How do you convert mass flow (lb/hr) to volumetric flow (GPM) for water?

To convert mass flow in pounds per hour (lb/hr) to volumetric flow in gallons per minute (GPM) for water, divide by 499.78 for precision water at 20°C (density 998.2 kg/m³ or 8.33 lb/gal). Exact equation: GPM = (lb/hr) / (density in lb/gal × 60). For example, 1,000 lb/hr of water equals approximately 2.001 GPM.

How do you convert compressed air mass flow (lb/hr) to SCFM?

To convert air mass flow (lb/hr) to Standard Cubic Feet per Minute (SCFM) at standard ambient conditions (20°C, 1 atm, density 0.07516 lb/ft³), divide the mass flow rate by (0.07516 × 60) = 4.51. Exact equation: SCFM = (lb/hr) / 4.51. For example, 100 lb/hr of compressed air equals approximately 22.17 SCFM.

How do you convert natural gas mass flow (kg/hr) to volumetric flow (m³/hr)?

To convert natural gas mass flow in kg/hr to volumetric flow in cubic meters per hour (m³/hr) at STP (0°C, 1 atm, density 0.717 kg/m³), divide the mass flow by 0.717: m³/hr = (kg/hr) / 0.717. For example, 100 kg/hr of methane natural gas equals approximately 139.47 m³/hr.

Cubic foot/second to Cubic meter/second (ft³/s to m³/s) Calculator & Formula

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Live Conversion • ISO 80000-4:2019 Certified

1 Cubic foot/second = 0.028316847 Cubic meter/second

1 ft³/s = 0.0283168 m³/s • 1 m³/s = 35.314667 ft³/s

Decimals:

Certified Authority Value

0.02831685

m³/s

From / Input

ft³/s

Swap to Cubic meter/second to Cubic foot/second

To / Result

m³/s

Quick Values:

1 ft³/s 5 ft³/s 10 ft³/s 25 ft³/s 50 ft³/s 100 ft³/s 250 ft³/s 500 ft³/s 1,000 ft³/s

Conversion Formula

To convert Cubic foot/second to Cubic meter/second, multiply by 0.028316847

ft³/s × 0.028316847 = m³/s

Calculation: 1 ft³/s × 0.028316847 = 0.028316847 m³/s

Common Cubic foot/second to Cubic meter/second Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Cubic foot/second (ft³/s) and Cubic meter/second (m³/s).

Tap any row to calculate

Cubic foot/second to Cubic meter/second: Primary Direct Table (15 Steps)

Rule: 1 Cubic foot/second is equal to 0.0283168 m³/s (Cubic meter/second)

Cubic foot/second to Cubic meter/second Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 ft³/s is equal to 2.831685 × 10⁻⁵ m³/s (Cubic meter/second)	2.832 × 10⁻⁵
0.01 ft³/s is equal to 0.000283168 m³/s (Cubic meter/second)	2.832 × 10⁻⁴
0.1 ft³/s is equal to 0.00283168 m³/s (Cubic meter/second)	2.832 × 10⁻³
0.5 ft³/s is equal to 0.0141584 m³/s (Cubic meter/second)	1.416 × 10⁻²
1 ft³/s is equal to 0.0283168 m³/s (Cubic meter/second)	2.832 × 10⁻²
2 ft³/s is equal to 0.0566337 m³/s (Cubic meter/second)	5.663 × 10⁻²
5 ft³/s is equal to 0.141584 m³/s (Cubic meter/second)	1.416 × 10⁻¹
10 ft³/s is equal to 0.283168 m³/s (Cubic meter/second)	2.832 × 10⁻¹
20 ft³/s is equal to 0.566337 m³/s (Cubic meter/second)	5.663 × 10⁻¹
25 ft³/s is equal to 0.707921 m³/s (Cubic meter/second)	7.079 × 10⁻¹
50 ft³/s is equal to 1.415842 m³/s (Cubic meter/second)	1.416 × 10⁰
100 ft³/s is equal to 2.831685 m³/s (Cubic meter/second)	2.832 × 10⁰
250 ft³/s is equal to 7.079212 m³/s (Cubic meter/second)	7.079 × 10⁰
500 ft³/s is equal to 14.158423 m³/s (Cubic meter/second)	1.416 × 10¹
1000 ft³/s is equal to 28.316847 m³/s (Cubic meter/second)	2.832 × 10¹

Cubic meter/second to Cubic foot/second: Reciprocal Summary

Rule: 1 Cubic meter/second is equal to 35.314667 ft³/s (Cubic foot/second)

Cubic meter/second to Cubic foot/second Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 m³/s is equal to 35.314667 ft³/s (Cubic foot/second)	3.531 × 10¹
5 m³/s is equal to 176.573334 ft³/s (Cubic foot/second)	1.766 × 10²
10 m³/s is equal to 353.146667 ft³/s (Cubic foot/second)	3.531 × 10²
50 m³/s is equal to 1765.733336 ft³/s (Cubic foot/second)	1.766 × 10³
100 m³/s is equal to 3531.466672 ft³/s (Cubic foot/second)	3.531 × 10³

