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

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Live Conversion • ISO 80000-4:2019 Certified

1 Cubic inch/second = 16.387064 Cubic centimeter/second

1 in³/s = 16.387064 cm³/s • 1 cm³/s = 0.0610237 in³/s

Decimals:

Certified Authority Value

16.38706400

cm³/s

From / Input

in³/s

Swap to Cubic centimeter/second to Cubic inch/second

To / Result

cm³/s

Quick Values:

Conversion Formula

To convert Cubic inch/second to Cubic centimeter/second, multiply by 16.387064

in³/s × 16.387064 = cm³/s

Calculation: 1 in³/s × 16.387064 = 16.387064 cm³/s

Common Cubic inch/second to Cubic centimeter/second Calculations

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

Tap any row to calculate

Cubic inch/second to Cubic centimeter/second: Primary Direct Table (15 Steps)

Rule: 1 Cubic inch/second is equal to 16.387064 cm³/s (Cubic centimeter/second)

Cubic inch/second to Cubic centimeter/second Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 in³/s 0.0163871 cm³/s	1.639 × 10⁻²
0.01 in³/s 0.163871 cm³/s	1.639 × 10⁻¹
0.1 in³/s 1.638706 cm³/s	1.639 × 10⁰
0.5 in³/s 8.193532 cm³/s	8.194 × 10⁰
1 in³/s 16.387064 cm³/s	1.639 × 10¹
2 in³/s 32.774128 cm³/s	3.277 × 10¹
5 in³/s 81.93532 cm³/s	8.194 × 10¹
10 in³/s 163.87064 cm³/s	1.639 × 10²
20 in³/s 327.74128 cm³/s	3.277 × 10²
25 in³/s 409.6766 cm³/s	4.097 × 10²
50 in³/s 819.3532 cm³/s	8.194 × 10²
100 in³/s 1638.7064 cm³/s	1.639 × 10³
250 in³/s 4096.766 cm³/s	4.097 × 10³
500 in³/s 8193.532 cm³/s	8.194 × 10³
1000 in³/s 16387.064 cm³/s	1.639 × 10⁴

Cubic centimeter/second to Cubic inch/second: Reciprocal Summary

Rule: 1 Cubic centimeter/second is equal to 0.0610237 in³/s (Cubic inch/second)

Cubic centimeter/second to Cubic inch/second Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 cm³/s 0.0610237 in³/s	6.102 × 10⁻²
5 cm³/s 0.305119 in³/s	3.051 × 10⁻¹
10 cm³/s 0.610237 in³/s	6.102 × 10⁻¹
50 cm³/s 3.051187 in³/s	3.051 × 10⁰
100 cm³/s 6.102374 in³/s	6.102 × 10⁰

View Complete 15-Row Cubic centimeter/second 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/second (cm³/s):

Cubic inch/second References:

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

Cubic centimeter/second References:

Delicate capillary blood vessel microvascular perfusion rate in tissue 1 cm³/s

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

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/second

Converting Cubic inch/second (in³/s) to Cubic centimeter/second (cm³/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 inch/second equals 16.387064 Cubic centimeter/second, while 1 cm³/s equals 0.0610237 in³/s.

Direct Factor1 in³/s = 16.387064 cm³/s

Inverse Ratio1 cm³/s = 0.0610237 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:

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 in³/s = 1.638706 × 10⁻⁵ cubic meter per second (m³/s)

2. Target SI Bridge (k_target):1 cm³/s = 1 × 10⁻⁶ cubic meter per second (m³/s)

Step-by-step substitution for Cubic inch/second → Cubic centimeter/second:V(cm³/s) = V(in³/s) × ( 1.638706 × 10⁻⁵ / 1 × 10⁻⁶ ) = V(in³/s) × 16.387064

Mathematical FormulaValue in Cubic centimeter/second = Value in Cubic inch/second × 16.387064Direct computational formula applied for standard conversion.

Worked Example

Evaluating an input of 2.5 Cubic inch/second (in³/s) produces 40.96766 Cubic centimeter/second (cm³/s). In heavy-duty utility and industrial workloads, 100 in³/s equals 1638.7064 cm³/s.

Inverse check: 1 cm³/s = 0.0610237 in³/s.

Understanding Cubic inch/second and Cubic centimeter/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 centimeter/second
Automotive power steering hydraulic pump pressurized fluid delivery rate	`20 cu in/s`	`327.74128 cm³/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): in³/s

Select Fluid Density: 998.2 kg/m³

Governing Law: 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

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (m³/s):
Q = 1 in³/s × 1.6387064 × 10⁻⁵ = 1.6387064 × 10⁻⁵ 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 = (1.6387064 × 10⁻⁵ m³/s) × (998.2 kg/m³) = 0.0163576 kg/s
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

Frequently Asked Questions

There are exactly 16.387064 cubic centimeters/second (cm³/s) 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 16.387064.

The mathematical formula to convert cubic inches/second to cubic centimeters/second is: [value] * 16.387064 = cubic centimeters/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 centimeters/second back to cubic inches/second, you must divide your starting value by 16.387064. Our bidirectional tool automatically computes this inverse equation the moment you type into the cubic centimeter/second input field.

1 Cubic inch/second is larger than 1 Cubic centimeter/second. Specifically, 1 Cubic inch/second equals exactly 16.387064 cubic centimeters/second, making it 16.3871 times larger (a difference of 1.21 orders of magnitude). Therefore, quantities expressed in cubic centimeters/second 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 327.7413 Cubic Centimeter Per Second (Cubic centimeter/second).