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Liters/hour to Cubic Inches/second Converter (L/h to in³/s)

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Live Conversion • ISO 80000-4:2019 Certified
1 Liter/hour = 0.01695104 Cubic inch/second
1 L/h = 0.016951 in³/s • 1 in³/s = 58.99343 L/h
Liter/hour to Cubic inch/second: One Liter/hour is equal to 0.01695104 Cubic Inches/second.
Certified Authority Value
0.01695104
in³/s
Exact: 1 in³/s ≡ 58.9934304 L/h
L/h
L/h
Swap to Cubic inch/second to Liter/hour
Swap to Cubic inch/second to Liter/hour
in³/s
in³/s 0.01695104
Quick Values:
Conversion Formula
To convert Liter/hour to Cubic inch/second, multiply by 0.01695104
L/h × 0.01695104 = in³/s

Calculation: 1 L/h × 0.01695104 = 0.01695104 in³/s

Common Liter/hour to Cubic inch/second Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Liter/hour (L/h) and Cubic inch/second (in³/s).

Tap any row to calculate
Liter/hour to Cubic inch/second: Primary Direct Table (15 Steps)
Liter/hour to Cubic inch/second Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 L/h 1.695104 × 10⁻⁵ in³/s 1.695 × 10⁻⁵
0.01 L/h 0.00016951 in³/s 1.695 × 10⁻⁴
0.1 L/h 0.0016951 in³/s 1.695 × 10⁻³
0.5 L/h 0.00847552 in³/s 8.476 × 10⁻³
1 L/h 0.016951 in³/s 1.695 × 10⁻²
2 L/h 0.0339021 in³/s 3.39 × 10⁻²
5 L/h 0.0847552 in³/s 8.476 × 10⁻²
10 L/h 0.16951 in³/s 1.695 × 10⁻¹
20 L/h 0.339021 in³/s 3.39 × 10⁻¹
25 L/h 0.423776 in³/s 4.238 × 10⁻¹
50 L/h 0.847552 in³/s 8.476 × 10⁻¹
100 L/h 1.695104 in³/s 1.695 × 10⁰
250 L/h 4.23776 in³/s 4.238 × 10⁰
500 L/h 8.47552 in³/s 8.476 × 10⁰
1000 L/h 16.95104 in³/s 1.695 × 10¹
Cubic inch/second to Liter/hour: Reciprocal Summary
Cubic inch/second to Liter/hour Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 in³/s 58.99343 L/h 5.899 × 10¹
5 in³/s 294.967152 L/h 2.95 × 10²
10 in³/s 589.934304 L/h 5.899 × 10²
50 in³/s 2949.67152 L/h 2.95 × 10³
100 in³/s 5899.34304 L/h 5.899 × 10³
View Complete 15-Row Cubic inch/second to Liter/hour 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 Liter/hour (L/h) and Cubic inch/second (in³/s):

Liter/hour References:

  • Agricultural drip irrigation emitter delivery rate for vineyard grapevines 4 L/h
  • Residential whole-home evaporative central furnace humidifier water feed 3 L/h

Cubic inch/second References:

  • Automotive power steering hydraulic pump pressurized fluid delivery rate 20 cu in/s

Tap any benchmark above to automatically calculate its exact equivalent in Cubic inch/second.

ISQ Dimension: [L³ T⁻¹] Coherent SI Unit: cubic meter per second (m³/s) Fluid Dynamics & Rheology

How to Convert Liter/hour to Cubic inch/second

Converting Liter/hour (L/h) to Cubic inch/second (in³/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 Liter/hour equals 0.016951 Cubic inch/second, while 1 in³/s equals 58.99343 L/h.

Direct Factor1 L/h = 0.016951 in³/s
Inverse Ratio1 in³/s = 58.99343 L/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:

Vtarget=Vsource×(ksource→SIktarget→SI)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 (ksource):1 L/h = 2.777778 × 10⁻⁷ cubic meter per second (m³/s)
2. Target SI Bridge (ktarget):1 in³/s = 1.638706 × 10⁻⁵ cubic meter per second (m³/s)
Step-by-step substitution for Liter/hour → Cubic inch/second:V(in³/s) = V(L/h) × ( 2.777778 × 10⁻⁷ / 1.638706 × 10⁻⁵ ) = V(L/h) × 0.016951
Mathematical FormulaValue in Cubic inch/second = Value in Liter/hour × 0.01695104Direct computational formula applied for standard conversion.
Worked Example

Evaluating an input of 120 Liter/hour (L/h) produces 2.034125 Cubic inch/second (in³/s). In heavy-duty utility and industrial workloads, 2500 L/h equals 42.3776 in³/s.

