Cubic feet per minute (ft3/min) to Litres per minute (l/min) conversion

1 ft3/min = 28.316831998815 l/minl/minft3/min
Formula
1 ft3/min = 28.316831998815 l/min

Understanding Cubic feet per minute to Litres per minute Conversion

Cubic feet per minute (ft3/min) and litres per minute (l/min) are both units of volumetric flow rate, meaning they describe how much volume moves through a system in one minute. Cubic feet per minute is commonly used in U.S. customary and HVAC contexts, while litres per minute is widely used in metric-based engineering, laboratory, medical, and fluid-handling applications.

Converting between these units is useful when comparing equipment specifications, interpreting international technical documents, or matching components that use different measurement systems. It is especially common in ventilation, compressed air, pumps, gas flow, and water distribution work.

Conversion Formula

The verified conversion relationship is:

1 ft3/min=28.316831998815 l/min1 \ \text{ft3/min} = 28.316831998815 \ \text{l/min}

So, to convert from cubic feet per minute to litres per minute:

l/min=ft3/min×28.316831998815\text{l/min} = \text{ft3/min} \times 28.316831998815

The reverse relationship is:

1 l/min=0.03531468492103 ft3/min1 \ \text{l/min} = 0.03531468492103 \ \text{ft3/min}

Which can also be written as:

ft3/min=l/min×0.03531468492103\text{ft3/min} = \text{l/min} \times 0.03531468492103

Step-by-Step Example

Suppose an industrial blower is rated at 12.5 ft3/min12.5 \ \text{ft3/min}.

Write the formula:

l/min=ft3/min×28.316831998815\text{l/min} = \text{ft3/min} \times 28.316831998815

Substitute the value:

l/min=12.5×28.316831998815\text{l/min} = 12.5 \times 28.316831998815

Calculate:

l/min=353.9603999851875\text{l/min} = 353.9603999851875

So:

12.5 ft3/min=353.9603999851875 l/min12.5 \ \text{ft3/min} = 353.9603999851875 \ \text{l/min}

Real-World Examples

  • A small ventilation fan moving 5 ft3/min5 \ \text{ft3/min} of air corresponds to 141.584159994075 l/min141.584159994075 \ \text{l/min}, which may be relevant in enclosed equipment cabinets or electronics cooling.

  • A laboratory gas supply with a flow of 2.2 ft3/min2.2 \ \text{ft3/min} equals 62.296,?62.296,?

  • A portable air compressor rated at 8 ft3/min8 \ \text{ft3/min} delivers 226.53465599052 l/min226.53465599052 \ \text{l/min}, a useful comparison when reviewing metric pneumatic tool requirements.

  • A medical or industrial oxygen line flowing at 1.5 ft3/min1.5 \ \text{ft3/min} corresponds to 42.4752479982225 l/min42.4752479982225 \ \text{l/min}, helping align imperial and metric flow specifications.

  • A process exhaust duct carrying 20 ft3/min20 \ \text{ft3/min} equals 566.3366399763 l/min566.3366399763 \ \text{l/min}, which can appear in equipment datasheets and environmental control documentation.

Interesting Facts

  • The litre is a metric unit of volume equal to one cubic decimetre, and it is widely accepted for use with the International System of Units even though the SI base unit for volume is the cubic metre. Source: NIST
  • Cubic foot and cubic foot per minute are common in airflow measurement, especially in heating, ventilation, and air-conditioning applications. Source: Wikipedia – Cubic foot

Additional Notes on Usage

Cubic feet per minute is often abbreviated as CFM in engineering documents, product manuals, and HVAC specifications. In many cases, CFM refers specifically to airflow, although mathematically it is simply a volume flow rate unit.

Litres per minute is commonly abbreviated as L/min or l/min. It appears frequently in pump curves, medical gas systems, chemical dosing equipment, filtration systems, and laboratory instruments.

Because both units measure volume per unit time, the conversion does not depend on the type of fluid. The same numerical relationship applies whether the flowing substance is air, water, oxygen, nitrogen, or another fluid, as long as the quantity being converted is volumetric flow rate.

When comparing equipment from different regions, ft3/min values are often found in North American product literature, while l/min values are more common in Europe, Asia, and many scientific settings. Accurate conversion helps avoid specification mismatches.

