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

Litres per hour to Cubic inches per minute conversion table

Litres per hour (l/h)Cubic inches per minute (in3/min)
00
11.0170670895671
22.0341341791341
33.0512012687012
44.0682683582682
55.0853354478353
66.1024025374023
77.1194696269694
88.1365367165364
99.1536038061035
1010.170670895671
2020.341341791341
3030.512012687012
4040.682683582682
5050.853354478353
6061.024025374023
7071.194696269694
8081.365367165364
9091.536038061035
100101.70670895671
10001017.0670895671

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

Converting a volume flow rate from litres per hour (L/h) to cubic inches per minute (in$^3$/min) involves understanding the relationship between metric and imperial units

Conversion Process: Litres per Hour to Cubic Inches per Minute

  1. Conversion Factors:

    • 1 Litre (L) = 61.0237 Cubic Inches (in$^3$)
    • 1 Hour (h) = 60 Minutes (min)

  2. Conversion Formula:

    • To convert L/h to in$^3$/min, use the following formula:

    in3/min=L/h×61.0237 in31 L×1 h60 min\text{in}^3\text{/min} = \text{L/h} \times \frac{61.0237 \text{ in}^3}{1 \text{ L}} \times \frac{1 \text{ h}}{60 \text{ min}}

Step-by-Step Conversion: 1 L/h to Cubic Inches per Minute

  1. Apply the formula:

    1Lh=1Lh×61.0237 in31 L×1 h60 min1 \frac{\text{L}}{\text{h}} = 1 \frac{\text{L}}{\text{h}} \times \frac{61.0237 \text{ in}^3}{1 \text{ L}} \times \frac{1 \text{ h}}{60 \text{ min}}

  2. Calculate:

    1Lh=61.023760in3min1 \frac{\text{L}}{\text{h}} = \frac{61.0237}{60} \frac{\text{in}^3}{\text{min}}

    1Lh≈1.017in3min1 \frac{\text{L}}{\text{h}} \approx 1.017 \frac{\text{in}^3}{\text{min}}

So, 1 litre per hour is approximately equal to 1.017 cubic inches per minute.

Conversion Process: Cubic Inches per Minute to Litres per Hour

  1. Conversion Factors:

    • 1 Cubic Inch (in$^3$) ≈ 0.016387 Litres (L)
    • 1 Minute (min) = 1/60 Hours (h)

  2. Conversion Formula:

    L/h=in3/min×0.016387 L1 in3×60 min1 h\text{L/h} = \text{in}^3\text{/min} \times \frac{0.016387 \text{ L}}{1 \text{ in}^3} \times \frac{60 \text{ min}}{1 \text{ h}}

Step-by-Step Conversion: 1 Cubic Inch per Minute to Litres per Hour

  1. Apply the formula:

    1in3min=1in3min×0.016387 L1 in3×60 min1 h1 \frac{\text{in}^3}{\text{min}} = 1 \frac{\text{in}^3}{\text{min}} \times \frac{0.016387 \text{ L}}{1 \text{ in}^3} \times \frac{60 \text{ min}}{1 \text{ h}}

  2. Calculate:

    1in3min=0.016387×60Lh1 \frac{\text{in}^3}{\text{min}} = 0.016387 \times 60 \frac{\text{L}}{\text{h}}

    1in3min≈0.983Lh1 \frac{\text{in}^3}{\text{min}} \approx 0.983 \frac{\text{L}}{\text{h}}

So, 1 cubic inch per minute is approximately equal to 0.983 litres per hour.

Historical Context and Relevance

While there isn't a specific law or person directly associated with this particular conversion, understanding volume flow rate is crucial in various scientific and engineering applications. Volume flow rate is a measure of the volume of fluid passing a point per unit time.

  • Relevance: Volume flow rate is vital in fields such as fluid dynamics, chemical engineering, and mechanical engineering. Proper conversion between units ensures accurate calculations and designs.

Real-World Examples

  1. Small Engine Fuel Consumption:

    • Small engines, like those in lawnmowers or motorcycles, might have fuel consumption rates expressed in litres per hour. For practical applications in countries using imperial units, converting to cubic inches per minute is useful.
    • Example: A small engine consumes 2 L/h of fuel, which is approximately 2.034 in$^3$/min.

  2. HVAC Systems:

    • In heating, ventilation, and air conditioning (HVAC) systems, airflow rates are critical. These rates might be calculated in cubic feet per minute (CFM), but converting to L/h can be useful for system design or comparison with systems designed using metric units.
    • Example: Converting CFM to L/h can help in understanding the ventilation efficiency of a room or building.

