (π × 0.05²) = 157,080 N ≈ 157.1 kN (35,314 lbf or 16.0 metric tons).

What is the formula to convert PSI to cylinder clamp force?

Force in pounds (lbf) = Pressure (PSI) × Area (square inches). A 4-inch bore cylinder has an area of π × 2² ≈ 12.57 in². At 3,000 PSI hydraulic pressure, force = 3,000 × 12.57 = 37,710 lbf (18.85 US tons).

Standard Atmosphere to Exapascal (atm to EPa) Calculator & Formula

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Live Conversion • ISO 80000-4:2019 Certified

1 Standard Atmosphere = 1.01325 × 10⁻¹³ Exapascal

1 atm = 1.01325 × 10⁻¹³ EPa • 1 EPa = 9.869233 × 10¹² atm

Decimals:

Certified Authority Value

0.00000000

EPa

From / Input

atm

Swap to Exapascal to Standard Atmosphere

To / Result

EPa

Quick Values:

1 atm 5 atm 10 atm 25 atm 50 atm 100 atm 250 atm 500 atm 1,000 atm

Conversion Formula

To convert Standard Atmosphere to Exapascal, multiply by 1.01325 × 10⁻¹³

atm × 1.01325 × 10⁻¹³ = EPa

Calculation: 1 atm × 1.01325 × 10⁻¹³ = 1.01325 × 10⁻¹³ EPa

Common Standard Atmosphere to Exapascal Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Standard Atmosphere (atm) and Exapascal (EPa).

Tap any row to calculate

Standard Atmosphere to Exapascal: Primary Direct Table (15 Steps)

Rule: 1 Standard Atmosphere is equal to 1.01325 × 10⁻¹³ EPa (Exapascal)

Standard Atmosphere to Exapascal Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 atm is equal to 1.01325 × 10⁻¹⁶ EPa (Exapascal)	1.013 × 10⁻¹⁶
0.01 atm is equal to 1.01325 × 10⁻¹⁵ EPa (Exapascal)	1.013 × 10⁻¹⁵
0.1 atm is equal to 1.01325 × 10⁻¹⁴ EPa (Exapascal)	1.013 × 10⁻¹⁴
0.5 atm is equal to 5.06625 × 10⁻¹⁴ EPa (Exapascal)	5.066 × 10⁻¹⁴
1 atm is equal to 1.01325 × 10⁻¹³ EPa (Exapascal)	1.013 × 10⁻¹³
2 atm is equal to 2.0265 × 10⁻¹³ EPa (Exapascal)	2.026 × 10⁻¹³
5 atm is equal to 5.06625 × 10⁻¹³ EPa (Exapascal)	5.066 × 10⁻¹³
10 atm is equal to 1.01325 × 10⁻¹² EPa (Exapascal)	1.013 × 10⁻¹²
20 atm is equal to 2.0265 × 10⁻¹² EPa (Exapascal)	2.026 × 10⁻¹²
25 atm is equal to 2.533125 × 10⁻¹² EPa (Exapascal)	2.533 × 10⁻¹²
50 atm is equal to 5.06625 × 10⁻¹² EPa (Exapascal)	5.066 × 10⁻¹²
100 atm is equal to 1.01325 × 10⁻¹¹ EPa (Exapascal)	1.013 × 10⁻¹¹
250 atm is equal to 2.533125 × 10⁻¹¹ EPa (Exapascal)	2.533 × 10⁻¹¹
500 atm is equal to 5.06625 × 10⁻¹¹ EPa (Exapascal)	5.066 × 10⁻¹¹
1000 atm is equal to 1.01325 × 10⁻¹⁰ EPa (Exapascal)	1.013 × 10⁻¹⁰

Exapascal to Standard Atmosphere: Reciprocal Summary

Rule: 1 Exapascal is equal to 9.869233 × 10¹² atm (Standard Atmosphere)

Exapascal to Standard Atmosphere Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 EPa is equal to 9.869233 × 10¹² atm (Standard Atmosphere)	9.869 × 10¹²
5 EPa is equal to 4.934616 × 10¹³ atm (Standard Atmosphere)	4.935 × 10¹³
10 EPa is equal to 9.869233 × 10¹³ atm (Standard Atmosphere)	9.869 × 10¹³
50 EPa is equal to 4.934616 × 10¹⁴ atm (Standard Atmosphere)	4.935 × 10¹⁴
100 EPa is equal to 9.869233 × 10¹⁴ atm (Standard Atmosphere)	9.869 × 10¹⁴

View Complete 15-Row Exapascal to Standard Atmosphere 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 Standard Atmosphere (atm) and Exapascal (EPa):

Standard Atmosphere References:

Standard mean international atmospheric air pressure at sea level and 15°C 1 atm
Water pressure increase experienced by deep-sea scuba diver per 10 meters of depth 1 atm

Exapascal References:

Extreme theoretical degenerate matter core pressure inside a neutron star 100 EPa

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

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

How to Convert Standard Atmosphere to Exapascal

Converting Standard Atmosphere (atm) to Exapascal (EPa) is a core calculation in Pressure and Stress, which measures the perpendicular force exerted by a fluid or contact load per unit surface area. Because Exapascal is a broader physical scale than Standard Atmosphere, converting from atm to EPa condenses the numerical figure. It takes 9.869233 × 10¹² Standard Atmosphere to equal a single Exapascal (1 atm = 1.01325 × 10⁻¹³ EPa). To convert any quantity, multiply by 1.01325 × 10⁻¹³ (or divide by 9.869233 × 10¹²).