Quick Reference

Using the verified factor:

l/min=ft3/min×28.316831998815\text{l/min} = \text{ft3/min} \times 28.316831998815

Examples:

1 ft3/min=28.316831998815 l/min1 \ \text{ft3/min} = 28.316831998815 \ \text{l/min}

3 ft3/min=84.950495996445 l/min3 \ \text{ft3/min} = 84.950495996445 \ \text{l/min}

10 ft3/min=283.16831998815 l/min10 \ \text{ft3/min} = 283.16831998815 \ \text{l/min}

For reverse conversion:

ft3/min=l/min×0.03531468492103\text{ft3/min} = \text{l/min} \times 0.03531468492103

This is helpful when a datasheet lists flow in litres per minute but a system requirement is expressed in cubic feet per minute.

Summary

Cubic feet per minute and litres per minute both measure volumetric flow rate, but they belong to different measurement systems. Using the verified relationship 1 ft3/min=28.316831998815 l/min1 \ \text{ft3/min} = 28.316831998815 \ \text{l/min} makes it straightforward to convert airflow or fluid flow values for technical, industrial, scientific, and commercial applications.

How to Convert Cubic feet per minute to Litres per minute

To convert Cubic feet per minute to Litres per minute, multiply the flow rate by the conversion factor between the two units. In this case, each 11 ft$^3$/min equals 28.31683199881528.316831998815 l/min.

  1. Write down the given value:
    Start with the flow rate you want to convert:

    25 ft3/min25\ \text{ft}^3/\text{min}

  2. Use the conversion factor:
    The required conversion factor is:

    1 ft3/min=28.316831998815 l/min1\ \text{ft}^3/\text{min} = 28.316831998815\ \text{l/min}

  3. Set up the multiplication:
    Multiply the given value by the conversion factor so the ft$^3$/min unit converts directly to l/min:

    25×28.31683199881525 \times 28.316831998815

  4. Calculate the result:
    Perform the multiplication:

    25×28.316831998815=707.9207999703625 \times 28.316831998815 = 707.92079997036

  5. Result:

    25 ft3/min=707.92079997036 l/min25\ \text{ft}^3/\text{min} = 707.92079997036\ \text{l/min}

A quick way to check your work is to estimate: since 25×2870025 \times 28 \approx 700, the final answer should be a little above 700700 l/min. This helps confirm the result is reasonable.

Cubic feet per minute to Litres per minute conversion table

Cubic feet per minute (ft3/min)Litres per minute (l/min)
00
128.316831998815
256.633663997629
384.950495996444
4113.26732799526
5141.58415999407
6169.90099199289
7198.2178239917
8226.53465599052
9254.85148798933
10283.16831998815
15424.75247998222
20566.33663997629
25707.92079997036
30849.50495996444
401132.6732799526
501415.8415999407
601699.0099199289
701982.178239917
802265.3465599052
902548.5148798933
1002831.6831998815
1504247.5247998222
2005663.3663997629
2507079.2079997036
3008495.0495996444
40011326.732799526
50014158.415999407
60016990.099199289
70019821.78239917
80022653.465599052
90025485.148798933
100028316.831998815
200056633.663997629
300084950.495996444
4000113267.32799526
5000141584.15999407
10000283168.31998815
25000707920.79997036
500001415841.5999407
1000002831683.1998815
2500007079207.9997036
50000014158415.999407
100000028316831.998815

What is cubic feet per minute?

What is Cubic feet per minute?

Cubic feet per minute (CFM) is a unit of measurement that expresses the volume of a substance (usually air or gas) flowing per minute. It's commonly used to measure airflow in ventilation, HVAC systems, and other industrial processes. Understanding CFM helps in selecting appropriate equipment and ensuring efficient system performance.

Understanding Cubic Feet per Minute (CFM)

Definition

CFM defines the amount of cubic feet that passes through a specific area in one minute. It is a standard unit for measuring volume flow rate in the United States.

How it is formed?

CFM is derived from the units of volume (cubic feet, ft3ft^3) and time (minutes, min). Therefore, 1 CFM means one cubic foot of a substance passes a specific point every minute.

Formula

The relationship between volume, time, and CFM can be expressed as:

CFM=Volume(ft3)Time(minutes)CFM = \frac{Volume (ft^3)}{Time (minutes)}

Real-World Applications and Examples

HVAC Systems

  • Home Ventilation: A typical bathroom exhaust fan might have a CFM rating of 50-100, depending on the bathroom's size. This ensures adequate removal of moisture and odors.
  • Air Conditioners: The CFM rating of a central air conditioning system is crucial for proper cooling. For instance, a 2.5-ton AC unit might require around 1000 CFM to effectively cool a space.
  • Furnaces: Furnaces use CFM to ensure proper airflow across the heat exchanger, maintaining efficiency and preventing overheating.

