Decilitres per second (dl/s) to Cubic inches per minute (in3/min) conversion

Decilitres per second to Cubic inches per minute conversion table

Decilitres per second (dl/s)Cubic inches per minute (in3/min)
00
1366.14415224414
2732.28830448828
31098.4324567324
41464.5766089766
51830.7207612207
62196.8649134648
72563.009065709
82929.1532179531
93295.2973701973
103661.4415224414
207322.8830448828
3010984.324567324
4014645.766089766
5018307.207612207
6021968.649134648
7025630.09065709
8029291.532179531
9032952.973701973
10036614.415224414
1000366144.15224414

How to convert decilitres per second to cubic inches per minute?

Converting between volume flow rate units like decilitres per second (dL/s) and cubic inches per minute (in³/min) involves understanding the relationships between metric and imperial units. This section will guide you through the conversion process and provide real-world context.

Understanding the Conversion

The conversion between decilitres per second and cubic inches per minute is based on the equivalence between decilitres and cubic inches and also seconds and minutes

Conversion Formula

  • 1 decilitre (dL) = 6.10237 cubic inches (in³)
  • 1 minute = 60 seconds

Therefore, to convert from decilitres per second to cubic inches per minute, use the following conversion factor:

1dLs=1dLs×6.10237in31dL×60s1min1 \, \frac{dL}{s} = 1 \, \frac{dL}{s} \times \frac{6.10237 \, in^3}{1 \, dL} \times \frac{60 \, s}{1 \, min}

Simplifying this gives:

1dLs=366.1422in3min1 \, \frac{dL}{s} = 366.1422 \, \frac{in^3}{min}

So, 1 decilitre per second is equal to approximately 366.1422 cubic inches per minute.

Step-by-Step Conversion: dL/s to in³/min

  1. Start with the value in decilitres per second: 1dLs1 \, \frac{dL}{s}

  2. Multiply by the conversion factors:

    1dLs×6.10237in3dL×60smin=366.1422in3min1 \, \frac{dL}{s} \times 6.10237 \, \frac{in^3}{dL} \times 60 \, \frac{s}{min} = 366.1422 \, \frac{in^3}{min}

  3. Result: 1dLs=366.1422in3min1 \, \frac{dL}{s} = 366.1422 \, \frac{in^3}{min}

Step-by-Step Conversion: in³/min to dL/s

To convert from cubic inches per minute to decilitres per second, you need to use the inverse conversion factors:

  1. Start with the value in cubic inches per minute: 1in3min1 \, \frac{in^3}{min}

  2. Multiply by the inverse conversion factors:

    1in3min×1dL6.10237in3×1min60s0.00273dLs1 \, \frac{in^3}{min} \times \frac{1 \, dL}{6.10237 \, in^3} \times \frac{1 \, min}{60 \, s} \approx 0.00273 \, \frac{dL}{s}

  3. Result: 1in3min0.00273dLs1 \, \frac{in^3}{min} \approx 0.00273 \, \frac{dL}{s}

Historical Context and Notable Figures

While there's no specific law or individual directly associated with this particular unit conversion, the development of standardized units of measurement has been a gradual process involving numerous scientists, engineers, and lawmakers throughout history. The metric system, which includes the decilitre, originated during the French Revolution, aiming for a universal and rational system. The inch, part of the imperial system, has roots stretching back to ancient Rome. NIST provides information on units and conversions.

Real-World Examples

Here are a few real-world examples that involve volume flow rates, where understanding conversions between dL/s and in³/min might be useful:

  1. Medical Infusion: Consider intravenous (IV) drip rates in hospitals. While often measured in drops per minute, understanding flow rates in volume per time units is critical for accurate medication delivery. Converting between different units (like dL/s and in³/min) can ensure precise dosage control.
  2. Small Engine Fuel Consumption: The fuel consumption of a small engine (e.g., in a lawnmower or generator) might be measured in cubic inches per minute. Converting this to dL/s can help compare fuel efficiency with other devices that use metric measurements.
  3. Laboratory Experiments: In certain lab experiments, precise control of liquid flow rates is essential. Pumps might be calibrated in either dL/s or in³/min, and conversions are necessary for consistency.
  4. 3D Printing: Some 3D printers use liquid resins. The flow rate of the resin might be controlled and monitored in units like cubic inches per minute, requiring conversion to metric equivalents for certain calculations or comparisons.

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 Cubic inches per minute to other unit conversions.

What is decilitres per second?

