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

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Live Conversion • ISO 80000-4:2019 Certified
1 Cubic inch/second = 58.9934304 Liter/hour
1 in³/s = 58.99343 L/h • 1 L/h = 0.016951 in³/s
Cubic inch/second to Liter/hour: One Cubic inch/second is equal to 58.9934304 Liters/hour.
Certified Authority Value
58.99343040
L/h
Exact: 1 L/h ≡ 0.01695104003 in³/s
in³/s
in³/s
Swap to Liter/hour to Cubic inch/second
Swap to Liter/hour to Cubic inch/second
L/h
L/h 58.9934304
Quick Values:
Conversion Formula
To convert Cubic inch/second to Liter/hour, multiply by 58.9934304
in³/s × 58.9934304 = L/h

Calculation: 1 in³/s × 58.9934304 = 58.9934304 L/h

Common Cubic inch/second to Liter/hour Calculations

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

Tap any row to calculate
Cubic inch/second to Liter/hour: Primary Direct Table (15 Steps)
Cubic inch/second to Liter/hour Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 in³/s 0.0589934 L/h 5.899 × 10⁻²
0.01 in³/s 0.589934 L/h 5.899 × 10⁻¹
0.1 in³/s 5.899343 L/h 5.899 × 10⁰
0.5 in³/s 29.496715 L/h 2.95 × 10¹
1 in³/s 58.99343 L/h 5.899 × 10¹
2 in³/s 117.986861 L/h 1.18 × 10²
5 in³/s 294.967152 L/h 2.95 × 10²
10 in³/s 589.934304 L/h 5.899 × 10²
20 in³/s 1179.868608 L/h 1.18 × 10³
25 in³/s 1474.83576 L/h 1.475 × 10³
50 in³/s 2949.67152 L/h 2.95 × 10³
100 in³/s 5899.34304 L/h 5.899 × 10³
250 in³/s 14748.3576 L/h 1.475 × 10⁴
500 in³/s 29496.7152 L/h 2.95 × 10⁴
1000 in³/s 58993.4304 L/h 5.899 × 10⁴
Liter/hour to Cubic inch/second: Reciprocal Summary
Liter/hour to Cubic inch/second Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 L/h 0.016951 in³/s 1.695 × 10⁻²
5 L/h 0.0847552 in³/s 8.476 × 10⁻²
10 L/h 0.16951 in³/s 1.695 × 10⁻¹
50 L/h 0.847552 in³/s 8.476 × 10⁻¹
100 L/h 1.695104 in³/s 1.695 × 10⁰
View Complete 15-Row Liter/hour to Cubic inch/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 inch/second (in³/s) and Liter/hour (L/h):

Cubic inch/second References:

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

Tap any benchmark above to automatically calculate its exact equivalent in Liter/hour.

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

How to Convert Cubic inch/second to Liter/hour

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

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

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 in³/s = 1.638706 × 10⁻⁵ cubic meter per second (m³/s)
2. Target SI Bridge (ktarget):1 L/h = 2.777778 × 10⁻⁷ cubic meter per second (m³/s)
Step-by-step substitution for Cubic inch/second → Liter/hour:V(L/h) = V(in³/s) × ( 1.638706 × 10⁻⁵ / 2.777778 × 10⁻⁷ ) = V(in³/s) × 58.99343
Mathematical FormulaValue in Liter/hour = Value in Cubic inch/second × 58.9934304Direct computational formula applied for standard conversion.
Worked Example

To convert 24 Cubic inch/second (in³/s) to Liter/hour (L/h): multiply 24 by 58.99343 to get 1415.84233 L/h. At an industrial engineering scale, 240 in³/s converts to 14158.423296 L/h.

Inverse check: 1 L/h = 0.016951 in³/s.

Understanding Cubic inch/second and Liter/hour

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

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

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 Liter/hour
Automotive power steering hydraulic pump pressurized fluid delivery rate20 cu in/s1179.868608 L/h
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 in³/s at Water (20°C / Standard Ambient) = 0.01636 kg/s
Equals 58.8872 kg/h • 0.03606 lb/s • 129.82 lb/h
SI Mass Flow
0.01636
kg/s
Kilograms per Second
Industrial Process
58.8872
kg/h
Kilograms per Hour
US Mass Flow
0.03606
lb/s
Pounds per Second
Boiler / Turbine Rating
129.82
lb/h
Pounds per Hour
Heavy Plant Header
0.05889
t/h
Metric Tons per Hour
Chemical / Laboratory
16.3576
g/s
Grams per Second
  1. 1. Normalize Input to SI Base Unit (m³/s):
    Q = 1 in³/s × 1.6387064 × 10⁻⁵ = 1.6387064 × 10⁻⁵ 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 = (1.6387064 × 10⁻⁵ m³/s) × (998.2 kg/m³) = 0.0163576 kg/s
  4. 4. Convert to Standard Engineering Units:
    • kg/s: 0.0163576 × 1 = 0.01636 kg/s (Kilograms per Second) • kg/h: 0.0163576 × 3600 = 58.8872 kg/h (Kilograms per Hour) • lb/s: 0.0163576 × 2.2046 = 0.03606 lb/s (Pounds per Second) • lb/h: 0.0163576 × 7936.6414 = 129.82 lb/h (Pounds per Hour) • t/h: 0.0163576 × 3.6 = 0.05889 t/h (Metric Tons per Hour) • g/s: 0.0163576 × 1000 = 16.3576 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 58.9934304 liters/hour (L/h) in 1 cubic inch/second (in³/s). To calculate larger amounts manually, simply multiply your total number of cubic inches/second by the conversion multiplier of 58.9934304.

The mathematical formula to convert cubic inches/second to liters/hour is: [value] * 58.9934304 = liters/hour. 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 liters/hour back to cubic inches/second, you must divide your starting value by 58.9934304. Our bidirectional tool automatically computes this inverse equation the moment you type into the liter/hour input field.

1 Cubic inch/second is larger than 1 Liter/hour. Specifically, 1 Cubic inch/second equals exactly 58.9934304 liters/hour, making it 58.9934 times larger (a difference of 1.77 orders of magnitude). Therefore, quantities expressed in liters/hour require a larger numerical value to represent the same physical amount.

A typical automotive power steering hydraulic pump pressurized fluid delivery rate measures 20 cu in/s, which corresponds to 1179.8686 Liter Per Hour (Liter/hour).

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