Cubic inches per minute (in3/min) to Litres per hour (l/h) conversion

Cubic inches per minute to Litres per hour conversion table

Cubic inches per minute (in3/min)Litres per hour (l/h)
00
10.9832193080062
21.9664386160124
32.9496579240186
43.9328772320248
54.916096540031
65.8993158480372
76.8825351560434
87.8657544640496
98.8489737720558
109.832193080062
2019.664386160124
3029.496579240186
4039.328772320248
5049.16096540031
6058.993158480372
7068.825351560434
8078.657544640496
9088.489737720558
10098.32193080062
1000983.2193080062

How to convert cubic inches per minute to litres per hour?

Let's explore the conversion between cubic inches per minute and liters per hour, providing a clear understanding of the process.

Understanding Volume Flow Rate Conversion

Volume flow rate is the volume of fluid that passes per unit of time. Converting between different units like cubic inches per minute and liters per hour involves understanding the relationships between these volume and time units

Conversion Factors

Here are the key conversion factors:

  • 1 inch = 2.54 cm (exactly)
  • 1 liter = 1000 cubic centimeters (cm3cm^3)
  • 1 minute = 1/60 hours

Converting Cubic Inches per Minute to Liters per Hour

To convert cubic inches per minute (in³/min) to liters per hour (L/hr), follow these steps:

  1. Cubic Inches to Cubic Centimeters: Multiply the volume in cubic inches by the conversion factor to get cubic centimeters.

    1 in3=(2.54 cm)3=16.387064 cm31 \text{ in}^3 = (2.54 \text{ cm})^3 = 16.387064 \text{ cm}^3

  2. Cubic Centimeters to Liters: Since 1 liter is equal to 1000 cubic centimeters, divide the volume in cubic centimeters by 1000 to get liters.

    1 L=1000 cm31 \text{ L} = 1000 \text{ cm}^3

  3. Minutes to Hours: Multiply by 60 to convert from per minute to per hour, since there are 60 minutes in an hour.

    1 hour=60 minutes1 \text{ hour} = 60 \text{ minutes}

Conversion Formula:

L/hr=in3/min×16.387064 cm31 in3×1 L1000 cm3×60 min1 hour\text{L/hr} = \text{in}^3\text{/min} \times \frac{16.387064 \text{ cm}^3}{1 \text{ in}^3} \times \frac{1 \text{ L}}{1000 \text{ cm}^3} \times \frac{60 \text{ min}}{1 \text{ hour}}

Plugging in the values to convert 1 cubic inch per minute to liters per hour:

1in3min=1×16.3870641×11000×601Lhr1 \frac{\text{in}^3}{\text{min}} = 1 \times \frac{16.387064}{1} \times \frac{1}{1000} \times \frac{60}{1} \frac{\text{L}}{\text{hr}}

1in3min0.98322384Lhr1 \frac{\text{in}^3}{\text{min}} \approx 0.98322384 \frac{\text{L}}{\text{hr}}

Therefore, 1 cubic inch per minute is approximately equal to 0.98322384 liters per hour.

Converting Liters per Hour to Cubic Inches per Minute

To convert liters per hour (L/hr) to cubic inches per minute (in³/min), reverse the steps:

  1. Liters to Cubic Centimeters: Multiply the volume in liters by 1000 to get cubic centimeters.

  2. Cubic Centimeters to Cubic Inches: Divide the volume in cubic centimeters by 16.387064 to get cubic inches.

  3. Hours to Minutes: Divide by 60 to convert from per hour to per minute.

Conversion Formula:

in3/min=L/hr×1000 cm31 L×1 in316.387064 cm3×1 hour60 min\text{in}^3\text{/min} = \text{L/hr} \times \frac{1000 \text{ cm}^3}{1 \text{ L}} \times \frac{1 \text{ in}^3}{16.387064 \text{ cm}^3} \times \frac{1 \text{ hour}}{60 \text{ min}}

Plugging in the values to convert 1 liter per hour to cubic inches per minute:

1Lhr=1×10001×116.387064×160in3min1 \frac{\text{L}}{\text{hr}} = 1 \times \frac{1000}{1} \times \frac{1}{16.387064} \times \frac{1}{60} \frac{\text{in}^3}{\text{min}}

1Lhr1.016944in3min1 \frac{\text{L}}{\text{hr}} \approx 1.016944 \frac{\text{in}^3}{\text{min}}

Therefore, 1 liter per hour is approximately equal to 1.016944 cubic inches per minute.