  3. Medical Infusion Pumps:

    • In medical settings, infusion pumps deliver fluids at precise flow rates. These rates may be set in mL/h (millilitres per hour), which is equivalent to L/h. Converting to in$^3$/min can provide an alternative perspective on the delivery rate.
    • Example: An infusion pump delivering 50 mL/h (0.05 L/h) is approximately equal to 0.05085 in$^3$/min.

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 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

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 Litres per hour conversion table

Enter # of Litres per hour
Convert 1 l/h to other unitsResult
Litres per hour to Cubic Millimeters per second (l/h to mm3/s)277.77777777778
Litres per hour to Cubic Centimeters per second (l/h to cm3/s)0.2777777777778
Litres per hour to Cubic Decimeters per second (l/h to dm3/s)0.0002777777777778
Litres per hour to Cubic Decimeters per minute (l/h to dm3/min)0.01666666666667
Litres per hour to Cubic Decimeters per hour (l/h to dm3/h)1
Litres per hour to Cubic Decimeters per day (l/h to dm3/d)24
Litres per hour to Cubic Decimeters per year (l/h to dm3/a)8766
Litres per hour to Millilitres per second (l/h to ml/s)0.2777777777778
Litres per hour to Centilitres per second (l/h to cl/s)0.02777777777778
Litres per hour to Decilitres per second (l/h to dl/s)0.002777777777778
Litres per hour to Litres per second (l/h to l/s)0.0002777777777778
Litres per hour to Litres per minute (l/h to l/min)0.01666666666667
Litres per hour to Litres per day (l/h to l/d)24
Litres per hour to Litres per year (l/h to l/a)8766
Litres per hour to Kilolitres per second (l/h to kl/s)2.7777777777778e-7
Litres per hour to Kilolitres per minute (l/h to kl/min)0.00001666666666667
Litres per hour to Kilolitres per hour (l/h to kl/h)0.001
Litres per hour to Cubic meters per second (l/h to m3/s)2.7777777777778e-7
Litres per hour to Cubic meters per minute (l/h to m3/min)0.00001666666666667
Litres per hour to Cubic meters per hour (l/h to m3/h)0.001
Litres per hour to Cubic meters per day (l/h to m3/d)0.024
Litres per hour to Cubic meters per year (l/h to m3/a)8.766
Litres per hour to Cubic kilometers per second (l/h to km3/s)2.7777777777778e-16
Litres per hour to Teaspoons per second (l/h to tsp/s)0.0563567045
Litres per hour to Tablespoons per second (l/h to Tbs/s)0.01878556816667
Litres per hour to Cubic inches per second (l/h to in3/s)0.01695111815945
Litres per hour to Cubic inches per minute (l/h to in3/min)1.0170670895671
Litres per hour to Cubic inches per hour (l/h to in3/h)61.024025374023
Litres per hour to Fluid Ounces per second (l/h to fl-oz/s)0.009392784083333
Litres per hour to Fluid Ounces per minute (l/h to fl-oz/min)0.563567045
Litres per hour to Fluid Ounces per hour (l/h to fl-oz/h)33.8140227
Litres per hour to Cups per second (l/h to cup/s)0.001174098010417
Litres per hour to Pints per second (l/h to pnt/s)0.0005870490052083
Litres per hour to Pints per minute (l/h to pnt/min)0.0352229403125
Litres per hour to Pints per hour (l/h to pnt/h)2.11337641875
Litres per hour to Quarts per second (l/h to qt/s)0.0002935245026042
Litres per hour to Gallons per second (l/h to gal/s)0.00007338112565104
Litres per hour to Gallons per minute (l/h to gal/min)0.004402867539063
Litres per hour to Gallons per hour (l/h to gal/h)0.2641720523438
Litres per hour to Cubic feet per second (l/h to ft3/s)0.000009809634700287
Litres per hour to Cubic feet per minute (l/h to ft3/min)0.0005885780820172
Litres per hour to Cubic feet per hour (l/h to ft3/h)0.03531468492103
Litres per hour to Cubic yards per second (l/h to yd3/s)3.6331926968299e-7
Litres per hour to Cubic yards per minute (l/h to yd3/min)0.00002179915618098
Litres per hour to Cubic yards per hour (l/h to yd3/h)0.001307949370859

Volume flow rate conversions