Direct Factor1 atm = 1.01325 × 10⁻¹³ EPa

Inverse Ratio1 EPa = 9.869233 × 10¹² atm

Conversion ScaleDirect Proportional Magnitude Compression

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 atm = 101325 pascal (Pa)

2. Target SI Bridge (k_target):1 EPa = 1 × 10¹⁸ pascal (Pa)

Step-by-step substitution for Standard Atmosphere → Exapascal:V(EPa) = V(atm) × ( 101325 / 1 × 10¹⁸ ) = V(atm) × 1.01325 × 10⁻¹³

Mathematical FormulaValue in Exapascal = Value in Standard Atmosphere × 1.01325 × 10⁻¹³Direct computational formula applied for standard conversion.

Worked Example

To convert 120 Standard Atmosphere (atm) to Exapascal (EPa): multiply 120 by 1.01325 × 10⁻¹³ to get 1.2159 × 10⁻¹¹ EPa. At an industrial engineering scale, 2500 atm converts to 2.533125 × 10⁻¹⁰ EPa.

Inverse check: 1 EPa = 9.869233 × 10¹² atm.

Understanding Standard Atmosphere and Exapascal

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 Exapascal
Standard mean international atmospheric air pressure at sea level and 15°C	`1 atm`	`1.01325 × 10⁻¹³ EPa`
Water pressure increase experienced by deep-sea scuba diver per 10 meters of depth	`1 atm`	`1.01325 × 10⁻¹³ EPa`

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.

Input System Pressure (P): atm

Select Cylinder Bore / Contact Geometry: 0.0079 m²

Coupling: F = P × A

Forward Reverse

Live Calculated Bridge Equivalent:

1 atm at 100mm (4-inch) Standard Industrial Hydraulic Bore = 0.7958 kN

Equals 178.9044 lbf • 0.08115 t-force • 795.8066 N

Civil & Press Metric

0.7958

Kilonewtons

US Hydraulic Standard

178.9044

lbf

Pounds-Force

Press Capacity

0.08115

t-force

Metric Tons Force

SI Standard

795.8066

Newtons

US Press Rating

0.08945

ton-force (US)

Short Tons Force

Workshop Standard

81.1497

kgf

Kilograms-Force

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (Pa):
P = 1 atm × 101325 = 101325 Pa
2. Apply Engineering Parameter (A):
Selected condition: 100mm (4-inch) Standard Industrial Hydraulic Bore at A = 0.007854 m²
3. Execute Governing Physical Law in SI Units:
F = P × A = (101325) × (0.007854) = 795.80655 N
4. Convert to Standard Engineering Units:
• kN: 795.80655 × 0.001 = 0.7958 kN (Kilonewtons) • lbf: 795.80655 × 0.2248 = 178.9044 lbf (Pounds-Force) • t-force: 795.80655 × 0.000102 = 0.08115 t-force (Metric Tons Force) • N: 795.80655 × 1 = 795.8066 N (Newtons) • ton-force (US): 795.80655 × 0.0001124 = 0.08945 ton-force (US) (Short Tons Force) • kgf: 795.80655 × 0.102 = 81.1497 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

Frequently Asked Questions

There are exactly 1.01325 × 10⁻¹³ exapascals (EPa) in 1 standard atmosphere (atm). To calculate larger amounts manually, simply multiply your total number of standard atmospheres by the conversion multiplier of 1.01325 × 10⁻¹³.

The mathematical formula to convert standard atmospheres to exapascals is: [value] * 1.01325 × 10⁻¹³ = exapascals. 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 exapascals back to standard atmospheres, you must divide your starting value by 1.01325 × 10⁻¹³. Our bidirectional tool automatically computes this inverse equation the moment you type into the exapascal input field.

1 Exapascal is larger than 1 Standard Atmosphere. Specifically, 1 Standard Atmosphere equals 1.01325 × 10⁻¹³ exapascals, meaning 1 Exapascal is 9.8692 × 10¹² times larger than 1 Standard Atmosphere (a difference of 12.99 orders of magnitude). Expressing measurements in standard atmospheres requires a larger numerical value to represent the equivalent physical magnitude.

A typical standard mean international atmospheric air pressure at sea level and 15°C measures 1 atm, which corresponds to 1.0132 × 10⁻¹³ Exapascal (Exapascal).

There are 1.01325 × 10⁻¹³ Exapascal in 1 Standard Atmosphere (1 atm = 1.01325 × 10⁻¹³ EPa).

The conversion formula is V(EPa) = V(atm) × 1.01325 × 10⁻¹³.

To convert in reverse, use the formula V(atm) = V(EPa) × 9.86923 × 10¹².

Exapascals (10¹⁸ Pa) are extreme pressure units used in theoretical physics, placing atmospheric pressure at a microscopic scale.

Related Standard Atmosphere and Exapascal Conversions

Convert Standard Atmosphere to Other Units

Standard Atmosphere to Pascal Standard Atmosphere to Kilopascal Standard Atmosphere to Bar Standard Atmosphere to Pound/sq. inch Standard Atmosphere to Kilopound/sq. inch Standard Atmosphere to Petapascal Standard Atmosphere to Terapascal Standard Atmosphere to Gigapascal Standard Atmosphere to Megapascal Standard Atmosphere to Hectopascal Standard Atmosphere to Dekapascal Standard Atmosphere to Decipascal

Convert Other Units to Exapascal

Pascal to Exapascal Kilopascal to Exapascal Bar to Exapascal Pound/sq. inch to Exapascal Kilopound/sq. inch to Exapascal Petapascal to Exapascal Terapascal to Exapascal Gigapascal to Exapascal Megapascal to Exapascal Hectopascal to Exapascal Dekapascal to Exapascal Decipascal to Exapascal

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