Inverse check: 1 in³/s = 58.99343 L/h.

Understanding Liter/hour and Cubic inch/second

Liter/hour

L/h
Standard Unit

A Liter/hour (L/h) is a recognized unit for volumetric flow rate.

Applications & Practical Context

In practical flow terms, a agricultural drip irrigation emitter delivery rate for vineyard grapevines equals 4 L/h, a residential whole-home evaporative central furnace humidifier water feed equals 3 L/h.

Physical Setup

A physical magnitude of 1 L/h corresponds to 2.777778 × 10⁻⁷ m³/s in standard SI measurement.

Conversion to SI Unit: cubic meter per second (m³/s)
1 L/h = 2.777778 × 10⁻⁷ m³/s

Cubic inch/second

in³/s
Imperial / US

A Cubic inch/second (in³/s) is an imperial and US customary unit for volumetric flow rate.

Applications & Practical Context

In practical flow terms, a automotive power steering hydraulic pump pressurized fluid delivery rate equals 20 cu in/s.

Physical Setup

A physical magnitude of 1 in³/s corresponds to 1.638706 × 10⁻⁵ m³/s in standard SI measurement.

Conversion to SI Unit: cubic meter per second (m³/s)
1 in³/s = 1.638706 × 10⁻⁵ m³/s

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 ReferenceReference ValueConverted to Cubic inch/second
Agricultural drip irrigation emitter delivery rate for vineyard grapevines4 L/h0.0678042 in³/s
Residential whole-home evaporative central furnace humidifier water feed3 L/h0.0508531 in³/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).

ṁ = ρ × Q
Vector: [m³/s] × [kg/m³] → [kg/s]
Live Calculated Bridge Equivalent:
1 L/h at Water (20°C / Standard Ambient) = 0.0002773 kg/s
Equals 0.9982 kg/h • 0.0006113 lb/s • 2.2 lb/h
SI Mass Flow
0.0002773
kg/s
Kilograms per Second
Industrial Process
0.9982
kg/h
Kilograms per Hour
US Mass Flow
0.0006113
lb/s
Pounds per Second
Boiler / Turbine Rating
2.2
lb/h
Pounds per Hour
Heavy Plant Header
0.0009982
t/h
Metric Tons per Hour
Chemical / Laboratory
0.2773
g/s
Grams per Second
  1. 1. Normalize Input to SI Base Unit (m³/s):
    Q = 1 L/h × 2.77777778 × 10⁻⁷ = 2.77777778 × 10⁻⁷ m³/s
  2. 2. Apply Engineering Parameter (ρ):
    Selected condition: Water (20°C / Standard Ambient) at ρ = 998.2 kg/m³
  3. 3. Execute Governing Physical Law in SI Units:
    ṁ = ρ × Q = (2.77777778 × 10⁻⁷ m³/s) × (998.2 kg/m³) = 0.00027728 kg/s
  4. 4. Convert to Standard Engineering Units:
    • kg/s: 0.00027728 × 1 = 0.0002773 kg/s (Kilograms per Second) • kg/h: 0.00027728 × 3600 = 0.9982 kg/h (Kilograms per Hour) • lb/s: 0.00027728 × 2.2046 = 0.0006113 lb/s (Pounds per Second) • lb/h: 0.00027728 × 7936.6414 = 2.2 lb/h (Pounds per Hour) • t/h: 0.00027728 × 3.6 = 0.0009982 t/h (Metric Tons per Hour) • g/s: 0.00027728 × 1000 = 0.2773 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
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Frequently Asked Questions

There are exactly 0.01695104 cubic inches/second (in³/s) in 1 liter/hour (L/h). To calculate larger amounts manually, simply multiply your total number of liters/hour by the conversion multiplier of 0.01695104.

The mathematical formula to convert liters/hour to cubic inches/second is: [value] * 0.01695104 = cubic inches/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 inches/second back to liters/hour, you must divide your starting value by 0.01695104. Our bidirectional tool automatically computes this inverse equation the moment you type into the cubic inch/second input field.

1 Cubic inch/second is larger than 1 Liter/hour. Specifically, 1 Liter/hour equals 0.01695104 cubic inches/second, meaning 1 Cubic inch/second is 58.9934 times larger than 1 Liter/hour (a difference of 1.77 orders of magnitude). Expressing measurements in liters/hour requires a larger numerical value to represent the equivalent physical magnitude.

A typical agricultural drip irrigation emitter delivery rate for vineyard grapevines measures 4 L/h, which corresponds to 0.0678 Cubic Inch Per Second (Cubic inch/second).

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