Cubic inches per second (in3/s) to Millilitres per second (ml/s) conversion

Cubic inches per second to Millilitres per second conversion table

Cubic inches per second (in3/s)Millilitres per second (ml/s)
00
116.38698846677
232.77397693354
349.16096540031
465.54795386708
581.93494233385
698.32193080062
7114.70891926739
8131.09590773416
9147.48289620093
10163.8698846677
20327.7397693354
30491.6096540031
40655.4795386708
50819.3494233385
60983.2193080062
701147.0891926739
801310.9590773416
901474.8289620093
1001638.698846677
100016386.98846677

How to convert cubic inches per second to millilitres per second?

Converting volume flow rates between cubic inches per second and milliliters per second is a common task, especially when dealing with fluid dynamics and engineering applications. The conversion factor is based on the relationship between inches and centimeters, and subsequently, between cubic inches and milliliters.

Understanding the Conversion

To convert cubic inches per second to milliliters per second, we need to know the relationship between these two units.

1 cubic inch (in3in^3) is equivalent to 16.387064 milliliters (mLmL).

The conversion factor is derived from: 1 inch = 2.54 cm (exactly) 1 cm3cm^3 = 1 mL

Therefore, 1 in3in^3 = (2.54cm)3(2.54 cm)^3 = 16.387064 cm3cm^3 = 16.387064 mL

Step-by-Step Conversion

Converting Cubic Inches per Second to Milliliters per Second

  1. Identify the value in cubic inches per second: Let's assume you have a value VV in cubic inches per second (in3/sin^3/s).

  2. Apply the conversion factor: Multiply the value VV by the conversion factor 16.387064 to get the equivalent value in milliliters per second (mL/smL/s).

    V(mL/s)=V(in3/s)×16.387064V (mL/s) = V (in^3/s) \times 16.387064

    For example, converting 1 cubic inch per second to milliliters per second:

    1(in3/s)×16.387064=16.387064(mL/s)1 (in^3/s) \times 16.387064 = 16.387064 (mL/s)

Converting Milliliters per Second to Cubic Inches per Second

  1. Identify the value in milliliters per second: Let's assume you have a value VV in milliliters per second (mL/smL/s).

  2. Apply the inverse conversion factor: Divide the value VV by the conversion factor 16.387064 to get the equivalent value in cubic inches per second (in3/sin^3/s).

    V(in3/s)=V(mL/s)÷16.387064V (in^3/s) = V (mL/s) \div 16.387064

    For example, converting 1 milliliter per second to cubic inches per second:

    1(mL/s)÷16.387064=0.0610237(in3/s)1 (mL/s) \div 16.387064 = 0.0610237 (in^3/s)

Historical Context and Relevant Laws

While there's no specific law or well-known person directly associated with the cubic inch to milliliter conversion, the standardization of measurements has been a long and evolving process. Key milestones include:

  • Metric System Adoption: The metric system, originating in France in the late 18th century, aimed to standardize measurements. The milliliter, as a unit of volume, is part of this system.
  • English/Imperial Units: The inch is part of the English or Imperial unit system, which has historical roots in England and is still used in some countries, including the United States.
  • International Yard and Pound Agreement of 1959: This agreement standardized the inch as exactly 25.4 millimeters, which is essential for the accurate conversion between the two systems.

Real-World Examples

  1. Automotive Engineering:

    • Engine Displacement: Engine displacement is often measured in cubic inches (CID) in the US. Converting this to liters (1 liter = 1000 mL) requires understanding the relationship between cubic inches and milliliters. For example, a 350 CID engine is equivalent to approximately 5735 mL or 5.735 liters.
  2. Fluid Mechanics:

    • Flow Rate Calculations: In experiments involving fluid flow, engineers often need to convert flow rates from in3/sin^3/s to mL/smL/s to align with metric-based measurement tools and standards.
  3. Medical Devices:

    • Drug Delivery Systems: Infusion pumps or other medical devices may need precise calibration of fluid delivery rates. If a device is calibrated in cubic inches per second, it may need to be converted to milliliters per second for clinical use.
  4. Hydraulic Systems:

    • Pump Performance: Hydraulic pump performance is often characterized by flow rates. Converting between cubic inches per second and milliliters per second helps in comparing pumps designed using different unit systems.

See below section for step by step unit conversion with formulas and explanations. Please refer to the table below for a list of all the Millilitres per second to other unit conversions.

What is Cubic Inches per Second?

Cubic inches per second (in$^3$/s) is a unit of flow rate that expresses the volume of a substance passing through a cross-sectional area per unit time. Specifically, it measures how many cubic inches of a substance flow past a point in one second.

