Cubic Meters/hour to Cubic Feet/second Converter (m³/h to ft³/s)

Rate this converter

Instant calculation with 0ms overhead

Popular Converters

Live Conversion • ISO 80000-4:2019 Certified

1 Cubic meter/hour = 0.0098096296 Cubic foot/second

1 m³/h = 0.00980963 ft³/s • 1 ft³/s = 101.940648 m³/h

Decimals:

Certified Authority Value

0.00980963

ft³/s

From / Input

m³/h

Swap to Cubic foot/second to Cubic meter/hour

To / Result

ft³/s

Quick Values:

Conversion Formula

To convert Cubic meter/hour to Cubic foot/second, multiply by 0.0098096296

m³/h × 0.0098096296 = ft³/s

Calculation: 1 m³/h × 0.0098096296 = 0.0098096296 ft³/s

Common Cubic meter/hour to Cubic foot/second Calculations

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

Tap any row to calculate

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

Rule: 1 Cubic meter/hour is equal to 0.00980963 ft³/s (Cubic foot/second)

Cubic meter/hour to Cubic foot/second Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 m³/h 9.80963 × 10⁻⁶ ft³/s	9.81 × 10⁻⁶
0.01 m³/h 9.80963 × 10⁻⁵ ft³/s	9.81 × 10⁻⁵
0.1 m³/h 0.000980963 ft³/s	9.81 × 10⁻⁴
0.5 m³/h 0.00490481 ft³/s	4.905 × 10⁻³
1 m³/h 0.00980963 ft³/s	9.81 × 10⁻³
2 m³/h 0.0196193 ft³/s	1.962 × 10⁻²
5 m³/h 0.0490481 ft³/s	4.905 × 10⁻²
10 m³/h 0.0980963 ft³/s	9.81 × 10⁻²
20 m³/h 0.196193 ft³/s	1.962 × 10⁻¹
25 m³/h 0.245241 ft³/s	2.452 × 10⁻¹
50 m³/h 0.490481 ft³/s	4.905 × 10⁻¹
100 m³/h 0.980963 ft³/s	9.81 × 10⁻¹
250 m³/h 2.452407 ft³/s	2.452 × 10⁰
500 m³/h 4.904815 ft³/s	4.905 × 10⁰
1000 m³/h 9.80963 ft³/s	9.81 × 10⁰

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

Rule: 1 Cubic foot/second is equal to 101.940648 m³/h (Cubic meter/hour)

Cubic foot/second to Cubic meter/hour Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 ft³/s 101.940648 m³/h	1.019 × 10²
5 ft³/s 509.703239 m³/h	5.097 × 10²
10 ft³/s 1019.406477 m³/h	1.019 × 10³
50 ft³/s 5097.032387 m³/h	5.097 × 10³
100 ft³/s 10194.064773 m³/h	1.019 × 10⁴

View Complete 15-Row Cubic foot/second to Cubic meter/hour Table

Real-World Context & Everyday Benchmarks

Tap to load into converter

To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Cubic meter/hour (m³/h) and Cubic foot/second (ft³/s):

Cubic meter/hour References:

Municipal street fire hydrant flow test inspection discharge capacity 200 m³/h
Residential swimming pool diatomaceous earth filtration pump circulation 15 m³/h

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/hour to Cubic foot/second

Converting Cubic meter/hour (m³/h) 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/hour equals 0.00980963 Cubic foot/second, while 1 ft³/s equals 101.940648 m³/h.

Direct Factor1 m³/h = 0.00980963 ft³/s

Inverse Ratio1 ft³/s = 101.940648 m³/h

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/h = 0.000277778 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/hour → Cubic foot/second:V(ft³/s) = V(m³/h) × ( 0.000277778 / 0.0283168 ) = V(m³/h) × 0.00980963

Mathematical FormulaValue in Cubic foot/second = Value in Cubic meter/hour × 0.0098096296Direct computational formula applied for standard conversion.

Worked Example

To convert 12 Cubic meter/hour (m³/h) to Cubic foot/second (ft³/s): multiply 12 by 0.00980963 to get 0.117716 ft³/s. At an industrial engineering scale, 240 m³/h converts to 2.354311 ft³/s.

