Skip to main content
0 results ↑ ↓ navigate, ↵ select

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

Rate this converter 0 of 0 ratings
Live Conversion • ISO 80000-4:2019 Certified
1 Cubic foot/second = 448.83116883 Gallon (US)/minute
1 ft³/s = 448.831169 gal (US)/min • 1 gal (US)/min = 0.00222801 ft³/s
Cubic foot/second to Gallon (US)/minute: One Cubic foot/second is equal to 448.83116883 Gallons (us)/minute.
Certified Authority Value
448.83116883
gal (US)/min
Exact: 1 gal (US)/min ≡ 0.002228009259 ft³/s
ft³/s
ft³/s
Swap to Gallon (US)/minute to Cubic foot/second
gal (US)/min
gal (US)/min 448.83116883
Quick Values:
1 ft³/s 5 ft³/s 10 ft³/s 25 ft³/s 50 ft³/s 100 ft³/s 250 ft³/s 500 ft³/s 1,000 ft³/s
Conversion Formula
To convert Cubic foot/second to Gallon (US)/minute, multiply by 448.83116883
ft³/s × 448.83116883 = gal (US)/min

Calculation: 1 ft³/s × 448.83116883 = 448.83116883 gal (US)/min

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

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

Tap any row to calculate
Cubic foot/second to Gallon (US)/minute: Primary Direct Table (15 Steps)
Cubic foot/second to Gallon (US)/minute Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 ft³/s is equal to 0.448831 gal (US)/min (Gallon (US)/minute) 4.488 × 10⁻¹
0.01 ft³/s is equal to 4.488312 gal (US)/min (Gallon (US)/minute) 4.488 × 10⁰
0.1 ft³/s is equal to 44.883117 gal (US)/min (Gallon (US)/minute) 4.488 × 10¹
0.5 ft³/s is equal to 224.415584 gal (US)/min (Gallon (US)/minute) 2.244 × 10²
1 ft³/s is equal to 448.831169 gal (US)/min (Gallon (US)/minute) 4.488 × 10²
2 ft³/s is equal to 897.662338 gal (US)/min (Gallon (US)/minute) 8.977 × 10²
5 ft³/s is equal to 2244.155844 gal (US)/min (Gallon (US)/minute) 2.244 × 10³
10 ft³/s is equal to 4488.311688 gal (US)/min (Gallon (US)/minute) 4.488 × 10³
20 ft³/s is equal to 8976.623377 gal (US)/min (Gallon (US)/minute) 8.977 × 10³
25 ft³/s is equal to 11220.779221 gal (US)/min (Gallon (US)/minute) 1.122 × 10⁴
50 ft³/s is equal to 22441.558442 gal (US)/min (Gallon (US)/minute) 2.244 × 10⁴
100 ft³/s is equal to 44883.116883 gal (US)/min (Gallon (US)/minute) 4.488 × 10⁴
250 ft³/s is equal to 112207.792208 gal (US)/min (Gallon (US)/minute) 1.122 × 10⁵
500 ft³/s is equal to 224415.584416 gal (US)/min (Gallon (US)/minute) 2.244 × 10⁵
1000 ft³/s is equal to 448831.168831 gal (US)/min (Gallon (US)/minute) 4.488 × 10⁵
Gallon (US)/minute to Cubic foot/second: Reciprocal Summary
Gallon (US)/minute to Cubic foot/second Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 gal (US)/min is equal to 0.00222801 ft³/s (Cubic foot/second) 2.228 × 10⁻³
5 gal (US)/min is equal to 0.01114 ft³/s (Cubic foot/second) 1.114 × 10⁻²
10 gal (US)/min is equal to 0.0222801 ft³/s (Cubic foot/second) 2.228 × 10⁻²
50 gal (US)/min is equal to 0.1114 ft³/s (Cubic foot/second) 1.114 × 10⁻¹
100 gal (US)/min is equal to 0.222801 ft³/s (Cubic foot/second) 2.228 × 10⁻¹
View Complete 15-Row Gallon (US)/minute to Cubic foot/second Table

Real-World Context & Everyday Benchmarks

Tap to load into converter

To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Cubic foot/second (ft³/s) and Gallon (US)/minute (gal (US)/min):

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

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

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

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

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

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

Direct Factor1 ft³/s = 448.831169 gal (US)/min
Inverse Ratio1 gal (US)/min = 0.00222801 ft³/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 ft³/s = 0.0283168 cubic meter per second (m³/s)
2. Target SI Bridge (ktarget):1 gal (US)/min = 6.30902 × 10⁻⁵ cubic meter per second (m³/s)
Step-by-step substitution for Cubic foot/second → Gallon (US)/minute:V(gal (US)/min) = V(ft³/s) × ( 0.0283168 / 6.30902 × 10⁻⁵ ) = V(ft³/s) × 448.831169
Mathematical FormulaValue in Gallon (US)/minute = Value in Cubic foot/second × 448.83116883Direct computational formula applied for standard conversion.
Worked Example

To convert 24 Cubic foot/second (ft³/s) to Gallon (US)/minute (gal (US)/min): multiply 24 by 448.831169 to get 10771.948052 gal (US)/min. At an industrial engineering scale, 10000 ft³/s converts to 4488311.688312 gal (US)/min.

