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Cubic Meters/hour to Gallons (us)/second Converter (m³/h to gal (US)/s)

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Live Conversion • ISO 80000-4:2019 Certified
1 Cubic meter/hour = 0.073381126 Gallon (US)/second
1 m³/h = 0.0733811 gal (US)/s • 1 gal (US)/s = 13.627482 m³/h
Cubic meter/hour to Gallon (US)/second: One Cubic meter/hour is equal to 0.073381126 Gallons (us)/second.
Certified Authority Value
0.07338113
gal (US)/s
Exact: 1 gal (US)/s ≡ 13.6274824224 m³/h
m³/h
m³/h
Swap to Gallon (US)/second to Cubic meter/hour
Swap to Gallon (US)/second to Cubic meter/hour
gal (US)/s
gal (US)/s 0.073381126
Quick Values:
Conversion Formula
To convert Cubic meter/hour to Gallon (US)/second, multiply by 0.073381126
m³/h × 0.073381126 = gal (US)/s

Calculation: 1 m³/h × 0.073381126 = 0.073381126 gal (US)/s

Common Cubic meter/hour to Gallon (US)/second Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Cubic meter/hour (m³/h) and Gallon (US)/second (gal (US)/s).

Tap any row to calculate
Cubic meter/hour to Gallon (US)/second: Primary Direct Table (15 Steps)
Cubic meter/hour to Gallon (US)/second Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 m³/h 7.338113 × 10⁻⁵ gal (US)/s 7.338 × 10⁻⁵
0.01 m³/h 0.000733811 gal (US)/s 7.338 × 10⁻⁴
0.1 m³/h 0.00733811 gal (US)/s 7.338 × 10⁻³
0.5 m³/h 0.0366906 gal (US)/s 3.669 × 10⁻²
1 m³/h 0.0733811 gal (US)/s 7.338 × 10⁻²
2 m³/h 0.146762 gal (US)/s 1.468 × 10⁻¹
5 m³/h 0.366906 gal (US)/s 3.669 × 10⁻¹
10 m³/h 0.733811 gal (US)/s 7.338 × 10⁻¹
20 m³/h 1.467623 gal (US)/s 1.468 × 10⁰
25 m³/h 1.834528 gal (US)/s 1.835 × 10⁰
50 m³/h 3.669056 gal (US)/s 3.669 × 10⁰
100 m³/h 7.338113 gal (US)/s 7.338 × 10⁰
250 m³/h 18.345281 gal (US)/s 1.835 × 10¹
500 m³/h 36.690563 gal (US)/s 3.669 × 10¹
1000 m³/h 73.381126 gal (US)/s 7.338 × 10¹
Gallon (US)/second to Cubic meter/hour: Reciprocal Summary
Gallon (US)/second to Cubic meter/hour Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 gal (US)/s 13.627482 m³/h 1.363 × 10¹
5 gal (US)/s 68.137412 m³/h 6.814 × 10¹
10 gal (US)/s 136.274824 m³/h 1.363 × 10²
50 gal (US)/s 681.374121 m³/h 6.814 × 10²
100 gal (US)/s 1362.748242 m³/h 1.363 × 10³
View Complete 15-Row Gallon (US)/second to Cubic meter/hour 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 Cubic meter/hour (m³/h) and Gallon (US)/second (gal (US)/s):

Cubic meter/hour References:

  • Municipal street fire hydrant flow test inspection discharge capacity 200 m³/h
  • Residential swimming pool diatomaceous earth filtration pump circulation 15 m³/h

Gallon (US)/second References:

  • Municipal fire department pumper truck deluge deck master monitor water stream (20 gps) 20 gal/s

Tap any benchmark above to automatically calculate its exact equivalent in Gallon (US)/second.

