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

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Live Conversion • ISO 80000-4:2019 Certified

1 Cubic centimeter/minute = 0.0010170624 Cubic inch/second

1 cm³/min = 0.00101706 in³/s • 1 in³/s = 983.22384 cm³/min

Decimals:

Certified Authority Value

0.00101706

in³/s

From / Input

cm³/min

Swap to Cubic inch/second to Cubic centimeter/minute

To / Result

in³/s

Quick Values:

Conversion Formula

To convert Cubic centimeter/minute to Cubic inch/second, multiply by 0.0010170624

cm³/min × 0.0010170624 = in³/s

Calculation: 1 cm³/min × 0.0010170624 = 0.0010170624 in³/s

Common Cubic centimeter/minute to Cubic inch/second Calculations

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

Tap any row to calculate

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

Rule: 1 Cubic centimeter/minute is equal to 0.00101706 in³/s (Cubic inch/second)

Cubic centimeter/minute to Cubic inch/second Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 cm³/min 1.017062 × 10⁻⁶ in³/s	1.017 × 10⁻⁶
0.01 cm³/min 1.017062 × 10⁻⁵ in³/s	1.017 × 10⁻⁵
0.1 cm³/min 0.000101706 in³/s	1.017 × 10⁻⁴
0.5 cm³/min 0.000508531 in³/s	5.085 × 10⁻⁴
1 cm³/min 0.00101706 in³/s	1.017 × 10⁻³
2 cm³/min 0.00203412 in³/s	2.034 × 10⁻³
5 cm³/min 0.00508531 in³/s	5.085 × 10⁻³
10 cm³/min 0.0101706 in³/s	1.017 × 10⁻²
20 cm³/min 0.0203412 in³/s	2.034 × 10⁻²
25 cm³/min 0.0254266 in³/s	2.543 × 10⁻²
50 cm³/min 0.0508531 in³/s	5.085 × 10⁻²
100 cm³/min 0.101706 in³/s	1.017 × 10⁻¹
250 cm³/min 0.254266 in³/s	2.543 × 10⁻¹
500 cm³/min 0.508531 in³/s	5.085 × 10⁻¹
1000 cm³/min 1.017062 in³/s	1.017 × 10⁰

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

Rule: 1 Cubic inch/second is equal to 983.22384 cm³/min (Cubic centimeter/minute)

Cubic inch/second to Cubic centimeter/minute Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 in³/s 983.22384 cm³/min	9.832 × 10²
5 in³/s 4916.1192 cm³/min	4.916 × 10³
10 in³/s 9832.2384 cm³/min	9.832 × 10³
50 in³/s 49161.192 cm³/min	4.916 × 10⁴
100 in³/s 98322.384 cm³/min	9.832 × 10⁴

View Complete 15-Row Cubic inch/second to Cubic centimeter/minute 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 centimeter/minute (cm³/min) and Cubic inch/second (in³/s):

Cubic centimeter/minute References:

Laboratory gas chromatography helium carrier mobile phase flow rate 1 cm³/min

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 Cubic centimeter/minute to Cubic inch/second

Converting Cubic centimeter/minute (cm³/min) 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 Cubic centimeter/minute equals 0.00101706 Cubic inch/second, while 1 in³/s equals 983.22384 cm³/min.

Direct Factor1 cm³/min = 0.00101706 in³/s

Inverse Ratio1 in³/s = 983.22384 cm³/min

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 cm³/min = 1.666667 × 10⁻⁸ cubic meter per second (m³/s)

2. Target SI Bridge (k_target):1 in³/s = 1.638706 × 10⁻⁵ cubic meter per second (m³/s)

Step-by-step substitution for Cubic centimeter/minute → Cubic inch/second:V(in³/s) = V(cm³/min) × ( 1.666667 × 10⁻⁸ / 1.638706 × 10⁻⁵ ) = V(cm³/min) × 0.00101706

Mathematical FormulaValue in Cubic inch/second = Value in Cubic centimeter/minute × 0.0010170624Direct computational formula applied for standard conversion.

Worked Example

For an engineering input of 8 cm³/min, applying the conversion factor yields exactly 0.0081365 in³/s. At larger operational scale, 5000 Cubic centimeter/minute corresponds to 5.085312 in³/s.

Inverse check: 1 in³/s = 983.22384 cm³/min.

Understanding Cubic centimeter/minute and Cubic inch/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 inch/second
Laboratory gas chromatography helium carrier mobile phase flow rate	`1 cm³/min`	`0.00101706 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).

Input Volumetric Flow Rate (Q): cm³/min

Select Fluid Density: 998.2 kg/m³

Governing Law: ṁ = ρ × Q

Vector: [m³/s] × [kg/m³] → [kg/s]

Live Calculated Bridge Equivalent:

1 cm³/min at Water (20°C / Standard Ambient) = 1.6637 × 10⁻⁵ kg/s

Equals 0.05989 kg/h • 3.6678 × 10⁻⁵ lb/s • 0.13 lb/h

SI Mass Flow

1.6637 × 10⁻⁵

kg/s

Kilograms per Second

Industrial Process

0.05989

kg/h

Kilograms per Hour

US Mass Flow

3.6678 × 10⁻⁵

lb/s

Pounds per Second

Boiler / Turbine Rating

0.13

lb/h

Pounds per Hour

Heavy Plant Header

5.9892 × 10⁻⁵

t/h

Metric Tons per Hour

Chemical / Laboratory

0.01664

g/s

Grams per Second

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (m³/s):
Q = 1 cm³/min × 1.66666667 × 10⁻⁸ = 1.66666667 × 10⁻⁸ 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 = (1.66666667 × 10⁻⁸ m³/s) × (998.2 kg/m³) = 1.663667 × 10⁻⁵ kg/s
4. Convert to Standard Engineering Units:
• kg/s: 1.663667 × 10⁻⁵ × 1 = 1.6637 × 10⁻⁵ kg/s (Kilograms per Second) • kg/h: 1.663667 × 10⁻⁵ × 3600 = 0.05989 kg/h (Kilograms per Hour) • lb/s: 1.663667 × 10⁻⁵ × 2.2046 = 3.6678 × 10⁻⁵ lb/s (Pounds per Second) • lb/h: 1.663667 × 10⁻⁵ × 7936.6414 = 0.13 lb/h (Pounds per Hour) • t/h: 1.663667 × 10⁻⁵ × 3.6 = 5.9892 × 10⁻⁵ t/h (Metric Tons per Hour) • g/s: 1.663667 × 10⁻⁵ × 1000 = 0.01664 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 0.0010170624 cubic inches/second (in³/s) in 1 cubic centimeter/minute (cm³/min). To calculate larger amounts manually, simply multiply your total number of cubic centimeters/minute by the conversion multiplier of 0.0010170624.

The mathematical formula to convert cubic centimeters/minute to cubic inches/second is: [value] * 0.0010170624 = 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 cubic centimeters/minute, you must divide your starting value by 0.0010170624. 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 Cubic centimeter/minute. Specifically, 1 Cubic centimeter/minute equals 0.0010170624 cubic inches/second, meaning 1 Cubic inch/second is 983.2238 times larger than 1 Cubic centimeter/minute (a difference of 2.99 orders of magnitude). Expressing measurements in cubic centimeters/minute requires a larger numerical value to represent the equivalent physical magnitude.

A typical laboratory gas chromatography helium carrier mobile phase flow rate measures 1 cm³/min, which corresponds to 0.001017 Cubic Inch Per Second (Cubic inch/second).