Inverse check: 1 ft³/s = 101.940648 m³/h.

Understanding Cubic meter/hour 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
Municipal street fire hydrant flow test inspection discharge capacity	`200 m³/h`	`1.961926 ft³/s`
Residential swimming pool diatomaceous earth filtration pump circulation	`15 m³/h`	`0.147144 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 Fluid Continuity & Mass Flux

Volumetric to Mass Flow Continuity Bridge (kg/s • kg/h • lb/s • lb/h • t/h • g/s)

Convert volumetric flow rate (Q) directly into physical mass flow rate (ṁ) across process fluids using the continuity relation ṁ = ρ × Q, bridging volume flow [L³ T⁻¹] and mass flow [M T⁻¹] via density (ρ).

Input Volumetric Flow Rate (Q): m³/h

Select Fluid Density: 998.2 kg/m³

Governing Law: ṁ = ρ × Q

Vector: [m³/s] × [kg/m³] → [kg/s]

Live Calculated Bridge Equivalent:

1 m³/h at Water (20°C / Standard Ambient) = 0.2773 kg/s

Equals 998.2 kg/h • 0.6113 lb/s • 2200.65 lb/h

SI Mass Flow

0.2773

kg/s

Kilograms per Second

Industrial Process

998.2

kg/h

Kilograms per Hour

US Mass Flow

0.6113

lb/s

Pounds per Second

Boiler / Turbine Rating

2200.65

lb/h

Pounds per Hour

Heavy Plant Header

0.9982

t/h

Metric Tons per Hour

Chemical / Laboratory

277.2778

g/s

Grams per Second

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (m³/s):
Q = 1 m³/h × 0.00027778 = 0.00027778 m³/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:
ṁ = ρ × Q = (0.00027778 m³/s) × (998.2 kg/m³) = 0.277278 kg/s
4. Convert to Standard Engineering Units:
• kg/s: 0.277278 × 1 = 0.2773 kg/s (Kilograms per Second) • kg/h: 0.277278 × 3600 = 998.2 kg/h (Kilograms per Hour) • lb/s: 0.277278 × 2.2046 = 0.6113 lb/s (Pounds per Second) • lb/h: 0.277278 × 7936.6414 = 2200.65 lb/h (Pounds per Hour) • t/h: 0.277278 × 3.6 = 0.9982 t/h (Metric Tons per Hour) • g/s: 0.277278 × 1000 = 277.2778 g/s (Grams per Second)

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`	998.2 kg/m³	HVAC hydronic & cooling water
Diesel Fuel (EN 590 / 20°C)	`832`	832.0 kg/m³	Generator & marine diesel consumption
Gasoline / Petrol (15°C)	`740`	740.0 kg/m³	Automotive fuel injection lines
Hydraulic Fluid (ISO VG 46)	`870`	870.0 kg/m³	Hydraulic power pack pumps
Air (Standard Ambient / NTP 20°C)	`1.204`	1.204 kg/m³	HVAC ductwork & compressor air

Frequently Asked Questions

There are exactly 0.0098096296 cubic feet/second (ft³/s) in 1 cubic meter/hour (m³/h). To calculate larger amounts manually, simply multiply your total number of cubic meters/hour by the conversion multiplier of 0.0098096296.

The mathematical formula to convert cubic meters/hour to cubic feet/second is: [value] * 0.0098096296 = 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/hour, you must divide your starting value by 0.0098096296. 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 meter/hour. Specifically, 1 Cubic meter/hour equals 0.0098096296 cubic feet/second, meaning 1 Cubic foot/second is 101.9406 times larger than 1 Cubic meter/hour (a difference of 2.01 orders of magnitude). Expressing measurements in cubic meters/hour requires a larger numerical value to represent the equivalent physical magnitude.

A typical municipal street fire hydrant flow test inspection discharge capacity measures 200 m³/h, which corresponds to 1.9619 Cubic Foot Per Second (Cubic foot/second).