Real-World Examples

Here are some applications where converting between cubic inches per minute and liters per hour is common:

  • Automotive Engineering: Engine displacement is often measured in cubic inches, while fuel consumption might be measured in liters per hour.
  • HVAC Systems: Airflow rates are crucial in heating, ventilation, and air conditioning. These rates can be specified in either unit depending on the region or equipment.
  • Industrial Processes: Many industrial processes involve fluid flow, and depending on the equipment and standards, flow rates can be expressed in either cubic inches per minute or liters per hour.
  • Medical Devices: Infusion pumps that control the flow of fluids into a patient's body can have flow rates specified in both cubic inches per minute or liters per hour.

Historical Context

While there isn't a specific law or person directly associated with this particular conversion, the standardization of units is closely linked to the development of the metric system during the French Revolution. The goal was to create a universal and coherent system of measurement, which led to the widespread adoption of liters as a standard unit of volume. This contrasts with the older, more localized systems like cubic inches, which are still used in certain contexts, particularly in the United States.

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 Litres per hour to other unit conversions.

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.

What is litres per hour?

Litres per hour (L/h) is a common unit for measuring the rate at which a volume of liquid flows. Understanding its meaning and applications can be helpful in various fields.

Understanding Litres per Hour (L/h)

Litres per hour (L/h) is a unit of volume flow rate. It indicates the volume of liquid, measured in litres, that passes a specific point in one hour. In simpler terms, it tells you how many litres of a substance are moving per hour.

Formation of the Unit

The unit is formed by combining two fundamental units:

  • Litre (L): A metric unit of volume, defined as the volume of one kilogram of pure water at its maximum density (approximately 4°C).
  • Hour (h): A unit of time, equal to 60 minutes or 3600 seconds.

Therefore, 1 L/h means that one litre of a substance flows past a point in one hour.

Formula and Calculation

The flow rate (QQ) in litres per hour can be calculated using the following formula:

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

Where:

  • QQ = Flow rate (L/h)
  • VV = Volume (L)
  • tt = Time (h)

Real-World Examples

Litres per hour are used in many practical applications.

  • Water Usage: A household might use 500 L/h when all taps, showers, and appliances are running at once.
  • Medical Infusion: An IV drip might deliver medication at a rate of 0.1 L/h.
  • Fuel Consumption: A car might consume 5 L/h of fuel while idling.
  • Industrial Processes: A chemical plant might pump reactants at a rate of 2000 L/h into a reactor.
  • HVAC System: Condensate from a home air conditioner might drain at a rate of 1 L/h on a humid day.

Interesting Facts and Connections

While there isn't a specific "law" directly associated with litres per hour, the concept of flow rate is central to fluid dynamics, which is governed by laws like the Navier-Stokes equations. These equations describe the motion of viscous fluids and are fundamental in engineering and physics.

Conversion

Often, you might need to convert between L/h and other flow rate units. Here are some common conversions:

  • 1 L/h = 0.001 m3m^3/h (cubic meters per hour)
  • 1 L/h ≈ 0.264 US gallons per hour