Formation of Cubic Inches per Second

This unit is derived from the fundamental units of volume (cubic inches) and time (seconds). It's a volumetric flow rate, calculated as:

Flow Rate=VolumeTime\text{Flow Rate} = \frac{\text{Volume}}{\text{Time}}

In this case:

  • Volume is measured in cubic inches (in$^3$). 1 cubic inch is equal to 16.3871 cm316.3871 \text{ cm}^3.
  • Time is measured in seconds (s).

Therefore, 1 in$^3$/s means that one cubic inch of a substance flows past a specific point in one second.

Real-World Applications and Examples

Understanding the scale of cubic inches per second is easier with real-world examples:

  • Small Engine Displacement: The displacement of small engines, like those in lawnmowers or motorcycles, can be expressed in cubic inches. While not directly a flow rate, it represents the total volume displaced by the pistons during one engine cycle, influencing performance. A larger displacement generally means more power.

  • Hydraulic Systems: In hydraulic systems, such as those used in heavy machinery or braking systems, flow rates are crucial. The rate at which hydraulic fluid flows through valves and cylinders, often measured in gallons per minute (GPM), can be converted to cubic inches per second to ensure precise control and operation. One GPM equals 0.0631 in$^3$/s

  • Fuel Injectors: Fuel injectors in internal combustion engines control the flow of fuel into the cylinders. The flow rate of fuel injectors is critical for engine performance and emissions. While often measured in other units, these rates can be converted to cubic inches per second for comparison.

  • HVAC Systems: Airflow in heating, ventilation, and air conditioning (HVAC) systems is often measured in cubic feet per minute (CFM). CFM can be converted to cubic inches per second to quantify the amount of air being circulated. One CFM equals 1.728 in$^3$/s

Interesting Facts and Related Concepts

  • Dimensional Analysis: When working with flow rates, dimensional analysis is crucial to ensure consistent units. Converting between different units of volume and time (e.g., gallons per minute to cubic inches per second) requires careful attention to conversion factors.

  • Fluid Dynamics: The study of fluid dynamics relies heavily on the concept of flow rate. Principles like the conservation of mass and Bernoulli's equation are used to analyze and predict fluid behavior in various systems. Bernoulli's principle is a statement about conservation of energy for fluids.

What is millilitres per second?

Millilitres per second (mL/s) is a unit of volumetric flow rate, describing the volume of fluid that passes through a given point per unit of time. It's commonly used in various fields where precise measurement of small fluid volumes is essential.

Definition of Millilitres per Second

Millilitres per second (mL/s) is a derived unit. It combines the metric unit of volume, the milliliter (mL), with the SI unit of time, the second (s). One milliliter is equal to one cubic centimeter (1 mL=1 cm31 \text{ mL} = 1 \text{ cm}^3). Therefore, 1 mL/s is equivalent to 1 cubic centimeter of fluid flowing past a point in one second.

How Millilitres per Second is Formed

The unit is formed by expressing volume in milliliters and dividing it by time in seconds.

Flow Rate=VolumeTime\text{Flow Rate} = \frac{\text{Volume}}{\text{Time}}

Flow Rate (mL/s)=Volume (mL)Time (s)\text{Flow Rate (mL/s)} = \frac{\text{Volume (mL)}}{\text{Time (s)}}

Common Applications and Examples

  • Medical Applications: Infusion pumps deliver medication at precise rates, often measured in mL/s. For instance, a doctor might prescribe an IV drip at a rate of 0.5 mL/s.
  • Laboratory Experiments: Chemical reactions and experiments often require precise control over the flow of liquids. Microfluidic devices frequently operate in the mL/s range or even lower.
  • Small Engine Fuel Consumption: The fuel consumption of a small engine, like a lawnmower, can be expressed in mL/s. For example, an engine might consume 2 mL/s of gasoline at idle.
  • 3D Printing: In material extrusion 3D printing, the flow rate of the melted filament is often controlled and can be expressed in mL/s.
  • Water flow from faucets: A slowly dripping faucet might release water at a rate of approximately 0.1 mL/s. A fully open faucet might release water at a rate of 200 mL/s.

Relationship to Other Units

Millilitres per second can be converted to other volumetric flow rate units:

  • Liters per second (L/s): 1 L/s = 1000 mL/s
  • Cubic meters per second (m3/sm^3/s): 1 m3/sm^3/s = 1,000,000 mL/s
  • Gallons per minute (GPM): 1 GPM ≈ 0.0630902 L/s ≈ 63.0902 mL/s

Notable Figures and Laws

While no specific law is directly associated with milliliters per second, the concept of flow rate is fundamental in fluid dynamics. Key figures in this field include:

  • Daniel Bernoulli: Known for Bernoulli's principle, which relates fluid speed to pressure.
  • Osborne Reynolds: Known for the Reynolds number, which helps predict flow patterns in fluids.

