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Gallon (US)/minute to Cubic meter/second (gal (US)/min to m³/s) Calculator

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Live Conversion • ISO 80000-4:2019 Certified
1 Gallon (US)/minute = 6.30901964 × 10⁻⁵ Cubic meter/second
1 gal (US)/min = 6.30902 × 10⁻⁵ m³/s • 1 m³/s = 15850.323141 gal (US)/min
Gallon (US)/minute to Cubic meter/second: One Gallon (US)/minute is equal to 6.30901964 × 10⁻⁵ Cubic Meters/second.
Certified Authority Value
0.00006309
m³/s
Exact: 1 m³/s ≡ 15850.3231414889 gal (US)/min
gal (US)/min
gal (US)/min
Swap to Cubic meter/second to Gallon (US)/minute
m³/s
m³/s 6.30901964 × 10⁻⁵
Quick Values:
1 gal (US)/min 5 gal (US)/min 10 gal (US)/min 25 gal (US)/min 50 gal (US)/min 100 gal (US)/min 250 gal (US)/min 500 gal (US)/min 1,000 gal (US)/min
Conversion Formula
To convert Gallon (US)/minute to Cubic meter/second, multiply by 6.30901964 × 10⁻⁵
gal (US)/min × 6.30901964 × 10⁻⁵ = m³/s

Calculation: 1 gal (US)/min × 6.30901964 × 10⁻⁵ = 6.30901964 × 10⁻⁵ m³/s

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

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

Tap any row to calculate
Gallon (US)/minute to Cubic meter/second: Primary Direct Table (15 Steps)
Gallon (US)/minute to Cubic meter/second Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 gal (US)/min is equal to 6.30902 × 10⁻⁸ m³/s (Cubic meter/second) 6.309 × 10⁻⁸
0.01 gal (US)/min is equal to 6.30902 × 10⁻⁷ m³/s (Cubic meter/second) 6.309 × 10⁻⁷
0.1 gal (US)/min is equal to 6.30902 × 10⁻⁶ m³/s (Cubic meter/second) 6.309 × 10⁻⁶
0.5 gal (US)/min is equal to 3.15451 × 10⁻⁵ m³/s (Cubic meter/second) 3.155 × 10⁻⁵
1 gal (US)/min is equal to 6.30902 × 10⁻⁵ m³/s (Cubic meter/second) 6.309 × 10⁻⁵
2 gal (US)/min is equal to 0.00012618 m³/s (Cubic meter/second) 1.262 × 10⁻⁴
5 gal (US)/min is equal to 0.000315451 m³/s (Cubic meter/second) 3.155 × 10⁻⁴
10 gal (US)/min is equal to 0.000630902 m³/s (Cubic meter/second) 6.309 × 10⁻⁴
20 gal (US)/min is equal to 0.0012618 m³/s (Cubic meter/second) 1.262 × 10⁻³
25 gal (US)/min is equal to 0.00157725 m³/s (Cubic meter/second) 1.577 × 10⁻³
50 gal (US)/min is equal to 0.00315451 m³/s (Cubic meter/second) 3.155 × 10⁻³
100 gal (US)/min is equal to 0.00630902 m³/s (Cubic meter/second) 6.309 × 10⁻³
250 gal (US)/min is equal to 0.0157725 m³/s (Cubic meter/second) 1.577 × 10⁻²
500 gal (US)/min is equal to 0.0315451 m³/s (Cubic meter/second) 3.155 × 10⁻²
1000 gal (US)/min is equal to 0.0630902 m³/s (Cubic meter/second) 6.309 × 10⁻²
Cubic meter/second to Gallon (US)/minute: Reciprocal Summary
Cubic meter/second to Gallon (US)/minute Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 m³/s is equal to 15850.323141 gal (US)/min (Gallon (US)/minute) 1.585 × 10⁴
5 m³/s is equal to 79251.615707 gal (US)/min (Gallon (US)/minute) 7.925 × 10⁴
10 m³/s is equal to 158503.231415 gal (US)/min (Gallon (US)/minute) 1.585 × 10⁵
50 m³/s is equal to 792516.157074 gal (US)/min (Gallon (US)/minute) 7.925 × 10⁵
100 m³/s is equal to 1585032.314149 gal (US)/min (Gallon (US)/minute) 1.585 × 10⁶
View Complete 15-Row Cubic meter/second to Gallon (US)/minute 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)/minute (gal (US)/min) and Cubic meter/second (m³/s):

Gallon (US)/minute References:

  • EPA WaterSense certified residential bathroom sink faucet flow limit (1.5 gpm) 1.5 gpm
  • Standard residential outdoor garden hose discharge delivery flow rate (5 gpm) 5 gpm
  • Commercial building automatic fire sprinkler head water discharge rate (25 gpm) 25 gpm
  • Fire department commercial attack line firefighting hose water delivery (150 gpm) 150 gpm