Industrial Applications

  • Pneumatic Tools: Air compressors powering pneumatic tools (like nail guns or impact wrenches) are often rated by CFM delivered at a certain pressure (PSI). For example, a heavy-duty impact wrench might require 5 CFM at 90 PSI.
  • Spray Painting: Air compressors used for spray painting need a specific CFM to atomize the paint properly. An automotive paint job may require a compressor delivering 10-15 CFM at 40 PSI.
  • Dust Collection: Dust collection systems in woodworking shops use CFM to extract sawdust and debris from the air, maintaining a clean and safe working environment. A small shop might use a system with 600-800 CFM.

Other Examples

  • Computer Cooling: Fans used to cool computer components (CPUs, GPUs) are rated in CFM to indicate how much air they can move across the heat sink.
  • Leaf Blowers: Leaf blowers are often specified by CFM, indicating their ability to move leaves and debris.

Interesting Facts

Standard Conditions

When comparing CFM values, it's important to note the conditions under which they were measured. Standard conditions for airflow are typically at a specific temperature and pressure (e.g., Standard Temperature and Pressure, or STP).

Conversion to Other Units

CFM can be converted to other volume flow rate units, such as cubic meters per hour (m3/hm^3/h) or liters per second (L/s), using appropriate conversion factors.

  • 1 CFM ≈ 1.699 m3/hm^3/h
  • 1 CFM ≈ 0.472 L/s

Relationship to Velocity

CFM is related to air velocity and the cross-sectional area of the flow. The formula linking these is:

CFM=Area(ft2)×Velocity(ft/min)CFM = Area (ft^2) \times Velocity (ft/min)

This relationship is crucial in designing ductwork and ventilation systems to ensure proper airflow. You can find more about this relationship on engineering websites such as How to measure air volume flow or air velocity?

What is Litres per minute?

Litres per minute (LPM) is a unit of volumetric flow rate, measuring the volume of liquid or gas that passes through a specific point in one minute. It is commonly used in various fields to quantify the rate of fluid transfer.

Understanding Litres per Minute (LPM)

LPM expresses how many litres of a substance flow through a given area in one minute. A litre is a unit of volume defined as 0.001 cubic meters, or 1000 cubic centimetres. Therefore, 1 LPM is equivalent to 1/1000 of a cubic meter per minute.

How is Litres per Minute Formed?

LPM is derived from the base units of volume (litres) and time (minutes). The formula to calculate flow rate in litres per minute is:

Flow Rate (LPM)=Volume (Litres)Time (Minutes)\text{Flow Rate (LPM)} = \frac{\text{Volume (Litres)}}{\text{Time (Minutes)}}

For example, if 50 litres of water flow out of a tap in one minute, the flow rate is 50 LPM.

Common Conversions

Here's a table of conversions between LPM and other common flow rate units:

Unit Conversion to LPM
1 Cubic Meter/Hour ≈ 16.67 LPM
1 Gallon/Minute (GPM) ≈ 3.785 LPM
1 Millilitre/Minute (mL/min) = 0.001 LPM

Real-World Applications and Examples

  • Medical Oxygen Delivery: Oxygen concentrators and ventilators often specify flow rates in LPM. A typical oxygen concentrator might deliver oxygen at a rate of 2-5 LPM.

  • Water Flow in a Household: The flow rate of water from a tap or showerhead is often measured in LPM. For instance, a water-saving showerhead might have a flow rate of 7-10 LPM.

  • Aquarium Filters: The performance of aquarium filters is often rated in LPM, indicating how quickly the filter can process the aquarium water. An aquarium filter might have a flow rate of 500 LPM.

  • HVAC Systems: Airflow in HVAC (Heating, Ventilation, and Air Conditioning) systems is sometimes specified in LPM, especially in smaller systems or components.

  • Industrial Processes: Many industrial processes involving fluids, such as chemical mixing or cooling, use LPM to measure and control flow rates.

Interesting Facts

While there isn't a specific "law" named after LPM, the principles of fluid dynamics and flow rate are governed by laws such as the Hagen-Poiseuille equation, which relates flow rate to pressure, viscosity, and dimensions of the pipe.

The measurement of flow rate has been crucial in the development of various technologies and industries, from water management to chemical engineering. The accurate measurement of flow is essential for efficiency, safety, and control in many processes. For more information on this, read the Fluid dynamics article from sciencelearn.org.nz.

Frequently Asked Questions

What is the formula to convert Cubic feet per minute to Litres per minute?

To convert Cubic feet per minute to Litres per minute, multiply the flow rate in ft3/minft^3/min by the verified factor 28.31683199881528.316831998815. The formula is l/min=ft3/min×28.316831998815l/min = ft^3/min \times 28.316831998815. This gives the equivalent volumetric flow rate in metric units.

How many Litres per minute are in 1 Cubic foot per minute?

