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/minute to Cubic meter/second (ft³/min to m³/s) Calculator

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Live Conversion • ISO 80000-4:2019 Certified

1 Cubic foot/minute = 0.00047194744 Cubic meter/second

1 ft³/min = 0.000471947 m³/s • 1 m³/s = 2118.880003 ft³/min

Decimals:

Certified Authority Value

0.00047195

m³/s

From / Input

ft³/min

Swap to Cubic meter/second to Cubic foot/minute

To / Result

m³/s

Quick Values:

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

Conversion Formula

To convert Cubic foot/minute to Cubic meter/second, multiply by 0.00047194744

ft³/min × 0.00047194744 = m³/s

Calculation: 1 ft³/min × 0.00047194744 = 0.00047194744 m³/s

Common Cubic foot/minute to Cubic meter/second Calculations

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

Tap any row to calculate

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

Rule: 1 Cubic foot/minute is equal to 0.000471947 m³/s (Cubic meter/second)

Cubic foot/minute to Cubic meter/second Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 ft³/min is equal to 4.719474 × 10⁻⁷ m³/s (Cubic meter/second)	4.719 × 10⁻⁷
0.01 ft³/min is equal to 4.719474 × 10⁻⁶ m³/s (Cubic meter/second)	4.719 × 10⁻⁶
0.1 ft³/min is equal to 4.719474 × 10⁻⁵ m³/s (Cubic meter/second)	4.719 × 10⁻⁵
0.5 ft³/min is equal to 0.000235974 m³/s (Cubic meter/second)	2.36 × 10⁻⁴
1 ft³/min is equal to 0.000471947 m³/s (Cubic meter/second)	4.719 × 10⁻⁴
2 ft³/min is equal to 0.000943895 m³/s (Cubic meter/second)	9.439 × 10⁻⁴
5 ft³/min is equal to 0.00235974 m³/s (Cubic meter/second)	2.36 × 10⁻³
10 ft³/min is equal to 0.00471947 m³/s (Cubic meter/second)	4.719 × 10⁻³
20 ft³/min is equal to 0.00943895 m³/s (Cubic meter/second)	9.439 × 10⁻³
25 ft³/min is equal to 0.0117987 m³/s (Cubic meter/second)	1.18 × 10⁻²
50 ft³/min is equal to 0.0235974 m³/s (Cubic meter/second)	2.36 × 10⁻²
100 ft³/min is equal to 0.0471947 m³/s (Cubic meter/second)	4.719 × 10⁻²
250 ft³/min is equal to 0.117987 m³/s (Cubic meter/second)	1.18 × 10⁻¹
500 ft³/min is equal to 0.235974 m³/s (Cubic meter/second)	2.36 × 10⁻¹
1000 ft³/min is equal to 0.471947 m³/s (Cubic meter/second)	4.719 × 10⁻¹

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

Rule: 1 Cubic meter/second is equal to 2118.880003 ft³/min (Cubic foot/minute)

Cubic meter/second to Cubic foot/minute Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 m³/s is equal to 2118.880003 ft³/min (Cubic foot/minute)	2.119 × 10³
5 m³/s is equal to 10594.400016 ft³/min (Cubic foot/minute)	1.059 × 10⁴
10 m³/s is equal to 21188.800033 ft³/min (Cubic foot/minute)	2.119 × 10⁴
50 m³/s is equal to 105944.000164 ft³/min (Cubic foot/minute)	1.059 × 10⁵
100 m³/s is equal to 211888.000329 ft³/min (Cubic foot/minute)	2.119 × 10⁵

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

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/minute to Cubic meter/second

Converting Cubic foot/minute (ft³/min) 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/minute equals 0.000471947 Cubic meter/second, while 1 m³/s equals 2118.880003 ft³/min.

Direct Factor1 ft³/min = 0.000471947 m³/s

Inverse Ratio1 m³/s = 2118.880003 ft³/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:

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/min = 0.000471947 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/minute → Cubic meter/second:V(m³/s) = V(ft³/min) × ( 0.000471947 / 1 ) = V(ft³/min) × 0.000471947

Mathematical FormulaValue in Cubic meter/second = Value in Cubic foot/minute × 0.00047194744Direct computational formula applied for standard conversion.