Decilitres per second (dL/s) is a unit used to measure volume flow rate, representing the volume of fluid passing through a given area per unit of time. It is not a commonly used SI unit but is derived from SI units.

Understanding Decilitres per Second

A decilitre is a unit of volume equal to one-tenth of a litre (0.1 L), and a second is the base unit of time in the International System of Units (SI). Therefore, one decilitre per second is equivalent to 0.1 litres of fluid passing a point in one second.

  • 1 dL = 0.1 L
  • 1 L = 0.001 m3m^3
  • Therefore, 1 dL/s = 0.0001 m3m^3/s

Formation and Conversion

Decilitres per second is derived from the litre (L) and second (s). The prefix "deci-" indicates one-tenth. Here's how it relates to other flow rate units:

  • Conversion to m3m^3/s (SI unit): 1 dL/s = 0.0001 m3m^3/s
  • Conversion to L/s: 1 dL/s = 0.1 L/s
  • Conversion to mL/s: 1 dL/s = 100 mL/s

Common Uses and Real-World Examples (Other Volume Flow Rates)

While dL/s is not a standard unit, understanding flow rates is crucial in many fields. Here are examples using more common units to illustrate the concept.

  • Water Flow: A garden hose might deliver water at a rate of 10-20 liters per minute (L/min). Industrial water pumps can have flow rates of several cubic meters per hour (m3m^3/h).
  • Respiratory Rate: The peak expiratory flow rate (PEFR), measuring how quickly someone can exhale air, is often measured in liters per minute (L/min). A healthy adult might have a PEFR of 400-700 L/min.
  • Blood Flow: Cardiac output, the amount of blood the heart pumps per minute, is typically around 5 liters per minute (L/min) at rest.
  • Industrial Processes: Many chemical and manufacturing processes involve precise control of fluid flow rates, often measured in liters per minute (L/min), gallons per minute (GPM), or cubic meters per hour (m3m^3/h). For example, a machine filling bottles might dispense liquid at a specific rate in milliliters per second (mL/s).
  • HVAC Systems: Airflow in HVAC (Heating, Ventilation, and Air Conditioning) systems is frequently measured in cubic feet per minute (CFM) or cubic meters per hour (m3m^3/h).

Relevance and Context

While no specific law is directly tied to decilitres per second, the general principles of fluid dynamics and fluid mechanics govern its behavior. Bernoulli's principle, for instance, relates fluid speed to pressure, impacting flow rates in various systems. The study of fluid dynamics has involved many well-known scientists like Daniel Bernoulli, Isaac Newton, and Osborne Reynolds.

What is cubic inches per minute?

What is Cubic Inches per Minute?

Cubic inches per minute (in$^3$/min or CFM) is a unit of measure for volume flow rate. It represents the volume of a substance (typically a gas or liquid) that flows through a given area per minute, with the volume measured in cubic inches. It's a common unit in engineering and manufacturing, especially in the United States.

Understanding Cubic Inches and Volume Flow Rate

Cubic Inches

A cubic inch is a unit of volume equal to the volume of a cube with sides one inch long. It's part of the imperial system of measurement.

Volume Flow Rate

Volume flow rate, generally denoted as QQ, is the volume of fluid which passes per unit time. The SI unit for volume flow rate is cubic meters per second (m3/sm^3/s).

Formation of Cubic Inches per Minute

Cubic inches per minute is formed by combining a unit of volume (cubic inches) with a unit of time (minutes). This describes how many cubic inches of a substance pass a specific point or through a specific area in one minute.

Q=VtQ = \frac{V}{t}

Where:

  • QQ = Volume flow rate (in$^3$/min)
  • VV = Volume (in$^3$)
  • tt = Time (min)

Applications and Examples

Cubic inches per minute is used across various industries. Here are some real-world examples:

  • Automotive: Measuring the air intake of an engine or the flow rate of fuel injectors. For instance, a fuel injector might have a flow rate of 100 in$^3$/min.
  • HVAC (Heating, Ventilation, and Air Conditioning): Specifying the airflow capacity of fans and blowers. A small bathroom fan might move air at a rate of 50 in$^3$/min.
  • Pneumatics: Determining the flow rate of compressed air in pneumatic systems. An air compressor might deliver 500 in$^3$/min of air.
  • Manufacturing: Measuring the flow of liquids in industrial processes, such as coolant flow in machining operations. A coolant pump might have a flow rate of 200 in$^3$/min.
  • 3D Printing: When using liquid resins.