Inverse check: 1 gal (US)/min = 0.00222801 ft³/s.

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

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

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

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)/minute
Standard river streamflow hydrograph discharge measurement unit (cfs / 448.8 gpm)1 cfs448.831169 gal (US)/min
Small recreational trout fishing mountain river streamflow discharge100 cfs44883.116883 gal (US)/min
Colorado River natural carved streamflow carving through the Grand Canyon14000 cfs6283636.363636 gal (US)/min
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 ft³/s at Water (20°C / Standard Ambient) = 0.4496 GPM
Equals 0.06011 CFM • 0.1021 m³/h • 1.7021 L/min
US Pump Standard
0.4496
GPM
US Gallons per Minute
Air / Gas Flow
0.06011
CFM
Cubic Feet per Minute
Metric Standard
0.1021
m³/h
Cubic Meters per Hour
Hydraulics & Lab
1.7021
L/min
Liters per Minute
High Volume
0.02837
L/s
Liters per Second
Burners & Fuel
3.61
ft³/h
Cubic Feet per Hour
  1. 1. Normalize Input to SI Base Unit (kg/s):
    ṁ = 1 ft³/s × 0.02831685 = 0.02831685 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 = (0.02831685) ÷ (998.2) = 2.836791 × 10⁻⁵ m³/s
  4. 4. Convert to Standard Engineering Units:
    • GPM: 2.836791 × 10⁻⁵ × 15850.3231 = 0.4496 GPM (US Gallons per Minute) • CFM: 2.836791 × 10⁻⁵ × 2118.88 = 0.06011 CFM (Cubic Feet per Minute) • m³/h: 2.836791 × 10⁻⁵ × 3600 = 0.1021 m³/h (Cubic Meters per Hour) • L/min: 2.836791 × 10⁻⁵ × 60000 = 1.7021 L/min (Liters per Minute) • L/s: 2.836791 × 10⁻⁵ × 1000 = 0.02837 L/s (Liters per Second) • ft³/h: 2.836791 × 10⁻⁵ × 127132.8002 = 3.61 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
Embed
Need this Cubic foot/second to Gallon (US)/minute calculator on your website, lab portal, or research blog?
Free HTML Widget 100% Responsive Zero Cookie Tracking
Notice a calculation discrepancy, rounding error, or glitch?
Help us maintain 100% scientific precision and report any issues directly to engineering.

Frequently Asked Questions

There are exactly 448.83116883 gallons (us)/minute (gal (US)/min) in 1 cubic foot/second (ft³/s). To calculate larger amounts manually, simply multiply your total number of cubic feet/second by the conversion multiplier of 448.83116883.

The mathematical formula to convert cubic feet/second to gallons (us)/minute is: [value] * 448.83116883 = gallons (us)/minute. 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)/minute back to cubic feet/second, you must divide your starting value by 448.83116883. Our bidirectional tool automatically computes this inverse equation the moment you type into the gallon (us)/minute input field.

1 Cubic foot/second is larger than 1 Gallon (US)/minute. Specifically, 1 Cubic foot/second equals exactly 448.83116883 gallons (us)/minute, making it 448.8312 times larger (a difference of 2.65 orders of magnitude). Therefore, quantities expressed in gallons (us)/minute require a larger numerical value to represent the same physical amount.

A typical standard river streamflow hydrograph discharge measurement unit (cfs / 448.8 gpm) measures 1 cfs, which corresponds to 448.8312 Gallon Us Per Minute (Gallon (US)/minute).

Under ISO 80000 standard flow metrology, the exact conversion is 1 ft³/s = 448.831 gal (US)/min.

The precise volumetric flow rate equation is V(gal (US)/min) = V(ft³/s) × 448.831.

To calculate the inverse conversion, use the equation V(ft³/s) = V(gal (US)/min) × 0.00222801.

Municipal water treatment plants track raw water intake in ft³/s (CFS) but specify internal pump capacities strictly in gal (US)/min (GPM).

Similar Categories