Cubic meter/second References:

  • Niagara Falls combined average tourist daytime river discharge flow rate 2400 m³/s
  • Amazon River mouth discharge into Atlantic Ocean (world largest river) 209000 m³/s
  • Municipal regional wastewater treatment plant peak sewage inflow rate 1 m³/s

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

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

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

Converting Gallon (US)/minute (gal (US)/min) to Cubic meter/second (m³/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 Gallon (US)/minute equals 6.30902 × 10⁻⁵ Cubic meter/second, while 1 m³/s equals 15850.323141 gal (US)/min.

Direct Factor1 gal (US)/min = 6.30902 × 10⁻⁵ m³/s
Inverse Ratio1 m³/s = 15850.323141 gal (US)/min
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)/min = 6.30902 × 10⁻⁵ cubic meter per second (m³/s)
2. Target SI Bridge (ktarget):1 m³/s = 1 cubic meter per second (m³/s)
Step-by-step substitution for Gallon (US)/minute → Cubic meter/second:V(m³/s) = V(gal (US)/min) × ( 6.30902 × 10⁻⁵ / 1 ) = V(gal (US)/min) × 6.30902 × 10⁻⁵
Mathematical FormulaValue in Cubic meter/second = Value in Gallon (US)/minute × 6.30901964 × 10⁻⁵Direct computational formula applied for standard conversion.
Worked Example

Converting 8 gal (US)/min yields an exact output of 0.000504722 m³/s in Cubic meter/second. Under higher industrial throughput, 2500 gal (US)/min translates to 0.157725 m³/s.

Inverse check: 1 m³/s = 15850.323141 gal (US)/min.

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

Gallon (US)/minute

gal (US)/min
Imperial / US

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

Applications & Practical Context

In practical flow terms, a EPA WaterSense certified residential bathroom sink faucet flow limit (1.5 gpm) equals 1.5 gpm, a standard residential outdoor garden hose discharge delivery flow rate (5 gpm) equals 5 gpm, a commercial building automatic fire sprinkler head water discharge rate (25 gpm) equals 25 gpm.

Physical Setup

A physical magnitude of 1 gal (US)/min corresponds to 6.30902 × 10⁻⁵ m³/s in standard SI measurement.

Conversion to SI Unit: cubic meter per second (m³/s)
1 gal (US)/min = 6.30902 × 10⁻⁵ m³/s

Cubic meter/second

m³/s
SI Base Standard

A Cubic meter/second (m³/s) is the official base standard unit for volumetric flow rate.

Applications & Practical Context

In practical flow terms, a niagara Falls combined average tourist daytime river discharge flow rate equals 2400 m³/s, a amazon River mouth discharge into Atlantic Ocean (world largest river) equals 209000 m³/s, a municipal regional wastewater treatment plant peak sewage inflow rate equals 1 m³/s.

Physical Setup

A flow rate of 1 m³/s represents 1 Cubic meter/second of fluid volume flowing through a pipe or channel every elapsed second.

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

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/second
EPA WaterSense certified residential bathroom sink faucet flow limit (1.5 gpm)1.5 gpm9.463529 × 10⁻⁵ m³/s
Standard residential outdoor garden hose discharge delivery flow rate (5 gpm)5 gpm0.000315451 m³/s
Commercial building automatic fire sprinkler head water discharge rate (25 gpm)25 gpm0.00157725 m³/s
Fire department commercial attack line firefighting hose water delivery (150 gpm)150 gpm0.00946353 m³/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 Precision Fluid Continuity

Volumetric Flow & Fluid Continuity Bridge (GPM • CFM • m³/h • L/min • L/s • ft³/h)

Directly convert mass flow rate (ṁ) into volumetric flow (Q) across process fluids using the thermodynamic continuity equation ṁ = ρ × Q, bridging mass flow [M T⁻¹] and volumetric flow [L³ T⁻¹] via fluid density (ρ).

