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 foot/minute (ft³/s to ft³/min) Calculator

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Live Conversion • ISO 80000-4:2019 Certified

1 Cubic foot/second = 60 Cubic foot/minute

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

Decimals:

Certified Authority Value

60.00000000

ft³/min

From / Input

ft³/s

Swap to Cubic foot/minute to Cubic foot/second

To / Result

ft³/min

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 foot/minute, multiply by 60

ft³/s × 60 = ft³/min

Calculation: 1 ft³/s × 60 = 60 ft³/min

Common Cubic foot/second to Cubic foot/minute Calculations

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

Tap any row to calculate

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

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

Cubic foot/second to Cubic foot/minute Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 ft³/s is equal to 0.06 ft³/min (Cubic foot/minute)	6 × 10⁻²
0.01 ft³/s is equal to 0.6 ft³/min (Cubic foot/minute)	6 × 10⁻¹
0.1 ft³/s is equal to 6 ft³/min (Cubic foot/minute)	6 × 10⁰
0.5 ft³/s is equal to 30 ft³/min (Cubic foot/minute)	3 × 10¹
1 ft³/s is equal to 60 ft³/min (Cubic foot/minute)	6 × 10¹
2 ft³/s is equal to 120 ft³/min (Cubic foot/minute)	1.2 × 10²
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
20 ft³/s is equal to 1200 ft³/min (Cubic foot/minute)	1.2 × 10³
25 ft³/s is equal to 1500 ft³/min (Cubic foot/minute)	1.5 × 10³
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
250 ft³/s is equal to 15000 ft³/min (Cubic foot/minute)	1.5 × 10⁴
500 ft³/s is equal to 30000 ft³/min (Cubic foot/minute)	3 × 10⁴
1000 ft³/s is equal to 60000 ft³/min (Cubic foot/minute)	6 × 10⁴

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

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
Reciprocal & Equivalent Value	Scientific Notation
1 ft³/min is equal to 0.0166667 ft³/s (Cubic foot/second)	1.667 × 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
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

View Complete 15-Row Cubic foot/minute 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 foot/minute (ft³/min):

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 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

Tap any benchmark above to automatically calculate its exact equivalent in Cubic foot/minute.

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 foot/minute

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

Direct Factor1 ft³/s = 60 ft³/min

Inverse Ratio1 ft³/min = 0.0166667 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 ft³/min = 0.000471947 cubic meter per second (m³/s)

Step-by-step substitution for Cubic foot/second → Cubic foot/minute:V(ft³/min) = V(ft³/s) × ( 0.0283168 / 0.000471947 ) = V(ft³/s) × 60

Mathematical FormulaValue in Cubic foot/minute = Value in Cubic foot/second × 60Direct computational formula applied for standard conversion.

Worked Example

Converting 250 ft³/s yields an exact output of 15000 ft³/min in Cubic foot/minute. Under higher industrial throughput, 240 ft³/s translates to 14400 ft³/min.

Inverse check: 1 ft³/min = 0.0166667 ft³/s.

Understanding Cubic foot/second and Cubic foot/minute

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/minute
Standard river streamflow hydrograph discharge measurement unit (cfs / 448.8 gpm)	`1 cfs`	`60 ft³/min`
Small recreational trout fishing mountain river streamflow discharge	`100 cfs`	`6000 ft³/min`
Colorado River natural carved streamflow carving through the Grand Canyon	`14000 cfs`	`840000 ft³/min`

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 60 cubic feet/minute (ft³/min) 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 60.

The mathematical formula to convert cubic feet/second to cubic feet/minute is: [value] * 60 = cubic feet/minute. 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/minute back to cubic feet/second, you must divide your starting value by 60. Our bidirectional tool automatically computes this inverse equation the moment you type into the cubic foot/minute input field.

1 Cubic foot/second is larger than 1 Cubic foot/minute. Specifically, 1 Cubic foot/second equals exactly 60 cubic feet/minute, making it 60 times larger (a difference of 1.78 orders of magnitude). Therefore, quantities expressed in cubic feet/minute require a larger numerical value to represent the same physical amount.

A typical standard river streamflow hydrograph discharge measurement unit (cfs / 448.8 gpm) measures 1 cfs, which corresponds to 60 Cubic Foot Per Minute (Cubic foot/minute).

Under ISO 80000 standard flow metrology, the exact conversion is 1 ft³/s = 59.9999 ft³/min.

The precise volumetric flow rate equation is V(ft³/min) = V(ft³/s) × 59.9999.

To calculate the inverse conversion, use the equation V(ft³/s) = V(ft³/min) × 0.0166667.

Industrial gas pipelines quantify extreme delivery rates in ft³/s, scaling to ft³/min (CFM) for downstream pneumatic machinery specifications.

Related Cubic foot/second and Cubic foot/minute Conversions

Convert Cubic foot/second to Other Units

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Convert Other Units to Cubic foot/minute

Cubic meter/second to Cubic foot/minute Liter/minute to Cubic foot/minute Liter/second to Cubic foot/minute Gallon (US)/minute to Cubic foot/minute

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