Complete Cubic inches per minute conversion table

Enter # of Cubic inches per minute
Convert 1 in3/min to other unitsResult
Cubic inches per minute to Cubic Millimeters per second (in3/min to mm3/s)273.11647444617
Cubic inches per minute to Cubic Centimeters per second (in3/min to cm3/s)0.2731164744462
Cubic inches per minute to Cubic Decimeters per second (in3/min to dm3/s)0.0002731164744462
Cubic inches per minute to Cubic Decimeters per minute (in3/min to dm3/min)0.01638698846677
Cubic inches per minute to Cubic Decimeters per hour (in3/min to dm3/h)0.9832193080062
Cubic inches per minute to Cubic Decimeters per day (in3/min to dm3/d)23.597263392149
Cubic inches per minute to Cubic Decimeters per year (in3/min to dm3/a)8618.9004539824
Cubic inches per minute to Millilitres per second (in3/min to ml/s)0.2731164744462
Cubic inches per minute to Centilitres per second (in3/min to cl/s)0.02731164744462
Cubic inches per minute to Decilitres per second (in3/min to dl/s)0.002731164744462
Cubic inches per minute to Litres per second (in3/min to l/s)0.0002731164744462
Cubic inches per minute to Litres per minute (in3/min to l/min)0.01638698846677
Cubic inches per minute to Litres per hour (in3/min to l/h)0.9832193080062
Cubic inches per minute to Litres per day (in3/min to l/d)23.597263392149
Cubic inches per minute to Litres per year (in3/min to l/a)8618.9004539824
Cubic inches per minute to Kilolitres per second (in3/min to kl/s)2.7311647444617e-7
Cubic inches per minute to Kilolitres per minute (in3/min to kl/min)0.00001638698846677
Cubic inches per minute to Kilolitres per hour (in3/min to kl/h)0.0009832193080062
Cubic inches per minute to Cubic meters per second (in3/min to m3/s)2.7311647444617e-7
Cubic inches per minute to Cubic meters per minute (in3/min to m3/min)0.00001638698846677
Cubic inches per minute to Cubic meters per hour (in3/min to m3/h)0.0009832193080062
Cubic inches per minute to Cubic meters per day (in3/min to m3/d)0.02359726339215
Cubic inches per minute to Cubic meters per year (in3/min to m3/a)8.6189004539824
Cubic inches per minute to Cubic kilometers per second (in3/min to km3/s)2.7311647444617e-16
Cubic inches per minute to Teaspoons per second (in3/min to tsp/s)0.055411
Cubic inches per minute to Tablespoons per second (in3/min to Tbs/s)0.01847033333333
Cubic inches per minute to Cubic inches per second (in3/min to in3/s)0.01666666666667
Cubic inches per minute to Cubic inches per hour (in3/min to in3/h)60
Cubic inches per minute to Fluid Ounces per second (in3/min to fl-oz/s)0.009235166666667
Cubic inches per minute to Fluid Ounces per minute (in3/min to fl-oz/min)0.55411
Cubic inches per minute to Fluid Ounces per hour (in3/min to fl-oz/h)33.2466
Cubic inches per minute to Cups per second (in3/min to cup/s)0.001154395833333
Cubic inches per minute to Pints per second (in3/min to pnt/s)0.0005771979166667
Cubic inches per minute to Pints per minute (in3/min to pnt/min)0.034631875
Cubic inches per minute to Pints per hour (in3/min to pnt/h)2.0779125
Cubic inches per minute to Quarts per second (in3/min to qt/s)0.0002885989583333
Cubic inches per minute to Gallons per second (in3/min to gal/s)0.00007214973958333
Cubic inches per minute to Gallons per minute (in3/min to gal/min)0.004328984375
Cubic inches per minute to Gallons per hour (in3/min to gal/h)0.2597390625
Cubic inches per minute to Cubic feet per second (in3/min to ft3/s)0.00000964502224181
Cubic inches per minute to Cubic feet per minute (in3/min to ft3/min)0.0005787013345086
Cubic inches per minute to Cubic feet per hour (in3/min to ft3/h)0.03472208007052
Cubic inches per minute to Cubic yards per second (in3/min to yd3/s)3.5722252092302e-7
Cubic inches per minute to Cubic yards per minute (in3/min to yd3/min)0.00002143335125538
Cubic inches per minute to Cubic yards per hour (in3/min to yd3/h)0.001286001075323

Volume flow rate conversions