Worked Example

To convert 2.5 Cubic foot/minute (ft³/min) to Cubic meter/second (m³/s): multiply 2.5 by 0.000471947 to get 0.00117987 m³/s. At an industrial engineering scale, 5000 ft³/min converts to 2.359737 m³/s.

Inverse check: 1 m³/s = 2118.880003 ft³/min.

Understanding Cubic foot/minute 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 residential bathroom moisture ventilation exhaust ceiling fan rating (80 CFM)	`80 CFM`	`0.0377558 m³/s`
Workshop pneumatic air compressor continuous compressed air delivery (15 CFM)	`15 CFM`	`0.00707921 m³/s`
Commercial whole-home central HVAC air handler airflow circulation volume (1,200 CFM)	`1200 CFM`	`0.566337 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/min

Select Industrial Fluid: 998.2 kg/m³

Coupling: Q = ṁ / ρ

Forward Reverse

Live Calculated Bridge Equivalent:

1 ft³/min at Water (20°C / Standard Ambient) = 0.007494 GPM

Equals 0.001002 CFM • 0.001702 m³/h • 0.02837 L/min

US Pump Standard

0.007494

GPM

US Gallons per Minute

Air / Gas Flow

0.001002

CFM

Cubic Feet per Minute

Metric Standard

0.001702

m³/h

Cubic Meters per Hour

Hydraulics & Lab

0.02837

L/min

Liters per Minute

High Volume

0.0004728

L/s

Liters per Second

Burners & Fuel

0.06

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/min × 0.00047195 = 0.00047195 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 = (0.00047195) ÷ (998.2) = 4.727985 × 10⁻⁷ m³/s
4. Convert to Standard Engineering Units:
• GPM: 4.727985 × 10⁻⁷ × 15850.3231 = 0.007494 GPM (US Gallons per Minute) • CFM: 4.727985 × 10⁻⁷ × 2118.88 = 0.001002 CFM (Cubic Feet per Minute) • m³/h: 4.727985 × 10⁻⁷ × 3600 = 0.001702 m³/h (Cubic Meters per Hour) • L/min: 4.727985 × 10⁻⁷ × 60000 = 0.02837 L/min (Liters per Minute) • L/s: 4.727985 × 10⁻⁷ × 1000 = 0.0004728 L/s (Liters per Second) • ft³/h: 4.727985 × 10⁻⁷ × 127132.8002 = 0.06 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 0.00047194744 cubic meters/second (m³/s) in 1 cubic foot/minute (ft³/min). To calculate larger amounts manually, simply multiply your total number of cubic feet/minute by the conversion multiplier of 0.00047194744.

The mathematical formula to convert cubic feet/minute to cubic meters/second is: [value] * 0.00047194744 = 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/minute, you must divide your starting value by 0.00047194744. 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/minute. Specifically, 1 Cubic foot/minute equals 0.00047194744 cubic meters/second, meaning 1 Cubic meter/second is 2118.88 times larger than 1 Cubic foot/minute (a difference of 3.33 orders of magnitude). Expressing measurements in cubic feet/minute requires a larger numerical value to represent the equivalent physical magnitude.

A typical standard residential bathroom moisture ventilation exhaust ceiling fan rating (80 CFM) measures 80 CFM, which corresponds to 0.03776 Cubic Meter Per Second (Cubic meter/second).

Following internationally verified flow parameters, 1 ft³/min = 0.000471947 m³/s.

The fluid conversion metric is V(m³/s) = V(ft³/min) × 0.000471947.

The corresponding inverse scaling equation is V(ft³/min) = V(m³/s) × 2118.88.

This formula establishes the standard for validating US commercial HVAC (CFM) specifications against international metric architectural norms.

Related Cubic foot/minute and Cubic meter/second Conversions

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Convert Other Units to Cubic meter/second

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