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Cubic Inches/second to Cubic Centimeters/hour Converter (in³/s to cm³/h)

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Live Conversion • ISO 80000-4:2019 Certified
1 Cubic inch/second = 58993.4304 Cubic centimeter/hour
1 in³/s = 58993.4304 cm³/h • 1 cm³/h = 1.695104 × 10⁻⁵ in³/s
Cubic inch/second to Cubic centimeter/hour: One Cubic inch/second is equal to 58993.4304 Cubic Centimeters/hour.
Certified Authority Value
58993.43040000
cm³/h
Exact: 1 cm³/h ≡ 1.6951040026 × 10⁻⁵ in³/s
in³/s
in³/s
Swap to Cubic centimeter/hour to Cubic inch/second
Swap to Cubic centimeter/hour to Cubic inch/second
cm³/h
cm³/h 58993.4304
Quick Values:
Conversion Formula
To convert Cubic inch/second to Cubic centimeter/hour, multiply by 58993.4304
in³/s × 58993.4304 = cm³/h

Calculation: 1 in³/s × 58993.4304 = 58993.4304 cm³/h

Common Cubic inch/second to Cubic centimeter/hour Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Cubic inch/second (in³/s) and Cubic centimeter/hour (cm³/h).

Tap any row to calculate
Cubic inch/second to Cubic centimeter/hour: Primary Direct Table (15 Steps)
Cubic inch/second to Cubic centimeter/hour Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 in³/s 58.99343 cm³/h 5.899 × 10¹
0.01 in³/s 589.934304 cm³/h 5.899 × 10²
0.1 in³/s 5899.34304 cm³/h 5.899 × 10³
0.5 in³/s 29496.7152 cm³/h 2.95 × 10⁴
1 in³/s 58993.4304 cm³/h 5.899 × 10⁴
2 in³/s 117986.8608 cm³/h 1.18 × 10⁵
5 in³/s 294967.152 cm³/h 2.95 × 10⁵
10 in³/s 589934.304 cm³/h 5.899 × 10⁵
20 in³/s 1179868.608 cm³/h 1.18 × 10⁶
25 in³/s 1474835.76 cm³/h 1.475 × 10⁶
50 in³/s 2949671.52 cm³/h 2.95 × 10⁶
100 in³/s 5899343.04 cm³/h 5.899 × 10⁶
250 in³/s 1.474836 × 10⁷ cm³/h 1.475 × 10⁷
500 in³/s 2.949672 × 10⁷ cm³/h 2.95 × 10⁷
1000 in³/s 5.899343 × 10⁷ cm³/h 5.899 × 10⁷
Cubic centimeter/hour to Cubic inch/second: Reciprocal Summary
Cubic centimeter/hour to Cubic inch/second Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 cm³/h 1.695104 × 10⁻⁵ in³/s 1.695 × 10⁻⁵
5 cm³/h 8.47552 × 10⁻⁵ in³/s 8.476 × 10⁻⁵
10 cm³/h 0.00016951 in³/s 1.695 × 10⁻⁴
50 cm³/h 0.000847552 in³/s 8.476 × 10⁻⁴
100 cm³/h 0.0016951 in³/s 1.695 × 10⁻³
View Complete 15-Row Cubic centimeter/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 Cubic centimeter/hour (cm³/h):

Cubic inch/second References:

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

Cubic centimeter/hour References:

  • Hospital clinical patient syringe infusion pump intravenous drug delivery 20 cm³/h

Tap any benchmark above to automatically calculate its exact equivalent in Cubic centimeter/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 Cubic centimeter/hour

Converting Cubic inch/second (in³/s) to Cubic centimeter/hour (cm³/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 58993.4304 Cubic centimeter/hour, while 1 cm³/h equals 1.695104 × 10⁻⁵ in³/s.

Direct Factor1 in³/s = 58993.4304 cm³/h
Inverse Ratio1 cm³/h = 1.695104 × 10⁻⁵ 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 cm³/h = 2.777778 × 10⁻¹⁰ cubic meter per second (m³/s)
Step-by-step substitution for Cubic inch/second → Cubic centimeter/hour:V(cm³/h) = V(in³/s) × ( 1.638706 × 10⁻⁵ / 2.777778 × 10⁻¹⁰ ) = V(in³/s) × 58993.4304
Mathematical FormulaValue in Cubic centimeter/hour = Value in Cubic inch/second × 58993.4304Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 250 in³/s, applying the conversion factor yields exactly 1.474836 × 10⁷ cm³/h. At larger operational scale, 240 Cubic inch/second corresponds to 1.415842 × 10⁷ cm³/h.

Inverse check: 1 cm³/h = 1.695104 × 10⁻⁵ in³/s.

Understanding Cubic inch/second and Cubic centimeter/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

Cubic centimeter/hour

cm³/h
Standard Unit

A Cubic centimeter/hour (cm³/h) is a recognized unit for volumetric flow rate.

Applications & Practical Context

In practical flow terms, a hospital clinical patient syringe infusion pump intravenous drug delivery equals 20 cm³/h.

Physical Setup

A physical magnitude of 1 cm³/h corresponds to 2.777778 × 10⁻¹⁰ m³/s in standard SI measurement.

Conversion to SI Unit: cubic meter per second (m³/s)
1 cm³/h = 2.777778 × 10⁻¹⁰ 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 centimeter/hour
Automotive power steering hydraulic pump pressurized fluid delivery rate20 cu in/s1179868.608 cm³/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 58993.4304 cubic centimeters/hour (cm³/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 58993.4304.

The mathematical formula to convert cubic inches/second to cubic centimeters/hour is: [value] * 58993.4304 = cubic centimeters/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 cubic centimeters/hour back to cubic inches/second, you must divide your starting value by 58993.4304. Our bidirectional tool automatically computes this inverse equation the moment you type into the cubic centimeter/hour input field.

1 Cubic inch/second is larger than 1 Cubic centimeter/hour. Specifically, 1 Cubic inch/second equals exactly 58993.4304 cubic centimeters/hour, making it 58993.4304 times larger (a difference of 4.77 orders of magnitude). Therefore, quantities expressed in cubic centimeters/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 1179868.608 Cubic Centimeter Per Hour (Cubic centimeter/hour).

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