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

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Live Conversion • ISO 80000-4:2019 Certified

1 Cubic inch/minute = 0.27311773 Cubic centimeter/second

1 in³/min = 0.273118 cm³/s • 1 cm³/s = 3.661425 in³/min

Decimals:

Certified Authority Value

0.27311773

cm³/s

From / Input

in³/min

Swap to Cubic centimeter/second to Cubic inch/minute

To / Result

cm³/s

Quick Values:

Conversion Formula

To convert Cubic inch/minute to Cubic centimeter/second, multiply by 0.27311773

in³/min × 0.27311773 = cm³/s

Calculation: 1 in³/min × 0.27311773 = 0.27311773 cm³/s

Common Cubic inch/minute to Cubic centimeter/second Calculations

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

Tap any row to calculate

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

Rule: 1 Cubic inch/minute is equal to 0.273118 cm³/s (Cubic centimeter/second)

Cubic inch/minute to Cubic centimeter/second Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 in³/min 0.000273118 cm³/s	2.731 × 10⁻⁴
0.01 in³/min 0.00273118 cm³/s	2.731 × 10⁻³
0.1 in³/min 0.0273118 cm³/s	2.731 × 10⁻²
0.5 in³/min 0.136559 cm³/s	1.366 × 10⁻¹
1 in³/min 0.273118 cm³/s	2.731 × 10⁻¹
2 in³/min 0.546235 cm³/s	5.462 × 10⁻¹
5 in³/min 1.365589 cm³/s	1.366 × 10⁰
10 in³/min 2.731177 cm³/s	2.731 × 10⁰
20 in³/min 5.462355 cm³/s	5.462 × 10⁰
25 in³/min 6.827943 cm³/s	6.828 × 10⁰
50 in³/min 13.655887 cm³/s	1.366 × 10¹
100 in³/min 27.311773 cm³/s	2.731 × 10¹
250 in³/min 68.279433 cm³/s	6.828 × 10¹
500 in³/min 136.558867 cm³/s	1.366 × 10²
1000 in³/min 273.117733 cm³/s	2.731 × 10²

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

Rule: 1 Cubic centimeter/second is equal to 3.661425 in³/min (Cubic inch/minute)

Cubic centimeter/second to Cubic inch/minute Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 cm³/s 3.661425 in³/min	3.661 × 10⁰
5 cm³/s 18.307123 in³/min	1.831 × 10¹
10 cm³/s 36.614246 in³/min	3.661 × 10¹
50 cm³/s 183.071232 in³/min	1.831 × 10²
100 cm³/s 366.142465 in³/min	3.661 × 10²

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

Cubic inch/minute References:

Machine tool hydraulic positioning cylinder hydraulic oil feed rate 100 cu in/min

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/minute to Cubic centimeter/second

Converting Cubic inch/minute (in³/min) 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/minute equals 0.273118 Cubic centimeter/second, while 1 cm³/s equals 3.661425 in³/min.

Direct Factor1 in³/min = 0.273118 cm³/s

Inverse Ratio1 cm³/s = 3.661425 in³/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 in³/min = 2.731177 × 10⁻⁷ 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/minute → Cubic centimeter/second:V(cm³/s) = V(in³/min) × ( 2.731177 × 10⁻⁷ / 1 × 10⁻⁶ ) = V(in³/min) × 0.273118

Mathematical FormulaValue in Cubic centimeter/second = Value in Cubic inch/minute × 0.27311773Direct computational formula applied for standard conversion.

Worked Example

Evaluating an input of 120 Cubic inch/minute (in³/min) produces 32.774128 Cubic centimeter/second (cm³/s). In heavy-duty utility and industrial workloads, 480 in³/min equals 131.096512 cm³/s.

Inverse check: 1 cm³/s = 3.661425 in³/min.

Understanding Cubic inch/minute 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
Machine tool hydraulic positioning cylinder hydraulic oil feed rate	`100 cu in/min`	`27.311773 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/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 in³/min at Water (20°C / Standard Ambient) = 0.0002726 kg/s

Equals 0.9815 kg/h • 0.000601 lb/s • 2.16 lb/h

SI Mass Flow

0.0002726

kg/s

Kilograms per Second

Industrial Process

0.9815

kg/h

Kilograms per Hour

US Mass Flow

0.000601

lb/s

Pounds per Second

Boiler / Turbine Rating

2.16

lb/h

Pounds per Hour

Heavy Plant Header

0.0009815

t/h

Metric Tons per Hour

Chemical / Laboratory

0.2726

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/min × 2.73117733 × 10⁻⁷ = 2.73117733 × 10⁻⁷ 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 = (2.73117733 × 10⁻⁷ m³/s) × (998.2 kg/m³) = 0.00027263 kg/s
4. Convert to Standard Engineering Units:
• kg/s: 0.00027263 × 1 = 0.0002726 kg/s (Kilograms per Second) • kg/h: 0.00027263 × 3600 = 0.9815 kg/h (Kilograms per Hour) • lb/s: 0.00027263 × 2.2046 = 0.000601 lb/s (Pounds per Second) • lb/h: 0.00027263 × 7936.6414 = 2.16 lb/h (Pounds per Hour) • t/h: 0.00027263 × 3.6 = 0.0009815 t/h (Metric Tons per Hour) • g/s: 0.00027263 × 1000 = 0.2726 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 0.27311773 cubic centimeters/second (cm³/s) in 1 cubic inch/minute (in³/min). To calculate larger amounts manually, simply multiply your total number of cubic inches/minute by the conversion multiplier of 0.27311773.

The mathematical formula to convert cubic inches/minute to cubic centimeters/second is: [value] * 0.27311773 = 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/minute, you must divide your starting value by 0.27311773. Our bidirectional tool automatically computes this inverse equation the moment you type into the cubic centimeter/second input field.

1 Cubic centimeter/second is larger than 1 Cubic inch/minute. Specifically, 1 Cubic inch/minute equals 0.27311773 cubic centimeters/second, meaning 1 Cubic centimeter/second is 3.6614 times larger than 1 Cubic inch/minute (a difference of 0.56 orders of magnitude). Expressing measurements in cubic inches/minute requires a larger numerical value to represent the equivalent physical magnitude.

A typical machine tool hydraulic positioning cylinder hydraulic oil feed rate measures 100 cu in/min, which corresponds to 27.3118 Cubic Centimeter Per Second (Cubic centimeter/second).