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

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Live Conversion • ISO 80000-4:2019 Certified

1 Cubic meter/second = 35.31466672 Cubic foot/second

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

Decimals:

Certified Authority Value

35.31466672

ft³/s

From / Input

m³/s

Swap to Cubic foot/second to Cubic meter/second

To / Result

ft³/s

Quick Values:

1 m³/s 5 m³/s 10 m³/s 25 m³/s 50 m³/s 100 m³/s 250 m³/s 500 m³/s 1,000 m³/s

Conversion Formula

To convert Cubic meter/second to Cubic foot/second, multiply by 35.31466672

m³/s × 35.31466672 = ft³/s

Calculation: 1 m³/s × 35.31466672 = 35.31466672 ft³/s

Common Cubic meter/second to Cubic foot/second Calculations

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

Tap any row to calculate

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

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
Conversion & Equivalent Value	Scientific Notation
0.001 m³/s is equal to 0.0353147 ft³/s (Cubic foot/second)	3.531 × 10⁻²
0.01 m³/s is equal to 0.353147 ft³/s (Cubic foot/second)	3.531 × 10⁻¹
0.1 m³/s is equal to 3.531467 ft³/s (Cubic foot/second)	3.531 × 10⁰
0.5 m³/s is equal to 17.657333 ft³/s (Cubic foot/second)	1.766 × 10¹
1 m³/s is equal to 35.314667 ft³/s (Cubic foot/second)	3.531 × 10¹
2 m³/s is equal to 70.629333 ft³/s (Cubic foot/second)	7.063 × 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
20 m³/s is equal to 706.293334 ft³/s (Cubic foot/second)	7.063 × 10²
25 m³/s is equal to 882.866668 ft³/s (Cubic foot/second)	8.829 × 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
250 m³/s is equal to 8828.66668 ft³/s (Cubic foot/second)	8.829 × 10³
500 m³/s is equal to 17657.333361 ft³/s (Cubic foot/second)	1.766 × 10⁴
1000 m³/s is equal to 35314.666721 ft³/s (Cubic foot/second)	3.531 × 10⁴

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

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
Reciprocal & Equivalent Value	Scientific Notation
1 ft³/s is equal to 0.0283168 m³/s (Cubic meter/second)	2.832 × 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
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

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

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

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 Cubic meter/second to Cubic foot/second

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

Direct Factor1 m³/s = 35.314667 ft³/s

Inverse Ratio1 ft³/s = 0.0283168 m³/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 m³/s = 1 cubic meter per second (m³/s)

2. Target SI Bridge (k_target):1 ft³/s = 0.0283168 cubic meter per second (m³/s)

Step-by-step substitution for Cubic meter/second → Cubic foot/second:V(ft³/s) = V(m³/s) × ( 1 / 0.0283168 ) = V(m³/s) × 35.314667

Mathematical FormulaValue in Cubic foot/second = Value in Cubic meter/second × 35.31466672Direct computational formula applied for standard conversion.

Worked Example

For an engineering input of 36 m³/s, applying the conversion factor yields exactly 1271.328002 ft³/s. At larger operational scale, 5000 Cubic meter/second corresponds to 176573.333607 ft³/s.

Inverse check: 1 ft³/s = 0.0283168 m³/s.

Understanding Cubic meter/second and Cubic foot/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 foot/second
Niagara Falls combined average tourist daytime river discharge flow rate	`2400 m³/s`	`84755.200132 ft³/s`
Amazon River mouth discharge into Atlantic Ocean (world largest river)	`209000 m³/s`	`7380765.344791 ft³/s`
Municipal regional wastewater treatment plant peak sewage inflow rate	`1 m³/s`	`35.314667 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).

Input Mass Flow Rate (ṁ): m³/s

Select Industrial Fluid: 998.2 kg/m³

Coupling: Q = ṁ / ρ

Forward Reverse

Live Calculated Bridge Equivalent:

1 m³/s at Water (20°C / Standard Ambient) = 15.8789 GPM

Equals 2.1227 CFM • 3.6065 m³/h • 60.1082 L/min

US Pump Standard

15.8789

GPM

US Gallons per Minute

Air / Gas Flow

2.1227

CFM

Cubic Feet per Minute

Metric Standard

3.6065

m³/h

Cubic Meters per Hour

Hydraulics & Lab

60.1082

L/min

Liters per Minute

High Volume

1.0018

L/s

Liters per Second

Burners & Fuel

127.36

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 m³/s × 1 = 1 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 = (1) ÷ (998.2) = 0.0010018 m³/s
4. Convert to Standard Engineering Units:
• GPM: 0.0010018 × 15850.3231 = 15.8789 GPM (US Gallons per Minute) • CFM: 0.0010018 × 2118.88 = 2.1227 CFM (Cubic Feet per Minute) • m³/h: 0.0010018 × 3600 = 3.6065 m³/h (Cubic Meters per Hour) • L/min: 0.0010018 × 60000 = 60.1082 L/min (Liters per Minute) • L/s: 0.0010018 × 1000 = 1.0018 L/s (Liters per Second) • ft³/h: 0.0010018 × 127132.8002 = 127.36 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 35.31466672 cubic feet/second (ft³/s) in 1 cubic meter/second (m³/s). To calculate larger amounts manually, simply multiply your total number of cubic meters/second by the conversion multiplier of 35.31466672.

The mathematical formula to convert cubic meters/second to cubic feet/second is: [value] * 35.31466672 = 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 cubic meters/second, you must divide your starting value by 35.31466672. Our bidirectional tool automatically computes this inverse equation the moment you type into the cubic foot/second input field.

1 Cubic meter/second is larger than 1 Cubic foot/second. Specifically, 1 Cubic meter/second equals exactly 35.31466672 cubic feet/second, making it 35.3147 times larger (a difference of 1.55 orders of magnitude). Therefore, quantities expressed in cubic feet/second require a larger numerical value to represent the same physical amount.

A typical niagara Falls combined average tourist daytime river discharge flow rate measures 2400 m³/s, which corresponds to 84755.2001 Cubic Foot Per Second (Cubic foot/second).

There are exactly 35.3147 ft³/s in 1 m³/s.

The specific volumetric flow conversion formula is V(ft³/s) = V(m³/s) × 35.3147.

To convert from Imperial back to the SI derived unit, use the inverse formula: V(m³/s) = V(ft³/s) × 0.0283168.

This conversion calculates continuous volumetric flow rates between SI and Imperial systems under ISO 80000, establishing exact dimensional benchmarks for hydrology, HVAC systems, and fluid dynamics engineering.

Related Cubic meter/second and Cubic foot/second Conversions

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