Acre-feet/hour to Cubic Meters/second Converter (ac·ft/h to m³/s)

Rate this converter

Instant calculation with 0ms overhead

Popular Converters

Live Conversion • ISO 80000-4:2019 Certified

1 Acre-foot/hour = 0.34263384 Cubic meter/second

1 ac·ft/h = 0.342634 m³/s • 1 m³/s = 2.918567 ac·ft/h

Decimals:

Certified Authority Value

0.34263384

m³/s

From / Input

ac·ft/h

Swap to Cubic meter/second to Acre-foot/hour

To / Result

m³/s

Quick Values:

Conversion Formula

To convert Acre-foot/hour to Cubic meter/second, multiply by 0.34263384

ac·ft/h × 0.34263384 = m³/s

Calculation: 1 ac·ft/h × 0.34263384 = 0.34263384 m³/s

Common Acre-foot/hour to Cubic meter/second Calculations

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

Tap any row to calculate

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

Rule: 1 Acre-foot/hour is equal to 0.342634 m³/s (Cubic meter/second)

Acre-foot/hour to Cubic meter/second Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 ac·ft/h 0.000342634 m³/s	3.426 × 10⁻⁴
0.01 ac·ft/h 0.00342634 m³/s	3.426 × 10⁻³
0.1 ac·ft/h 0.0342634 m³/s	3.426 × 10⁻²
0.5 ac·ft/h 0.171317 m³/s	1.713 × 10⁻¹
1 ac·ft/h 0.342634 m³/s	3.426 × 10⁻¹
2 ac·ft/h 0.685268 m³/s	6.853 × 10⁻¹
5 ac·ft/h 1.713169 m³/s	1.713 × 10⁰
10 ac·ft/h 3.426338 m³/s	3.426 × 10⁰
20 ac·ft/h 6.852677 m³/s	6.853 × 10⁰
25 ac·ft/h 8.565846 m³/s	8.566 × 10⁰
50 ac·ft/h 17.131692 m³/s	1.713 × 10¹
100 ac·ft/h 34.263384 m³/s	3.426 × 10¹
250 ac·ft/h 85.658461 m³/s	8.566 × 10¹
500 ac·ft/h 171.316922 m³/s	1.713 × 10²
1000 ac·ft/h 342.633844 m³/s	3.426 × 10²

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

Rule: 1 Cubic meter/second is equal to 2.918567 ac·ft/h (Acre-foot/hour)

Cubic meter/second to Acre-foot/hour Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 m³/s 2.918567 ac·ft/h	2.919 × 10⁰
5 m³/s 14.592837 ac·ft/h	1.459 × 10¹
10 m³/s 29.185675 ac·ft/h	2.919 × 10¹
50 m³/s 145.928375 ac·ft/h	1.459 × 10²
100 m³/s 291.85675 ac·ft/h	2.919 × 10²

View Complete 15-Row Cubic meter/second to Acre-foot/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 Acre-foot/hour (ac·ft/h) and Cubic meter/second (m³/s):

Acre-foot/hour References:

Catastrophic hydroelectric reservoir emergency spillway crest flood discharge 100 ac·ft/h

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 Acre-foot/hour to Cubic meter/second

Converting Acre-foot/hour (ac·ft/h) 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 Acre-foot/hour equals 0.342634 Cubic meter/second, while 1 m³/s equals 2.918567 ac·ft/h.

Direct Factor1 ac·ft/h = 0.342634 m³/s

Inverse Ratio1 m³/s = 2.918567 ac·ft/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 ac·ft/h = 0.342634 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 Acre-foot/hour → Cubic meter/second:V(m³/s) = V(ac·ft/h) × ( 0.342634 / 1 ) = V(ac·ft/h) × 0.342634

Mathematical FormulaValue in Cubic meter/second = Value in Acre-foot/hour × 0.34263384Direct computational formula applied for standard conversion.

Worked Example

To convert 50 Acre-foot/hour (ac·ft/h) to Cubic meter/second (m³/s): multiply 50 by 0.342634 to get 17.131692 m³/s. At an industrial engineering scale, 1000 ac·ft/h converts to 342.633844 m³/s.

Inverse check: 1 m³/s = 2.918567 ac·ft/h.

Understanding Acre-foot/hour 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
Catastrophic hydroelectric reservoir emergency spillway crest flood discharge	`100 ac·ft/h`	`34.263384 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 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): ac·ft/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 ac·ft/h at Water (20°C / Standard Ambient) = 342.0171 kg/s

Equals 1231261.5702 kg/h • 754.0186 lb/s • 2714467.11 lb/h

SI Mass Flow

342.0171

kg/s

Kilograms per Second

Industrial Process

1231261.5702

kg/h

Kilograms per Hour

US Mass Flow

754.0186

lb/s

Pounds per Second

Boiler / Turbine Rating

2714467.11

lb/h

Pounds per Hour

Heavy Plant Header

1231.2616

t/h

Metric Tons per Hour

Chemical / Laboratory

342017.1028

g/s

Grams per Second

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (m³/s):
Q = 1 ac·ft/h × 0.34263384 = 0.34263384 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 = (0.34263384 m³/s) × (998.2 kg/m³) = 342.017103 kg/s
4. Convert to Standard Engineering Units:
• kg/s: 342.017103 × 1 = 342.0171 kg/s (Kilograms per Second) • kg/h: 342.017103 × 3600 = 1231261.5702 kg/h (Kilograms per Hour) • lb/s: 342.017103 × 2.2046 = 754.0186 lb/s (Pounds per Second) • lb/h: 342.017103 × 7936.6414 = 2714467.11 lb/h (Pounds per Hour) • t/h: 342.017103 × 3.6 = 1231.2616 t/h (Metric Tons per Hour) • g/s: 342.017103 × 1000 = 342017.1028 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 0.34263384 cubic meters/second (m³/s) in 1 acre-foot/hour (ac·ft/h). To calculate larger amounts manually, simply multiply your total number of acre-feet/hour by the conversion multiplier of 0.34263384.

The mathematical formula to convert acre-feet/hour to cubic meters/second is: [value] * 0.34263384 = 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 acre-feet/hour, you must divide your starting value by 0.34263384. 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 Acre-foot/hour. Specifically, 1 Acre-foot/hour equals 0.34263384 cubic meters/second, meaning 1 Cubic meter/second is 2.9186 times larger than 1 Acre-foot/hour (a difference of 0.47 orders of magnitude). Expressing measurements in acre-feet/hour requires a larger numerical value to represent the equivalent physical magnitude.

A typical catastrophic hydroelectric reservoir emergency spillway crest flood discharge measures 100 ac·ft/h, which corresponds to 34.2634 Cubic Meter Per Second (Cubic meter/second).