Conversions and Related Units

It's important to understand how cubic inches per minute relates to other units of flow rate:

  • Cubic Feet per Minute (CFM): 1 CFM = 1728 in$^3$/min
  • Liters per Minute (LPM): 1 in$^3$/min ≈ 0.01639 LPM
  • Gallons per Minute (GPM): 1 GPM ≈ 231 in$^3$/min

Interesting Facts

While there's no specific law directly associated with cubic inches per minute itself, the underlying principles of fluid dynamics that govern volume flow rate are described by fundamental laws such as the Navier-Stokes equations. These equations, developed in the 19th century, describe the motion of viscous fluids and are essential for understanding fluid flow in a wide range of applications. For more information you can read about it in the following Navier-Stokes Equations page from NASA.

Complete Decilitres per second conversion table

Enter # of Decilitres per second
Convert 1 dl/s to other unitsResult
Decilitres per second to Cubic Millimeters per second (dl/s to mm3/s)100000
Decilitres per second to Cubic Centimeters per second (dl/s to cm3/s)100
Decilitres per second to Cubic Decimeters per second (dl/s to dm3/s)0.1
Decilitres per second to Cubic Decimeters per minute (dl/s to dm3/min)6
Decilitres per second to Cubic Decimeters per hour (dl/s to dm3/h)360
Decilitres per second to Cubic Decimeters per day (dl/s to dm3/d)8640
Decilitres per second to Cubic Decimeters per year (dl/s to dm3/a)3155760
Decilitres per second to Millilitres per second (dl/s to ml/s)100
Decilitres per second to Centilitres per second (dl/s to cl/s)10
Decilitres per second to Litres per second (dl/s to l/s)0.1
Decilitres per second to Litres per minute (dl/s to l/min)6
Decilitres per second to Litres per hour (dl/s to l/h)360
Decilitres per second to Litres per day (dl/s to l/d)8640
Decilitres per second to Litres per year (dl/s to l/a)3155760
Decilitres per second to Kilolitres per second (dl/s to kl/s)0.0001
Decilitres per second to Kilolitres per minute (dl/s to kl/min)0.006
Decilitres per second to Kilolitres per hour (dl/s to kl/h)0.36
Decilitres per second to Cubic meters per second (dl/s to m3/s)0.0001
Decilitres per second to Cubic meters per minute (dl/s to m3/min)0.006
Decilitres per second to Cubic meters per hour (dl/s to m3/h)0.36
Decilitres per second to Cubic meters per day (dl/s to m3/d)8.64
Decilitres per second to Cubic meters per year (dl/s to m3/a)3155.76
Decilitres per second to Cubic kilometers per second (dl/s to km3/s)1e-13
Decilitres per second to Teaspoons per second (dl/s to tsp/s)20.28841362
Decilitres per second to Tablespoons per second (dl/s to Tbs/s)6.76280454
Decilitres per second to Cubic inches per second (dl/s to in3/s)6.1024025374023
Decilitres per second to Cubic inches per minute (dl/s to in3/min)366.14415224414
Decilitres per second to Cubic inches per hour (dl/s to in3/h)21968.649134648
Decilitres per second to Fluid Ounces per second (dl/s to fl-oz/s)3.38140227
Decilitres per second to Fluid Ounces per minute (dl/s to fl-oz/min)202.8841362
Decilitres per second to Fluid Ounces per hour (dl/s to fl-oz/h)12173.048172
Decilitres per second to Cups per second (dl/s to cup/s)0.42267528375
Decilitres per second to Pints per second (dl/s to pnt/s)0.211337641875
Decilitres per second to Pints per minute (dl/s to pnt/min)12.6802585125
Decilitres per second to Pints per hour (dl/s to pnt/h)760.81551075
Decilitres per second to Quarts per second (dl/s to qt/s)0.1056688209375
Decilitres per second to Gallons per second (dl/s to gal/s)0.02641720523438
Decilitres per second to Gallons per minute (dl/s to gal/min)1.5850323140625
Decilitres per second to Gallons per hour (dl/s to gal/h)95.10193884375
Decilitres per second to Cubic feet per second (dl/s to ft3/s)0.003531468492103
Decilitres per second to Cubic feet per minute (dl/s to ft3/min)0.2118881095262
Decilitres per second to Cubic feet per hour (dl/s to ft3/h)12.713286571572
Decilitres per second to Cubic yards per second (dl/s to yd3/s)0.0001307949370859
Decilitres per second to Cubic yards per minute (dl/s to yd3/min)0.007847696225153
Decilitres per second to Cubic yards per hour (dl/s to yd3/h)0.4708617735091

Volume flow rate conversions