ISQ Dimension: [L³ T⁻¹] Coherent SI Unit: cubic meter per second (m³/s) Fluid Dynamics & Rheology

How to Convert Cubic meter/hour to Gallon (US)/second

Converting Cubic meter/hour (m³/h) to Gallon (US)/second (gal (US)/s) is a core calculation in Volumetric Flow Rate, which quantifies the volume of fluid passing through a designated conduit cross-section per unit of time. 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 Cubic meter/hour equals 0.0733811 Gallon (US)/second, while 1 gal (US)/s equals 13.627482 m³/h.

Direct Factor1 m³/h = 0.0733811 gal (US)/s
Inverse Ratio1 gal (US)/s = 13.627482 m³/h
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 (cubic meter per second (m³/s)) 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 m³/h = 0.000277778 cubic meter per second (m³/s)
2. Target SI Bridge (ktarget):1 gal (US)/s = 0.00378541 cubic meter per second (m³/s)
Step-by-step substitution for Cubic meter/hour → Gallon (US)/second:V(gal (US)/s) = V(m³/h) × ( 0.000277778 / 0.00378541 ) = V(m³/h) × 0.0733811
Mathematical FormulaValue in Gallon (US)/second = Value in Cubic meter/hour × 0.073381126Direct computational formula applied for standard conversion.
Worked Example

To convert 2.5 Cubic meter/hour (m³/h) to Gallon (US)/second (gal (US)/s): multiply 2.5 by 0.0733811 to get 0.183453 gal (US)/s. At an industrial engineering scale, 100 m³/h converts to 7.338113 gal (US)/s.

Inverse check: 1 gal (US)/s = 13.627482 m³/h.

Understanding Cubic meter/hour and Gallon (US)/second

Cubic meter/hour

m³/h
Standard Unit

A Cubic meter/hour (m³/h) is a recognized unit for volumetric flow rate.

Applications & Practical Context

In practical flow terms, a municipal street fire hydrant flow test inspection discharge capacity equals 200 m³/h, a residential swimming pool diatomaceous earth filtration pump circulation equals 15 m³/h.

Physical Setup

A physical magnitude of 1 m³/h corresponds to 0.000277778 m³/s in standard SI measurement.

Conversion to SI Unit: cubic meter per second (m³/s)
1 m³/h = 0.000277778 m³/s

Gallon (US)/second

gal (US)/s
Imperial / US

A Gallon (US)/second (gal (US)/s) is an imperial and US customary unit for volumetric flow rate.

Applications & Practical Context

In practical flow terms, a municipal fire department pumper truck deluge deck master monitor water stream (20 gps) equals 20 gal/s.

Physical Setup

A physical magnitude of 1 gal (US)/s corresponds to 0.00378541 m³/s in standard SI measurement.

Conversion to SI Unit: cubic meter per second (m³/s)
1 gal (US)/s = 0.00378541 m³/s

Domain Metrology & Engineering Applications

Governing Law & Equation

Hydrodynamic Continuity Equation (Q = A · v̄)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using electromagnetic inductive flowmeters, ultrasonic transit-time meters, turbine flowmeters, and differential orifice plates.

Primary Industry Sectors

Applied across municipal water supply distribution, chemical process loops, oil & gas pipeline custody transfer, and HVAC hydronic balancing under international metrology standard ISO 80000-4:2019, ASME MFC-3M.

Physical Orders of Magnitude & Laboratory Reference Benchmarks

Physical Phenomenon / Engineering ReferenceReference ValueConverted to Gallon (US)/second
Municipal street fire hydrant flow test inspection discharge capacity200 m³/h14.676225 gal (US)/s
Residential swimming pool diatomaceous earth filtration pump circulation15 m³/h1.100717 gal (US)/s
Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-4:2019, ASME MFC-3M and the BIPM SI Brochure (9th Edition). Governed by Hydrodynamic Continuity Equation (Q = A · v̄) under ISO 80000 dimensional vector [L³ T⁻¹].

Multi-Variable Engineering Bridge Fluid Continuity & Mass Flux

Volumetric to Mass Flow Continuity Bridge (kg/s • kg/h • lb/s • lb/h • t/h • g/s)

Convert volumetric flow rate (Q) directly into physical mass flow rate (ṁ) across process fluids using the continuity relation ṁ = ρ × Q, bridging volume flow [L³ T⁻¹] and mass flow [M T⁻¹] via density (ρ).

