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

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Live Conversion • ISO 80000-4:2019 Certified
1 Liter/second = 2.11888 Cubic foot/minute
1 L/s = 2.11888 ft³/min • 1 ft³/min = 0.471947 L/s
Liter/second to Cubic foot/minute: One Liter/second is equal to 2.11888 Cubic Feet/minute.
Certified Authority Value
2.11888000
ft³/min
Exact: 1 ft³/min ≡ 0.4719474432 L/s
L/s
L/s
Swap to Cubic foot/minute to Liter/second
ft³/min
ft³/min 2.11888
Quick Values:
1 L/s 5 L/s 10 L/s 25 L/s 50 L/s 100 L/s 250 L/s 500 L/s 1,000 L/s
Conversion Formula
To convert Liter/second to Cubic foot/minute, multiply by 2.11888
L/s × 2.11888 = ft³/min

Calculation: 1 L/s × 2.11888 = 2.11888 ft³/min

Common Liter/second to Cubic foot/minute Calculations

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

Tap any row to calculate
Cubic foot/minute to Liter/second: Reciprocal Summary
Cubic foot/minute to Liter/second Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 ft³/min is equal to 0.471947 L/s (Liter/second) 4.719 × 10⁻¹
5 ft³/min is equal to 2.359737 L/s (Liter/second) 2.36 × 10⁰
10 ft³/min is equal to 4.719474 L/s (Liter/second) 4.719 × 10⁰
50 ft³/min is equal to 23.597372 L/s (Liter/second) 2.36 × 10¹
100 ft³/min is equal to 47.194744 L/s (Liter/second) 4.719 × 10¹
View Complete 15-Row Cubic foot/minute to Liter/second 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/second (L/s) and Cubic foot/minute (ft³/min):

Liter/second References:

  • Standard residential outdoor garden watering hose discharge rate 0.5 L/s
  • Municipal fire engine attack hose line water discharge delivery rate 15 L/s

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

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

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

How to Convert Liter/second to Cubic foot/minute

Converting Liter/second (L/s) 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 Liter/second equals 2.11888 Cubic foot/minute, while 1 ft³/min equals 0.471947 L/s.

Direct Factor1 L/s = 2.11888 ft³/min
Inverse Ratio1 ft³/min = 0.471947 L/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 L/s = 0.001 cubic meter per second (m³/s)
2. Target SI Bridge (ktarget):1 ft³/min = 0.000471947 cubic meter per second (m³/s)
Step-by-step substitution for Liter/second → Cubic foot/minute:V(ft³/min) = V(L/s) × ( 0.001 / 0.000471947 ) = V(L/s) × 2.11888
Mathematical FormulaValue in Cubic foot/minute = Value in Liter/second × 2.11888Direct computational formula applied for standard conversion.
Worked Example

To convert 2.5 Liter/second (L/s) to Cubic foot/minute (ft³/min): multiply 2.5 by 2.11888 to get 5.2972 ft³/min. At an industrial engineering scale, 5000 L/s converts to 10594.400016 ft³/min.

Inverse check: 1 ft³/min = 0.471947 L/s.

Understanding Liter/second and Cubic foot/minute

Liter/second

L/s
Standard Unit

A Liter/second (L/s) is a recognized unit for volumetric flow rate.

Applications & Practical Context

In practical flow terms, a standard residential outdoor garden watering hose discharge rate equals 0.5 L/s, a municipal fire engine attack hose line water discharge delivery rate equals 15 L/s.

Physical Setup

A physical magnitude of 1 L/s corresponds to 0.001 m³/s in standard SI measurement.

Conversion to SI Unit: cubic meter per second (m³/s)
1 L/s = 0.001 m³/s

Cubic foot/minute

ft³/min
Imperial / US

A 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.

Physical Setup

A physical magnitude of 1 ft³/min corresponds to 0.000471947 m³/s in standard SI measurement.

Conversion to SI Unit: cubic meter per second (m³/s)
1 ft³/min = 0.000471947 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/minute
Standard residential outdoor garden watering hose discharge rate0.5 L/s1.05944 ft³/min
Municipal fire engine attack hose line water discharge delivery rate15 L/s31.7832 ft³/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 L/s at Water (20°C / Standard Ambient) = 0.01588 GPM
Equals 0.002123 CFM • 0.003606 m³/h • 0.06011 L/min
US Pump Standard
0.01588
GPM
US Gallons per Minute
Air / Gas Flow
0.002123
CFM
Cubic Feet per Minute
Metric Standard
0.003606
m³/h
Cubic Meters per Hour
Hydraulics & Lab
0.06011
L/min
Liters per Minute
High Volume
0.001002
L/s
Liters per Second
Burners & Fuel
0.13
ft³/h
Cubic Feet per Hour
  1. 1. Normalize Input to SI Base Unit (kg/s):
    ṁ = 1 L/s × 0.001 = 0.001 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 = (0.001) ÷ (998.2) = 1.001803 × 10⁻⁶ m³/s
  4. 4. Convert to Standard Engineering Units:
    • GPM: 1.001803 × 10⁻⁶ × 15850.3231 = 0.01588 GPM (US Gallons per Minute) • CFM: 1.001803 × 10⁻⁶ × 2118.88 = 0.002123 CFM (Cubic Feet per Minute) • m³/h: 1.001803 × 10⁻⁶ × 3600 = 0.003606 m³/h (Cubic Meters per Hour) • L/min: 1.001803 × 10⁻⁶ × 60000 = 0.06011 L/min (Liters per Minute) • L/s: 1.001803 × 10⁻⁶ × 1000 = 0.001002 L/s (Liters per Second) • ft³/h: 1.001803 × 10⁻⁶ × 127132.8002 = 0.13 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 2.11888 cubic feet/minute (ft³/min) in 1 liter/second (L/s). To calculate larger amounts manually, simply multiply your total number of liters/second by the conversion multiplier of 2.11888.

The mathematical formula to convert liters/second to cubic feet/minute is: [value] * 2.11888 = cubic feet/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 cubic feet/minute back to liters/second, you must divide your starting value by 2.11888. Our bidirectional tool automatically computes this inverse equation the moment you type into the cubic foot/minute input field.

1 Liter/second is larger than 1 Cubic foot/minute. Specifically, 1 Liter/second equals exactly 2.11888 cubic feet/minute, making it 2.1189 times larger (a difference of 0.33 orders of magnitude). Therefore, quantities expressed in cubic feet/minute require a larger numerical value to represent the same physical amount.

A typical standard residential outdoor garden watering hose discharge rate measures 0.5 L/s, which corresponds to 1.0594 Cubic Foot Per Minute (Cubic foot/minute).

There are exactly 2.11888 ft³/min in 1 L/s.

The specific volumetric flow conversion formula is V(ft³/min) = V(L/s) × 2.11888.

To revert Imperial ventilation standards to Metric, use the inverse formula: V(L/s) = V(ft³/min) × 0.471947.

In thermal management and aerodynamics, this specific scaling crosses from fluid metrics directly to established Imperial volumetric displacement boundaries under ISO 80000 parameters.

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