View Complete 15-Row Cubic meter/second to Cubic foot/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 Cubic foot/second (ft³/s) and Cubic meter/second (m³/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

Cubic meter/second References:

Niagara Falls combined average tourist daytime river discharge flow rate 2400 m³/s
Amazon River mouth discharge into Atlantic Ocean (world largest river) 209000 m³/s
Municipal regional wastewater treatment plant peak sewage inflow rate 1 m³/s

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

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

How to Convert Cubic foot/second to Cubic meter/second

Converting Cubic foot/second (ft³/s) to Cubic meter/second (m³/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 Cubic foot/second equals 0.0283168 Cubic meter/second, while 1 m³/s equals 35.314667 ft³/s.

Direct Factor1 ft³/s = 0.0283168 m³/s

Inverse Ratio1 m³/s = 35.314667 ft³/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:

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 (k_source):1 ft³/s = 0.0283168 cubic meter per second (m³/s)

2. Target SI Bridge (k_target):1 m³/s = 1 cubic meter per second (m³/s)

Step-by-step substitution for Cubic foot/second → Cubic meter/second:V(m³/s) = V(ft³/s) × ( 0.0283168 / 1 ) = V(ft³/s) × 0.0283168

Mathematical FormulaValue in Cubic meter/second = Value in Cubic foot/second × 0.028316847Direct computational formula applied for standard conversion.

Worked Example

Converting 15 ft³/s yields an exact output of 0.424753 m³/s in Cubic meter/second. Under higher industrial throughput, 240 ft³/s translates to 6.796043 m³/s.

Inverse check: 1 m³/s = 35.314667 ft³/s.

Understanding Cubic foot/second and Cubic meter/second

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 Reference	Reference Value	Converted to Cubic meter/second
Standard river streamflow hydrograph discharge measurement unit (cfs / 448.8 gpm)	`1 cfs`	`0.0283168 m³/s`
Small recreational trout fishing mountain river streamflow discharge	`100 cfs`	`2.831685 m³/s`
Colorado River natural carved streamflow carving through the Grand Canyon	`14000 cfs`	`396.435852 m³/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).

Input Mass Flow Rate (ṁ): ft³/s

Select Industrial Fluid: 998.2 kg/m³

Coupling: Q = ṁ / ρ

Forward Reverse

Live Calculated Bridge Equivalent:

1 ft³/s at Water (20°C / Standard Ambient) = 0.4496 GPM

Equals 0.06011 CFM • 0.1021 m³/h • 1.7021 L/min

US Pump Standard

0.4496

GPM

US Gallons per Minute

Air / Gas Flow

0.06011

CFM

Cubic Feet per Minute

Metric Standard

0.1021

m³/h

Cubic Meters per Hour

Hydraulics & Lab

1.7021

L/min

Liters per Minute

High Volume

0.02837

L/s

Liters per Second

Burners & Fuel

3.61

ft³/h

Cubic Feet per Hour

Step-by-Step Numerical Derivation Proof View Derivation

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)

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

Frequently Asked Questions

There are exactly 0.028316847 cubic meters/second (m³/s) in 1 cubic foot/second (ft³/s). To calculate larger amounts manually, simply multiply your total number of cubic feet/second by the conversion multiplier of 0.028316847.

The mathematical formula to convert cubic feet/second to cubic meters/second is: [value] * 0.028316847 = cubic meters/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 meters/second back to cubic feet/second, you must divide your starting value by 0.028316847. Our bidirectional tool automatically computes this inverse equation the moment you type into the cubic meter/second input field.

1 Cubic meter/second is larger than 1 Cubic foot/second. Specifically, 1 Cubic foot/second equals 0.028316847 cubic meters/second, meaning 1 Cubic meter/second is 35.3147 times larger than 1 Cubic foot/second (a difference of 1.55 orders of magnitude). Expressing measurements in cubic feet/second requires a larger numerical value to represent the equivalent physical magnitude.

A typical standard river streamflow hydrograph discharge measurement unit (cfs / 448.8 gpm) measures 1 cfs, which corresponds to 0.02832 Cubic Meter Per Second (Cubic meter/second).

Under ISO 80000 standard flow metrology, the exact conversion is 1 ft³/s = 0.0283168 m³/s.

The precise volumetric flow rate equation is V(m³/s) = V(ft³/s) × 0.0283168.

To calculate the inverse conversion, use the equation V(ft³/s) = V(m³/s) × 35.3147.

Hydrological engineering utilizes ft³/s (CFS) for measuring river discharge and aqueduct flow, translating directly into m³/s for international fluid mechanics compatibility.

Related Cubic foot/second and Cubic meter/second Conversions

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Convert Other Units to Cubic meter/second

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