Gallon (US)/minute to Cubic foot/minute (gal (US)/min to ft³/min) Calculator
gal (US)/min × 0.13368056 = ft³/min
Calculation: 1 gal (US)/min × 0.13368056 = 0.13368056 ft³/min
Common Gallon (US)/minute to Cubic foot/minute Calculations
Quick-lookup reference table showing calculated equivalents for standard increments between Gallon (US)/minute (gal (US)/min) and Cubic foot/minute (ft³/min).
| Reciprocal & Equivalent Value | Scientific Notation |
|---|---|
| 1 ft³/min is equal to 7.480519 gal (US)/min (Gallon (US)/minute) | 7.481 × 10⁰ |
| 5 ft³/min is equal to 37.402597 gal (US)/min (Gallon (US)/minute) | 3.74 × 10¹ |
| 10 ft³/min is equal to 74.805195 gal (US)/min (Gallon (US)/minute) | 7.481 × 10¹ |
| 50 ft³/min is equal to 374.025974 gal (US)/min (Gallon (US)/minute) | 3.74 × 10² |
| 100 ft³/min is equal to 748.051948 gal (US)/min (Gallon (US)/minute) | 7.481 × 10² |
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/minute (ft³/min):
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/minute References:
- Standard residential bathroom moisture ventilation exhaust ceiling fan rating (80 CFM) 80 CFM
- Workshop pneumatic air compressor continuous compressed air delivery (15 CFM) 15 CFM
- Commercial whole-home central HVAC air handler airflow circulation volume (1,200 CFM) 1200 CFM
How to Convert Gallon (US)/minute to Cubic foot/minute
Converting Gallon (US)/minute (gal (US)/min) to Cubic foot/minute (ft³/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 Gallon (US)/minute equals 0.133681 Cubic foot/minute, while 1 ft³/min equals 7.480519 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/min = 0.000471947 cubic meter per second (m³/s)V(ft³/min) = V(gal (US)/min) × ( 6.30902 × 10⁻⁵ / 0.000471947 ) = V(gal (US)/min) × 0.133681Value in Cubic foot/minute = Value in Gallon (US)/minute × 0.13368056Direct computational formula applied for standard conversion.For an engineering input of 36 gal (US)/min, applying the conversion factor yields exactly 4.8125 ft³/min. At larger operational scale, 1000 Gallon (US)/minute corresponds to 133.680556 ft³/min.
Inverse check: 1 ft³/min = 7.480519 gal (US)/min.Understanding Gallon (US)/minute and Cubic foot/minute
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/minute
ft³/minA Cubic foot/minute (ft³/min) is an imperial and US customary unit for volumetric flow rate.
Applications & Practical Context
In practical flow terms, a standard residential bathroom moisture ventilation exhaust ceiling fan rating (80 CFM) equals 80 CFM, a workshop pneumatic air compressor continuous compressed air delivery (15 CFM) equals 15 CFM, a commercial whole-home central HVAC air handler airflow circulation volume (1,200 CFM) equals 1200 CFM.
A physical magnitude of 1 ft³/min corresponds to 0.000471947 m³/s in standard SI measurement.
1 ft³/min = 0.000471947 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/minute |
|---|---|---|
| EPA WaterSense certified residential bathroom sink faucet flow limit (1.5 gpm) | 1.5 gpm | 0.200521 ft³/min |
| Standard residential outdoor garden hose discharge delivery flow rate (5 gpm) | 5 gpm | 0.668403 ft³/min |
| Commercial building automatic fire sprinkler head water discharge rate (25 gpm) | 25 gpm | 3.342014 ft³/min |
| Fire department commercial attack line firefighting hose water delivery (150 gpm) | 150 gpm | 20.052083 ft³/min |
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 |