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

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Live Conversion • ISO 80000-4:2019 Certified
1 Gallon (US)/second = 13.62748242 Cubic meter/hour
1 gal (US)/s = 13.627482 m³/h • 1 m³/h = 0.0733811 gal (US)/s
Gallon (US)/second to Cubic meter/hour: One Gallon (US)/second is equal to 13.62748242 Cubic Meters/hour.
Certified Authority Value
13.62748242
m³/h
Exact: 1 m³/h ≡ 0.07338112566 gal (US)/s
gal (US)/s
gal (US)/s
Swap to Cubic meter/hour to Gallon (US)/second
Swap to Cubic meter/hour to Gallon (US)/second
m³/h
m³/h 13.62748242
Quick Values:
Conversion Formula
To convert Gallon (US)/second to Cubic meter/hour, multiply by 13.62748242
gal (US)/s × 13.62748242 = m³/h

Calculation: 1 gal (US)/s × 13.62748242 = 13.62748242 m³/h

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

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

Tap any row to calculate
Gallon (US)/second to Cubic meter/hour: Primary Direct Table (15 Steps)
Gallon (US)/second to Cubic meter/hour Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 gal (US)/s 0.0136275 m³/h 1.363 × 10⁻²
0.01 gal (US)/s 0.136275 m³/h 1.363 × 10⁻¹
0.1 gal (US)/s 1.362748 m³/h 1.363 × 10⁰
0.5 gal (US)/s 6.813741 m³/h 6.814 × 10⁰
1 gal (US)/s 13.627482 m³/h 1.363 × 10¹
2 gal (US)/s 27.254965 m³/h 2.725 × 10¹
5 gal (US)/s 68.137412 m³/h 6.814 × 10¹
10 gal (US)/s 136.274824 m³/h 1.363 × 10²
20 gal (US)/s 272.549648 m³/h 2.725 × 10²
25 gal (US)/s 340.687061 m³/h 3.407 × 10²
50 gal (US)/s 681.374121 m³/h 6.814 × 10²
100 gal (US)/s 1362.748242 m³/h 1.363 × 10³
250 gal (US)/s 3406.870606 m³/h 3.407 × 10³
500 gal (US)/s 6813.741211 m³/h 6.814 × 10³
1000 gal (US)/s 13627.482422 m³/h 1.363 × 10⁴
Cubic meter/hour to Gallon (US)/second: Reciprocal Summary
Cubic meter/hour to Gallon (US)/second Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 m³/h 0.0733811 gal (US)/s 7.338 × 10⁻²
5 m³/h 0.366906 gal (US)/s 3.669 × 10⁻¹
10 m³/h 0.733811 gal (US)/s 7.338 × 10⁻¹
50 m³/h 3.669056 gal (US)/s 3.669 × 10⁰
100 m³/h 7.338113 gal (US)/s 7.338 × 10⁰
View Complete 15-Row Cubic meter/hour to Gallon (US)/second 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 Gallon (US)/second (gal (US)/s) and Cubic meter/hour (m³/h):

Gallon (US)/second References:

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

Tap any benchmark above to automatically calculate its exact equivalent in Cubic meter/hour.

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

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

Converting Gallon (US)/second (gal (US)/s) to Cubic meter/hour (m³/h) 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 Gallon (US)/second equals 13.627482 Cubic meter/hour, while 1 m³/h equals 0.0733811 gal (US)/s.

Direct Factor1 gal (US)/s = 13.627482 m³/h
Inverse Ratio1 m³/h = 0.0733811 gal (US)/s
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 gal (US)/s = 0.00378541 cubic meter per second (m³/s)
2. Target SI Bridge (ktarget):1 m³/h = 0.000277778 cubic meter per second (m³/s)
Step-by-step substitution for Gallon (US)/second → Cubic meter/hour:V(m³/h) = V(gal (US)/s) × ( 0.00378541 / 0.000277778 ) = V(gal (US)/s) × 13.627482
Mathematical FormulaValue in Cubic meter/hour = Value in Gallon (US)/second × 13.62748242Direct computational formula applied for standard conversion.
Worked Example

To convert 2.5 Gallon (US)/second (gal (US)/s) to Cubic meter/hour (m³/h): multiply 2.5 by 13.627482 to get 34.068706 m³/h. At an industrial engineering scale, 10000 gal (US)/s converts to 136274.824224 m³/h.

Inverse check: 1 m³/h = 0.0733811 gal (US)/s.

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

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

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

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 Cubic meter/hour
Municipal fire department pumper truck deluge deck master monitor water stream (20 gps)20 gal/s272.549648 m³/h
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 gal (US)/s at Water (20°C / Standard Ambient) = 3.7786 kg/s
Equals 13602.953 kg/h • 8.3304 lb/s • 29989.38 lb/h
SI Mass Flow
3.7786
kg/s
Kilograms per Second
Industrial Process
13602.953
kg/h
Kilograms per Hour
US Mass Flow
8.3304
lb/s
Pounds per Second
Boiler / Turbine Rating
29989.38
lb/h
Pounds per Hour
Heavy Plant Header
13.603
t/h
Metric Tons per Hour
Chemical / Laboratory
3778.598
g/s
Grams per Second
  1. 1. Normalize Input to SI Base Unit (m³/s):
    Q = 1 gal (US)/s × 0.00378541 = 0.00378541 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 = (0.00378541 m³/s) × (998.2 kg/m³) = 3.778598 kg/s
  4. 4. Convert to Standard Engineering Units:
    • kg/s: 3.778598 × 1 = 3.7786 kg/s (Kilograms per Second) • kg/h: 3.778598 × 3600 = 13602.953 kg/h (Kilograms per Hour) • lb/s: 3.778598 × 2.2046 = 8.3304 lb/s (Pounds per Second) • lb/h: 3.778598 × 7936.6414 = 29989.38 lb/h (Pounds per Hour) • t/h: 3.778598 × 3.6 = 13.603 t/h (Metric Tons per Hour) • g/s: 3.778598 × 1000 = 3778.598 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 13.62748242 cubic meters/hour (m³/h) in 1 gallon (us)/second (gal (US)/s). To calculate larger amounts manually, simply multiply your total number of gallons (us)/second by the conversion multiplier of 13.62748242.

The mathematical formula to convert gallons (us)/second to cubic meters/hour is: [value] * 13.62748242 = cubic meters/hour. 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 cubic meters/hour back to gallons (us)/second, you must divide your starting value by 13.62748242. Our bidirectional tool automatically computes this inverse equation the moment you type into the cubic meter/hour input field.

1 Gallon (US)/second is larger than 1 Cubic meter/hour. Specifically, 1 Gallon (US)/second equals exactly 13.62748242 cubic meters/hour, making it 13.6275 times larger (a difference of 1.13 orders of magnitude). Therefore, quantities expressed in cubic meters/hour require a larger numerical value to represent the same physical amount.

A typical municipal fire department pumper truck deluge deck master monitor water stream (20 gps) measures 20 gal/s, which corresponds to 272.5496 Cubic Meter Per Hour (Cubic meter/hour).

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