ṁ = ρ × Q
Vector: [m³/s] × [kg/m³] → [kg/s]
Live Calculated Bridge Equivalent:
1 m³/h at Water (20°C / Standard Ambient) = 0.2773 kg/s
Equals 998.2 kg/h • 0.6113 lb/s • 2200.65 lb/h
SI Mass Flow
0.2773
kg/s
Kilograms per Second
Industrial Process
998.2
kg/h
Kilograms per Hour
US Mass Flow
0.6113
lb/s
Pounds per Second
Boiler / Turbine Rating
2200.65
lb/h
Pounds per Hour
Heavy Plant Header
0.9982
t/h
Metric Tons per Hour
Chemical / Laboratory
277.2778
g/s
Grams per Second
  1. 1. Normalize Input to SI Base Unit (m³/s):
    Q = 1 m³/h × 0.00027778 = 0.00027778 m³/s
  2. 2. Apply Engineering Parameter (ρ):
    Selected condition: Water (20°C / Standard Ambient) at ρ = 998.2 kg/m³
  3. 3. Execute Governing Physical Law in SI Units:
    ṁ = ρ × Q = (0.00027778 m³/s) × (998.2 kg/m³) = 0.277278 kg/s
  4. 4. Convert to Standard Engineering Units:
    • kg/s: 0.277278 × 1 = 0.2773 kg/s (Kilograms per Second) • kg/h: 0.277278 × 3600 = 998.2 kg/h (Kilograms per Hour) • lb/s: 0.277278 × 2.2046 = 0.6113 lb/s (Pounds per Second) • lb/h: 0.277278 × 7936.6414 = 2200.65 lb/h (Pounds per Hour) • t/h: 0.277278 × 3.6 = 0.9982 t/h (Metric Tons per Hour) • g/s: 0.277278 × 1000 = 277.2778 g/s (Grams per Second)
Explore Full Density Converter →
Engineering Substance / Operating Standard Parameter Value (kg/m³) Reference State / Condition Typical Industrial & Engineering Application
Water (20°C / Standard Ambient) 998.2 998.2 kg/m³ HVAC hydronic & cooling water
Diesel Fuel (EN 590 / 20°C) 832 832.0 kg/m³ Generator & marine diesel consumption
Gasoline / Petrol (15°C) 740 740.0 kg/m³ Automotive fuel injection lines
Hydraulic Fluid (ISO VG 46) 870 870.0 kg/m³ Hydraulic power pack pumps
Air (Standard Ambient / NTP 20°C) 1.204 1.204 kg/m³ HVAC ductwork & compressor air
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Frequently Asked Questions

There are exactly 0.073381126 gallons (us)/second (gal (US)/s) in 1 cubic meter/hour (m³/h). To calculate larger amounts manually, simply multiply your total number of cubic meters/hour by the conversion multiplier of 0.073381126.

The mathematical formula to convert cubic meters/hour to gallons (us)/second is: [value] * 0.073381126 = gallons (us)/second. 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 gallons (us)/second back to cubic meters/hour, you must divide your starting value by 0.073381126. Our bidirectional tool automatically computes this inverse equation the moment you type into the gallon (us)/second input field.

1 Gallon (US)/second is larger than 1 Cubic meter/hour. Specifically, 1 Cubic meter/hour equals 0.073381126 gallons (us)/second, meaning 1 Gallon (US)/second is 13.6275 times larger than 1 Cubic meter/hour (a difference of 1.13 orders of magnitude). Expressing measurements in cubic meters/hour requires a larger numerical value to represent the equivalent physical magnitude.

A typical municipal street fire hydrant flow test inspection discharge capacity measures 200 m³/h, which corresponds to 14.6762 Gallon Us Per Second (Gallon (US)/second).

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