Gallon (US)/minute to Cubic foot/second (gal (US)/min to ft³/s) Calculator
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).
| Reciprocal & Equivalent Value | Scientific Notation |
|---|---|
| 1 ft³/s is equal to 448.831169 gal (US)/min (Gallon (US)/minute) | 4.488 × 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 |
| 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 |
Real-World Context & Everyday Benchmarks
Tap to load into converterTo 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
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.
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:
1 gal (US)/min = 6.30902 × 10⁻⁵ cubic meter per second (m³/s)1 ft³/s = 0.0283168 cubic meter per second (m³/s)V(ft³/s) = V(gal (US)/min) × ( 6.30902 × 10⁻⁵ / 0.0283168 ) = V(gal (US)/min) × 0.00222801Value in Cubic foot/second = Value in Gallon (US)/minute × 0.0022280093Direct computational formula applied for standard conversion.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)/minA 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.
A physical magnitude of 1 gal (US)/min corresponds to 6.30902 × 10⁻⁵ m³/s in standard SI measurement.
1 gal (US)/min = 6.30902 × 10⁻⁵ m³/sCubic foot/second
ft³/sA 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.
A physical magnitude of 1 ft³/s corresponds to 0.0283168 m³/s in standard SI measurement.
1 ft³/s = 0.0283168 m³/sDomain Metrology & Engineering Applications
Hydrodynamic Continuity Equation (Q = A · v̄)
Rigorously quantified in laboratory and field settings using electromagnetic inductive flowmeters, ultrasonic transit-time meters, turbine flowmeters, and differential orifice plates.
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 Reference | Reference Value | Converted to Cubic foot/second |
|---|---|---|
| EPA WaterSense certified residential bathroom sink faucet flow limit (1.5 gpm) | 1.5 gpm | 0.00334201 ft³/s |
| Standard residential outdoor garden hose discharge delivery flow rate (5 gpm) | 5 gpm | 0.01114 ft³/s |
| Commercial building automatic fire sprinkler head water discharge rate (25 gpm) | 25 gpm | 0.0557002 ft³/s |
| Fire department commercial attack line firefighting hose water delivery (150 gpm) | 150 gpm | 0.334201 ft³/s |
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].
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
-
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. Apply Engineering Parameter (ρ):
Selected condition: Water (20°C / Standard Ambient) at ρ = 998.2 kg/m³ -
3. Execute Governing Physical Law in SI Units:
Q = ṁ / ρ = (6.30901964 × 10⁻⁵) ÷ (998.2) = 6.320396 × 10⁻⁸ m³/s -
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)
| 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 |