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Gallon (US)/minute to Cubic foot/second (gal (US)/min to ft³/s) Calculator

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Live Conversion • ISO 80000-4:2019 Certified
1 Gallon (US)/minute = 0.0022280093 Cubic foot/second
1 gal (US)/min = 0.00222801 ft³/s • 1 ft³/s = 448.831169 gal (US)/min
Gallon (US)/minute to Cubic foot/second: One Gallon (US)/minute is equal to 0.0022280093 Cubic Feet/second.
Certified Authority Value
0.00222801
ft³/s
Exact: 1 ft³/s ≡ 448.8311688312 gal (US)/min
gal (US)/min
gal (US)/min
ft³/s
ft³/s 0.0022280093
Conversion Formula
To convert Gallon (US)/minute to Cubic foot/second, multiply by 0.0022280093
gal (US)/min × 0.0022280093 = ft³/s

Calculation: 1 gal (US)/min × 0.0022280093 = 0.0022280093 ft³/s

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

Quick-lookup reference table showing calculated equivalents for standard increments between Gallon (US)/minute (gal (US)/min) and Cubic foot/second (ft³/s).

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Gallon (US)/minute to Cubic foot/second: Primary Direct Table (15 Steps)
Cubic foot/second to Gallon (US)/minute: Reciprocal Summary

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 foot/second (ft³/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 foot/second References:

  • Standard river streamflow hydrograph discharge measurement unit (cfs / 448.8 gpm) 1 cfs
  • Small recreational trout fishing mountain river streamflow discharge 100 cfs
  • Colorado River natural carved streamflow carving through the Grand Canyon 14000 cfs
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 foot/second

Converting Gallon (US)/minute (gal (US)/min) to Cubic foot/second (ft³/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 0.00222801 Cubic foot/second, while 1 ft³/s equals 448.831169 gal (US)/min.

Direct Factor1 gal (US)/min = 0.00222801 ft³/s
Inverse Ratio1 ft³/s = 448.831169 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 ft³/s = 0.0283168 cubic meter per second (m³/s)
Step-by-step substitution for Gallon (US)/minute → Cubic foot/second:V(ft³/s) = V(gal (US)/min) × ( 6.30902 × 10⁻⁵ / 0.0283168 ) = V(gal (US)/min) × 0.00222801
Mathematical FormulaValue in Cubic foot/second = Value in Gallon (US)/minute × 0.0022280093Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 15 gal (US)/min, applying the conversion factor yields exactly 0.0334201 ft³/s. At larger operational scale, 240 Gallon (US)/minute corresponds to 0.534722 ft³/s.

Inverse check: 1 ft³/s = 448.831169 gal (US)/min.

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

ft³/s
Imperial / US

A Cubic foot/second (ft³/s) is an imperial and US customary unit for volumetric flow rate.

Applications & Practical Context

In practical flow terms, a standard river streamflow hydrograph discharge measurement unit (cfs / 448.8 gpm) equals 1 cfs, a small recreational trout fishing mountain river streamflow discharge equals 100 cfs, a colorado River natural carved streamflow carving through the Grand Canyon equals 14000 cfs.

Physical Setup

A physical magnitude of 1 ft³/s corresponds to 0.0283168 m³/s in standard SI measurement.

Conversion to SI Unit: cubic meter per second (m³/s)
1 ft³/s = 0.0283168 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 foot/second
EPA WaterSense certified residential bathroom sink faucet flow limit (1.5 gpm)1.5 gpm0.00334201 ft³/s
Standard residential outdoor garden hose discharge delivery flow rate (5 gpm)5 gpm0.01114 ft³/s
Commercial building automatic fire sprinkler head water discharge rate (25 gpm)25 gpm0.0557002 ft³/s
Fire department commercial attack line firefighting hose water delivery (150 gpm)150 gpm0.334201 ft³/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 0.0022280093 cubic feet/second (ft³/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 0.0022280093.

The mathematical formula to convert gallons (us)/minute to cubic feet/second is: [value] * 0.0022280093 = cubic feet/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 feet/second back to gallons (us)/minute, you must divide your starting value by 0.0022280093. Our bidirectional tool automatically computes this inverse equation the moment you type into the cubic foot/second input field.

1 Cubic foot/second is larger than 1 Gallon (US)/minute. Specifically, 1 Gallon (US)/minute equals 0.0022280093 cubic feet/second, meaning 1 Cubic foot/second is 448.8312 times larger than 1 Gallon (US)/minute (a difference of 2.65 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 0.003342 Cubic Foot Per Second (Cubic foot/second).

The exact volumetric transfer rate is 1 gal (US)/min = 0.00222801 ft³/s.

Calculate the target flow via V(ft³/s) = V(gal (US)/min) × 0.00222801.

For the inverse unit, the formula applies V(gal (US)/min) = V(ft³/s) × 448.831.

Hydraulic engineers routinely depend on this exact conversion when modeling municipal water utility networks alongside open channel flow dynamics.