Skip to main content
0 results ↑ ↓ navigate, ↵ select

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

Rate this converter 0 of 0 ratings
Live Conversion • ISO 80000-4:2019 Certified
1 Liter/second = 0.035314667 Cubic foot/second
1 L/s = 0.0353147 ft³/s • 1 ft³/s = 28.316847 L/s
Liter/second to Cubic foot/second: One Liter/second is equal to 0.035314667 Cubic Feet/second.
Certified Authority Value
0.03531467
ft³/s
Exact: 1 ft³/s ≡ 28.316846592 L/s
L/s
L/s
Swap to Cubic foot/second to Liter/second
ft³/s
ft³/s 0.035314667
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/second, multiply by 0.035314667
L/s × 0.035314667 = ft³/s

Calculation: 1 L/s × 0.035314667 = 0.035314667 ft³/s

Common Liter/second to Cubic foot/second Calculations

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

Tap any row to calculate
Cubic foot/second to Liter/second: Reciprocal Summary
Cubic foot/second to Liter/second Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 ft³/s is equal to 28.316847 L/s (Liter/second) 2.832 × 10¹
5 ft³/s is equal to 141.584233 L/s (Liter/second) 1.416 × 10²
10 ft³/s is equal to 283.168466 L/s (Liter/second) 2.832 × 10²
50 ft³/s is equal to 1415.84233 L/s (Liter/second) 1.416 × 10³
100 ft³/s is equal to 2831.684659 L/s (Liter/second) 2.832 × 10³
View Complete 15-Row Cubic foot/second to Liter/second Table

Real-World Context & Everyday Benchmarks

Tap to load into converter

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/second (ft³/s):

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/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/second to Cubic foot/second

Converting Liter/second (L/s) 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/second equals 0.0353147 Cubic foot/second, while 1 ft³/s equals 28.316847 L/s.

Direct Factor1 L/s = 0.0353147 ft³/s
Inverse Ratio1 ft³/s = 28.316847 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/s = 0.0283168 cubic meter per second (m³/s)
Step-by-step substitution for Liter/second → Cubic foot/second:V(ft³/s) = V(L/s) × ( 0.001 / 0.0283168 ) = V(L/s) × 0.0353147
Mathematical FormulaValue in Cubic foot/second = Value in Liter/second × 0.035314667Direct computational formula applied for standard conversion.
Worked Example

To convert 24 Liter/second (L/s) to Cubic foot/second (ft³/s): multiply 24 by 0.0353147 to get 0.847552 ft³/s. At an industrial engineering scale, 2500 L/s converts to 88.286667 ft³/s.

Inverse check: 1 ft³/s = 28.316847 L/s.

Understanding Liter/second and Cubic foot/second

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/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 residential outdoor garden watering hose discharge rate0.5 L/s0.0176573 ft³/s
Municipal fire engine attack hose line water discharge delivery rate15 L/s0.52972 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/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
Embed
Need this Liter/second to Cubic foot/second calculator on your website, lab portal, or research blog?
Free HTML Widget 100% Responsive Zero Cookie Tracking
Notice a calculation discrepancy, rounding error, or glitch?
Help us maintain 100% scientific precision and report any issues directly to engineering.

Frequently Asked Questions

There are exactly 0.035314667 cubic feet/second (ft³/s) in 1 liter/second (L/s). To calculate larger amounts manually, simply multiply your total number of liters/second by the conversion multiplier of 0.035314667.

The mathematical formula to convert liters/second to cubic feet/second is: [value] * 0.035314667 = 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/second, you must divide your starting value by 0.035314667. 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/second. Specifically, 1 Liter/second equals 0.035314667 cubic feet/second, meaning 1 Cubic foot/second is 28.3168 times larger than 1 Liter/second (a difference of 1.45 orders of magnitude). Expressing measurements in liters/second requires a larger numerical value to represent the equivalent physical magnitude.

A typical standard residential outdoor garden watering hose discharge rate measures 0.5 L/s, which corresponds to 0.01766 Cubic Foot Per Second (Cubic foot/second).

Under ISO 80000 flow metrology standards, exactly 1 L/s = 0.0353147 ft³/s.

The base conversion formula is V(ft³/s) = V(L/s) × 0.0353147.

To derive the inverse volumetric flow, use the equation V(L/s) = V(ft³/s) × 28.3168.

A constant discharge of 1 L/s equates to 0.0353147 ft³/s, a critical base metric in translating municipal hydrology and wastewater treatment parameters.

Similar Categories