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 foot/second (ft³/min to ft³/s) Calculator & Formula

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Live Conversion • ISO 80000-4:2019 Certified

1 Cubic foot/minute = 0.016666667 Cubic foot/second

1 ft³/min = 0.0166667 ft³/s • 1 ft³/s = 60 ft³/min

Decimals:

Certified Authority Value

0.01666667

ft³/s

From / Input

ft³/min

Swap to Cubic foot/second to Cubic foot/minute

To / Result

ft³/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 foot/second, multiply by 0.016666667

ft³/min × 0.016666667 = ft³/s

Calculation: 1 ft³/min × 0.016666667 = 0.016666667 ft³/s

Common Cubic foot/minute to Cubic foot/second Calculations

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

Tap any row to calculate

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

Rule: 1 Cubic foot/minute is equal to 0.0166667 ft³/s (Cubic foot/second)

Cubic foot/minute to Cubic foot/second Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 ft³/min is equal to 1.666667 × 10⁻⁵ ft³/s (Cubic foot/second)	1.667 × 10⁻⁵
0.01 ft³/min is equal to 0.000166667 ft³/s (Cubic foot/second)	1.667 × 10⁻⁴
0.1 ft³/min is equal to 0.00166667 ft³/s (Cubic foot/second)	1.667 × 10⁻³
0.5 ft³/min is equal to 0.00833333 ft³/s (Cubic foot/second)	8.333 × 10⁻³
1 ft³/min is equal to 0.0166667 ft³/s (Cubic foot/second)	1.667 × 10⁻²
2 ft³/min is equal to 0.0333333 ft³/s (Cubic foot/second)	3.333 × 10⁻²
5 ft³/min is equal to 0.0833333 ft³/s (Cubic foot/second)	8.333 × 10⁻²
10 ft³/min is equal to 0.166667 ft³/s (Cubic foot/second)	1.667 × 10⁻¹
20 ft³/min is equal to 0.333333 ft³/s (Cubic foot/second)	3.333 × 10⁻¹
25 ft³/min is equal to 0.416667 ft³/s (Cubic foot/second)	4.167 × 10⁻¹
50 ft³/min is equal to 0.833333 ft³/s (Cubic foot/second)	8.333 × 10⁻¹
100 ft³/min is equal to 1.666667 ft³/s (Cubic foot/second)	1.667 × 10⁰
250 ft³/min is equal to 4.166667 ft³/s (Cubic foot/second)	4.167 × 10⁰
500 ft³/min is equal to 8.333333 ft³/s (Cubic foot/second)	8.333 × 10⁰
1000 ft³/min is equal to 16.666667 ft³/s (Cubic foot/second)	1.667 × 10¹

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

Rule: 1 Cubic foot/second is equal to 60 ft³/min (Cubic foot/minute)

Cubic foot/second to Cubic foot/minute Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 ft³/s is equal to 60 ft³/min (Cubic foot/minute)	6 × 10¹
5 ft³/s is equal to 300 ft³/min (Cubic foot/minute)	3 × 10²
10 ft³/s is equal to 600 ft³/min (Cubic foot/minute)	6 × 10²
50 ft³/s is equal to 3000 ft³/min (Cubic foot/minute)	3 × 10³
100 ft³/s is equal to 6000 ft³/min (Cubic foot/minute)	6 × 10³

View Complete 15-Row Cubic foot/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 foot/second (ft³/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 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 foot/minute to Cubic foot/second

Converting Cubic foot/minute (ft³/min) 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 foot/minute equals 0.0166667 Cubic foot/second, while 1 ft³/s equals 60 ft³/min.

Direct Factor1 ft³/min = 0.0166667 ft³/s

Inverse Ratio1 ft³/s = 60 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 ft³/s = 0.0283168 cubic meter per second (m³/s)

Step-by-step substitution for Cubic foot/minute → Cubic foot/second:V(ft³/s) = V(ft³/min) × ( 0.000471947 / 0.0283168 ) = V(ft³/min) × 0.0166667

Mathematical FormulaValue in Cubic foot/second = Value in Cubic foot/minute × 0.016666667Direct computational formula applied for standard conversion.

Worked Example

Converting 15 ft³/min yields an exact output of 0.25 ft³/s in Cubic foot/second. Under higher industrial throughput, 10000 ft³/min translates to 166.666667 ft³/s.

Inverse check: 1 ft³/s = 60 ft³/min.

Understanding Cubic foot/minute 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
Standard residential bathroom moisture ventilation exhaust ceiling fan rating (80 CFM)	`80 CFM`	`1.333333 ft³/s`
Workshop pneumatic air compressor continuous compressed air delivery (15 CFM)	`15 CFM`	`0.25 ft³/s`
Commercial whole-home central HVAC air handler airflow circulation volume (1,200 CFM)	`1200 CFM`	`20 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): 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 0.016666667 cubic feet/second (ft³/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 0.016666667.

The mathematical formula to convert cubic feet/minute to cubic feet/second is: [value] * 0.016666667 = 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 feet/minute, you must divide your starting value by 0.016666667. 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 Cubic foot/minute. Specifically, 1 Cubic foot/minute equals 0.016666667 cubic feet/second, meaning 1 Cubic foot/second is 60 times larger than 1 Cubic foot/minute (a difference of 1.78 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 1.3333 Cubic Foot Per Second (Cubic foot/second).

Under ISO 80000 standard flow metrology, the exact conversion is 1 ft³/min = 0.0166667 ft³/s.

The precise volumetric flow rate equation is V(ft³/s) = V(ft³/min) × 0.0166667.

To calculate the inverse conversion, use the equation V(ft³/min) = V(ft³/s) × 59.9999.

In HVAC and mechanical engineering, airflow is strictly measured in ft³/min (CFM) to determine ventilation turnover rates, while civil water resources utilize ft³/s (CFS) for high-volume discharge.

Related Cubic foot/minute and Cubic foot/second Conversions

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Convert Other Units to Cubic foot/second

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