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Liter/minute to Cubic foot/second (L/min to ft³/s) Calculator & Formula

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Live Conversion • ISO 80000-4:2019 Certified
1 Liter/minute = 0.00058857778 Cubic foot/second
1 L/min = 0.000588578 ft³/s • 1 ft³/s = 1699.010796 L/min
Liter/minute to Cubic foot/second: One Liter/minute is equal to 0.00058857778 Cubic Feet/second.
Certified Authority Value
0.00058858
ft³/s
Exact: 1 ft³/s ≡ 1699.01079552 L/min
L/min
L/min
Swap to Cubic foot/second to Liter/minute
ft³/s
ft³/s 0.00058857778
Quick Values:
1 L/min 5 L/min 10 L/min 25 L/min 50 L/min 100 L/min 250 L/min 500 L/min 1,000 L/min
Conversion Formula
To convert Liter/minute to Cubic foot/second, multiply by 0.00058857778
L/min × 0.00058857778 = ft³/s

Calculation: 1 L/min × 0.00058857778 = 0.00058857778 ft³/s

Common Liter/minute to Cubic foot/second Calculations

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

Tap any row to calculate
Cubic foot/second to Liter/minute: Reciprocal Summary
Cubic foot/second to Liter/minute Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 ft³/s is equal to 1699.010796 L/min (Liter/minute) 1.699 × 10³
5 ft³/s is equal to 8495.053978 L/min (Liter/minute) 8.495 × 10³
10 ft³/s is equal to 16990.107955 L/min (Liter/minute) 1.699 × 10⁴
50 ft³/s is equal to 84950.539776 L/min (Liter/minute) 8.495 × 10⁴
100 ft³/s is equal to 169901.079552 L/min (Liter/minute) 1.699 × 10⁵
View Complete 15-Row Cubic foot/second to Liter/minute Table

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 Liter/minute (L/min) and Cubic foot/second (ft³/s):

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

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

Tap any benchmark above to automatically calculate its exact equivalent in Cubic foot/second.

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

How to Convert Liter/minute to Cubic foot/second

Converting Liter/minute (L/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 Liter/minute equals 0.000588578 Cubic foot/second, while 1 ft³/s equals 1699.010796 L/min.

Direct Factor1 L/min = 0.000588578 ft³/s
Inverse Ratio1 ft³/s = 1699.010796 L/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 L/min = 1.666667 × 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 Liter/minute → Cubic foot/second:V(ft³/s) = V(L/min) × ( 1.666667 × 10⁻⁵ / 0.0283168 ) = V(L/min) × 0.000588578
Mathematical FormulaValue in Cubic foot/second = Value in Liter/minute × 0.00058857778Direct computational formula applied for standard conversion.
Worked Example

To convert 50 Liter/minute (L/min) to Cubic foot/second (ft³/s): multiply 50 by 0.000588578 to get 0.0294289 ft³/s. At an industrial engineering scale, 480 L/min converts to 0.282517 ft³/s.

Inverse check: 1 ft³/s = 1699.010796 L/min.

Understanding Liter/minute and Cubic foot/second

Liter/minute

L/min
Standard Unit

A 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.

Physical Setup

A physical magnitude of 1 L/min corresponds to 1.666667 × 10⁻⁵ m³/s in standard SI measurement.

Conversion to SI Unit: cubic meter per second (m³/s)
1 L/min = 1.666667 × 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
Standard water-saving residential bathroom showerhead water flow limit9 L/min0.0052972 ft³/s
Standard domestic kitchen sink faucet aerator maximum flow rate6 L/min0.00353147 ft³/s
Resting adult human pulmonary ventilation air inhalation flow rate6 L/min0.00353147 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 L/min at Water (20°C / Standard Ambient) = 0.0002646 GPM
Equals 3.5378 × 10⁻⁵ CFM • 6.0108 × 10⁻⁵ m³/h • 0.001002 L/min
US Pump Standard
0.0002646
GPM
US Gallons per Minute
Air / Gas Flow
3.5378 × 10⁻⁵
CFM
Cubic Feet per Minute
Metric Standard
6.0108 × 10⁻⁵
m³/h
Cubic Meters per Hour
Hydraulics & Lab
0.001002
L/min
Liters per Minute
High Volume
1.6697 × 10⁻⁵
L/s
Liters per Second
Burners & Fuel
0.0021
ft³/h
Cubic Feet per Hour
  1. 1. Normalize Input to SI Base Unit (kg/s):
    ṁ = 1 L/min × 1.66666667 × 10⁻⁵ = 1.66666667 × 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 = (1.66666667 × 10⁻⁵) ÷ (998.2) = 1.669672 × 10⁻⁸ m³/s
  4. 4. Convert to Standard Engineering Units:
    • GPM: 1.669672 × 10⁻⁸ × 15850.3231 = 0.0002646 GPM (US Gallons per Minute) • CFM: 1.669672 × 10⁻⁸ × 2118.88 = 3.5378 × 10⁻⁵ CFM (Cubic Feet per Minute) • m³/h: 1.669672 × 10⁻⁸ × 3600 = 6.0108 × 10⁻⁵ m³/h (Cubic Meters per Hour) • L/min: 1.669672 × 10⁻⁸ × 60000 = 0.001002 L/min (Liters per Minute) • L/s: 1.669672 × 10⁻⁸ × 1000 = 1.6697 × 10⁻⁵ L/s (Liters per Second) • ft³/h: 1.669672 × 10⁻⁸ × 127132.8002 = 0.0021 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 0.00058857778 cubic feet/second (ft³/s) in 1 liter/minute (L/min). To calculate larger amounts manually, simply multiply your total number of liters/minute by the conversion multiplier of 0.00058857778.

The mathematical formula to convert liters/minute to cubic feet/second is: [value] * 0.00058857778 = 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 liters/minute, you must divide your starting value by 0.00058857778. 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 Liter/minute. Specifically, 1 Liter/minute equals 0.00058857778 cubic feet/second, meaning 1 Cubic foot/second is 1699.0108 times larger than 1 Liter/minute (a difference of 3.23 orders of magnitude). Expressing measurements in liters/minute requires a larger numerical value to represent the equivalent physical magnitude.

A typical standard water-saving residential bathroom showerhead water flow limit measures 9 L/min, which corresponds to 0.005297 Cubic Foot Per Second (Cubic foot/second).

There are exactly 0.000588578 ft³/s in 1 L/min.

The specific volumetric flow conversion formula is V(ft³/s) = V(L/min) × 0.000588578.

To convert back to liters per minute, use the inverse formula: V(L/min) = V(ft³/s) × 1699.01.

This conversion combines volumetric and temporal scaling, mapping small-scale fluid metric flows (L/min) to macroscopic Imperial fluid discharge benchmarks (cfs or ft³/s) typically used in civil engineering.

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