For further reading on fluid dynamics, refer to Introduction to Fluid Dynamics on The LibreTexts libraries.

Complete Cubic inches per second conversion table

Enter # of Cubic inches per second
Convert 1 in3/s to other unitsResult
Cubic inches per second to Cubic Millimeters per second (in3/s to mm3/s)16386.98846677
Cubic inches per second to Cubic Centimeters per second (in3/s to cm3/s)16.38698846677
Cubic inches per second to Cubic Decimeters per second (in3/s to dm3/s)0.01638698846677
Cubic inches per second to Cubic Decimeters per minute (in3/s to dm3/min)0.9832193080062
Cubic inches per second to Cubic Decimeters per hour (in3/s to dm3/h)58.993158480372
Cubic inches per second to Cubic Decimeters per day (in3/s to dm3/d)1415.8358035289
Cubic inches per second to Cubic Decimeters per year (in3/s to dm3/a)517134.02723894
Cubic inches per second to Millilitres per second (in3/s to ml/s)16.38698846677
Cubic inches per second to Centilitres per second (in3/s to cl/s)1.638698846677
Cubic inches per second to Decilitres per second (in3/s to dl/s)0.1638698846677
Cubic inches per second to Litres per second (in3/s to l/s)0.01638698846677
Cubic inches per second to Litres per minute (in3/s to l/min)0.9832193080062
Cubic inches per second to Litres per hour (in3/s to l/h)58.993158480372
Cubic inches per second to Litres per day (in3/s to l/d)1415.8358035289
Cubic inches per second to Litres per year (in3/s to l/a)517134.02723894
Cubic inches per second to Kilolitres per second (in3/s to kl/s)0.00001638698846677
Cubic inches per second to Kilolitres per minute (in3/s to kl/min)0.0009832193080062
Cubic inches per second to Kilolitres per hour (in3/s to kl/h)0.05899315848037
Cubic inches per second to Cubic meters per second (in3/s to m3/s)0.00001638698846677
Cubic inches per second to Cubic meters per minute (in3/s to m3/min)0.0009832193080062
Cubic inches per second to Cubic meters per hour (in3/s to m3/h)0.05899315848037
Cubic inches per second to Cubic meters per day (in3/s to m3/d)1.4158358035289
Cubic inches per second to Cubic meters per year (in3/s to m3/a)517.13402723894
Cubic inches per second to Cubic kilometers per second (in3/s to km3/s)1.638698846677e-14
Cubic inches per second to Teaspoons per second (in3/s to tsp/s)3.32466
Cubic inches per second to Tablespoons per second (in3/s to Tbs/s)1.10822
Cubic inches per second to Cubic inches per minute (in3/s to in3/min)60
Cubic inches per second to Cubic inches per hour (in3/s to in3/h)3600
Cubic inches per second to Fluid Ounces per second (in3/s to fl-oz/s)0.55411
Cubic inches per second to Fluid Ounces per minute (in3/s to fl-oz/min)33.2466
Cubic inches per second to Fluid Ounces per hour (in3/s to fl-oz/h)1994.796
Cubic inches per second to Cups per second (in3/s to cup/s)0.06926375
Cubic inches per second to Pints per second (in3/s to pnt/s)0.034631875
Cubic inches per second to Pints per minute (in3/s to pnt/min)2.0779125
Cubic inches per second to Pints per hour (in3/s to pnt/h)124.67475
Cubic inches per second to Quarts per second (in3/s to qt/s)0.0173159375
Cubic inches per second to Gallons per second (in3/s to gal/s)0.004328984375
Cubic inches per second to Gallons per minute (in3/s to gal/min)0.2597390625
Cubic inches per second to Gallons per hour (in3/s to gal/h)15.58434375
Cubic inches per second to Cubic feet per second (in3/s to ft3/s)0.0005787013345086
Cubic inches per second to Cubic feet per minute (in3/s to ft3/min)0.03472208007052
Cubic inches per second to Cubic feet per hour (in3/s to ft3/h)2.083324804231
Cubic inches per second to Cubic yards per second (in3/s to yd3/s)0.00002143335125538
Cubic inches per second to Cubic yards per minute (in3/s to yd3/min)0.001286001075323
Cubic inches per second to Cubic yards per hour (in3/s to yd3/h)0.07716006451937

Volume flow rate conversions