Cubic foot/second to Liter/minute (ft³/s to L/min) Calculator & Formula
ft³/s × 1699.01079552 = L/min
Calculation: 1 ft³/s × 1699.01079552 = 1699.01079552 L/min
Common Cubic foot/second to Liter/minute Calculations
Quick-lookup reference table showing calculated equivalents for standard increments between Cubic foot/second (ft³/s) and Liter/minute (L/min).
| Reciprocal & Equivalent Value | Scientific Notation |
|---|---|
| 1 L/min is equal to 0.000588578 ft³/s (Cubic foot/second) | 5.886 × 10⁻⁴ |
| 5 L/min is equal to 0.00294289 ft³/s (Cubic foot/second) | 2.943 × 10⁻³ |
| 10 L/min is equal to 0.00588578 ft³/s (Cubic foot/second) | 5.886 × 10⁻³ |
| 50 L/min is equal to 0.0294289 ft³/s (Cubic foot/second) | 2.943 × 10⁻² |
| 100 L/min is equal to 0.0588578 ft³/s (Cubic foot/second) | 5.886 × 10⁻² |
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 Cubic foot/second (ft³/s) and Liter/minute (L/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
Liter/minute References:
- Standard water-saving residential bathroom showerhead water flow limit 9 L/min
- Standard domestic kitchen sink faucet aerator maximum flow rate 6 L/min
- Resting adult human pulmonary ventilation air inhalation flow rate 6 L/min
How to Convert Cubic foot/second to Liter/minute
Converting Cubic foot/second (ft³/s) to Liter/minute (L/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 1699.010796 Liter/minute, while 1 L/min equals 0.000588578 ft³/s.
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 ft³/s = 0.0283168 cubic meter per second (m³/s)1 L/min = 1.666667 × 10⁻⁵ cubic meter per second (m³/s)V(L/min) = V(ft³/s) × ( 0.0283168 / 1.666667 × 10⁻⁵ ) = V(ft³/s) × 1699.010796Value in Liter/minute = Value in Cubic foot/second × 1699.01079552Direct computational formula applied for standard conversion.To convert 24 Cubic foot/second (ft³/s) to Liter/minute (L/min): multiply 24 by 1699.010796 to get 40776.259092 L/min. At an industrial engineering scale, 10000 ft³/s converts to 1.699011 × 10⁷ L/min.
Inverse check: 1 L/min = 0.000588578 ft³/s.Understanding Cubic foot/second and Liter/minute
Cubic 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/sLiter/minute
L/minA Liter/minute (L/min) is a recognized unit for volumetric flow rate.
Applications & Practical Context
In practical flow terms, a standard water-saving residential bathroom showerhead water flow limit equals 9 L/min, a standard domestic kitchen sink faucet aerator maximum flow rate equals 6 L/min, a resting adult human pulmonary ventilation air inhalation flow rate equals 6 L/min.
A physical magnitude of 1 L/min corresponds to 1.666667 × 10⁻⁵ m³/s in standard SI measurement.
1 L/min = 1.666667 × 10⁻⁵ 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 Liter/minute |
|---|---|---|
| Standard river streamflow hydrograph discharge measurement unit (cfs / 448.8 gpm) | 1 cfs | 1699.010796 L/min |
| Small recreational trout fishing mountain river streamflow discharge | 100 cfs | 169901.079552 L/min |
| Colorado River natural carved streamflow carving through the Grand Canyon | 14000 cfs | 2.378615 × 10⁷ L/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 ft³/s × 0.02831685 = 0.02831685 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 = (0.02831685) ÷ (998.2) = 2.836791 × 10⁻⁵ m³/s -
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)
| 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 |