Q = ṁ / ρ
Live Calculated Bridge Equivalent:
1 gal (US)/min at Water (20°C / Standard Ambient) = 0.001002 GPM
Equals 0.0001339 CFM • 0.0002275 m³/h • 0.003792 L/min
US Pump Standard
0.001002
GPM
US Gallons per Minute
Air / Gas Flow
0.0001339
CFM
Cubic Feet per Minute
Metric Standard
0.0002275
m³/h
Cubic Meters per Hour
Hydraulics & Lab
0.003792
L/min
Liters per Minute
High Volume
6.3204 × 10⁻⁵
L/s
Liters per Second
Burners & Fuel
0.008
ft³/h
Cubic Feet per Hour
  1. 1. Normalize Input to SI Base Unit (kg/s):
    ṁ = 1 gal (US)/min × 6.30901964 × 10⁻⁵ = 6.30901964 × 10⁻⁵ kg/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:
    Q = ṁ / ρ = (6.30901964 × 10⁻⁵) ÷ (998.2) = 6.320396 × 10⁻⁸ m³/s
  4. 4. Convert to Standard Engineering Units:
    • GPM: 6.320396 × 10⁻⁸ × 15850.3231 = 0.001002 GPM (US Gallons per Minute) • CFM: 6.320396 × 10⁻⁸ × 2118.88 = 0.0001339 CFM (Cubic Feet per Minute) • m³/h: 6.320396 × 10⁻⁸ × 3600 = 0.0002275 m³/h (Cubic Meters per Hour) • L/min: 6.320396 × 10⁻⁸ × 60000 = 0.003792 L/min (Liters per Minute) • L/s: 6.320396 × 10⁻⁸ × 1000 = 6.3204 × 10⁻⁵ L/s (Liters per Second) • ft³/h: 6.320396 × 10⁻⁸ × 127132.8002 = 0.008 ft³/h (Cubic Feet per Hour)
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 20°C (68°F), 1 atm Hydronic HVAC & cooling water (NIST)
Water (4°C / Maximum Density) 1000 4°C (39.2°F), 1 atm Pure metrology reference standard (SG = 1.0)
Water (100°C / Saturated Liquid) 958.4 100°C (212°F), 1 atm Boiler condensate returns & district hot water
Saturated Steam (100°C, 1 atm) 0.5977 100°C, 1.01325 bar Boiler steam piping & relief headers (IAPWS-97)
Air (Standard Ambient / NTP 20°C) 1.204 20°C (68°F), 101.325 kPa (ISO 5011) Compressor SCFM rating, blower sizing & HVAC duct air
Air at STP (0°C, 1 atm) 1.292 0°C (32°F), 101.325 kPa (IUPAC) Standard European gas metering & chemical plant feeds
Diesel Fuel (EN 590 / No. 2-D, 20°C) 832 20°C (68°F), ASTM D975 / EN 590 Engine fuel telemetry, BSFC dyno & generator consumption
Gasoline / Petrol (ASTM D4814, 15°C) 740 15°C (59°F), ASTM D4814 Automotive port & direct fuel injector calibrations
Natural Gas / Methane (STP: 0°C, 1 atm) 0.717 0°C, 1 atm (Pure CH₄ approximation) Gas turbine firing rate & burner pipeline supply
Engine Lubricating Oil (SAE 30, 20°C) 885 20°C, typical kinematic grade 100 cSt Engine lube circuits, turbo feed lines & cooling loops
Hydraulic Oil (ISO VG 46, 20°C) 870 20°C, mineral hydraulic fluid Hydraulic power packs, cylinder pump flows & servo valves
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Frequently Asked Questions

There are exactly 6.30901964 × 10⁻⁵ cubic meters/second (m³/s) in 1 gallon (us)/minute (gal (US)/min). To calculate larger amounts manually, simply multiply your total number of gallons (us)/minute by the conversion multiplier of 6.30901964 × 10⁻⁵.

The mathematical formula to convert gallons (us)/minute to cubic meters/second is: [value] * 6.30901964 × 10⁻⁵ = cubic meters/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 cubic meters/second back to gallons (us)/minute, you must divide your starting value by 6.30901964 × 10⁻⁵. Our bidirectional tool automatically computes this inverse equation the moment you type into the cubic meter/second input field.

1 Cubic meter/second is larger than 1 Gallon (US)/minute. Specifically, 1 Gallon (US)/minute equals 6.30901964 × 10⁻⁵ cubic meters/second, meaning 1 Cubic meter/second is 15850.3231 times larger than 1 Gallon (US)/minute (a difference of 4.20 orders of magnitude). Expressing measurements in gallons (us)/minute requires a larger numerical value to represent the equivalent physical magnitude.

A typical EPA WaterSense certified residential bathroom sink faucet flow limit (1.5 gpm) measures 1.5 gpm, which corresponds to 9.4635 × 10⁻⁵ Cubic Meter Per Second (Cubic meter/second).

The standard metric conversion is 1 gal (US)/min = 6.30902 × 10⁻⁵ m³/s.

The precise conversion formula is V(m³/s) = V(gal (US)/min) × 6.30902 × 10⁻⁵.

For the reverse calculation, apply V(gal (US)/min) = V(m³/s) × 15850.3.

Converting gal (US)/min to m³/s is essential in civil engineering to calculate large-scale pump capacities and aqueduct velocity distributions.

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