There are exactly 28.316831998815 l/min28.316831998815\ l/min in 1 ft3/min1\ ft^3/min. This is the verified conversion factor used for all calculations on the page. It provides a direct way to switch from imperial to metric flow units.

Why would I convert Cubic feet per minute to Litres per minute?

This conversion is useful when comparing airflow or fluid flow specifications across systems that use different unit standards. For example, HVAC equipment, compressors, pumps, and ventilation systems may list flow in either ft3/minft^3/min or l/minl/min. Converting helps ensure accurate sizing, selection, and performance comparison.

Is Cubic feet per minute the same as Litres per minute?

No, they measure the same type of quantity—volumetric flow rate—but they are not the same unit. Cubic feet per minute is an imperial unit, while Litres per minute is a metric unit. You convert between them using 1 ft3/min=28.316831998815 l/min1\ ft^3/min = 28.316831998815\ l/min.

Can I use the same conversion factor for air, water, and other fluids?

Yes, because this is a unit conversion for volume flow rate, not a property of a specific substance. The factor 1 ft3/min=28.316831998815 l/min1\ ft^3/min = 28.316831998815\ l/min applies regardless of whether the flowing medium is air, water, or another fluid. However, pressure, temperature, and density may still matter in engineering applications.

How do I convert a larger value from Cubic feet per minute to Litres per minute?

Multiply the number of ft3/minft^3/min by 28.31683199881528.316831998815 to get l/minl/min. For example, the setup for 10 ft3/min10\ ft^3/min is 10×28.31683199881510 \times 28.316831998815. This method works for any flow value.

Complete Cubic feet per minute conversion table

ft3/min
UnitResult
Cubic Millimeters per second (mm3/s)471947.19998024 mm3/s
Cubic Centimeters per second (cm3/s)471.94719998024 cm3/s
Cubic Decimeters per second (dm3/s)0.4719471999802 dm3/s
Cubic Decimeters per minute (dm3/min)28.316831998815 dm3/min
Cubic Decimeters per hour (dm3/h)1699.0099199289 dm3/h
Cubic Decimeters per day (dm3/d)40776.238078293 dm3/d
Cubic Decimeters per year (dm3/a)14893520.958096 dm3/a
Millilitres per second (ml/s)471.94719998024 ml/s
Centilitres per second (cl/s)47.194719998024 cl/s
Decilitres per second (dl/s)4.7194719998024 dl/s
Litres per second (l/s)0.4719471999802 l/s
Litres per minute (l/min)28.316831998815 l/min
Litres per hour (l/h)1699.0099199289 l/h
Litres per day (l/d)40776.238078293 l/d
Litres per year (l/a)14893520.958096 l/a
Kilolitres per second (kl/s)0.0004719471999802 kl/s
Kilolitres per minute (kl/min)0.02831683199881 kl/min
Kilolitres per hour (kl/h)1.6990099199289 kl/h
Cubic meters per second (m3/s)0.0004719471999802 m3/s
Cubic meters per minute (m3/min)0.02831683199881 m3/min
Cubic meters per hour (m3/h)1.6990099199289 m3/h
Cubic meters per day (m3/d)40.776238078293 m3/d
Cubic meters per year (m3/a)14893.520958096 m3/a
Cubic kilometers per second (km3/s)4.7194719998024e-13 km3/s
Teaspoons per second (tsp/s)95.7506 tsp/s
Tablespoons per second (Tbs/s)31.916866666667 Tbs/s
Cubic inches per second (in3/s)28.800117906793 in3/s
Cubic inches per minute (in3/min)1728.0070744076 in3/min
Cubic inches per hour (in3/h)103680.42446446 in3/h
Fluid Ounces per second (fl-oz/s)15.958433333333 fl-oz/s
Fluid Ounces per minute (fl-oz/min)957.506 fl-oz/min
Fluid Ounces per hour (fl-oz/h)57450.36 fl-oz/h
Cups per second (cup/s)1.9948041666667 cup/s
Pints per second (pnt/s)0.9974020833333 pnt/s
Pints per minute (pnt/min)59.844125 pnt/min
Pints per hour (pnt/h)3590.6475 pnt/h
Quarts per second (qt/s)0.4987010416667 qt/s
Gallons per second (gal/s)0.1246752604167 gal/s
Gallons per minute (gal/min)7.480515625 gal/min
Gallons per hour (gal/h)448.8309375 gal/h
Cubic feet per second (ft3/s)0.01666666666667 ft3/s
Cubic feet per hour (ft3/h)60 ft3/h
Cubic yards per second (yd3/s)0.0006172830432927 yd3/s
Cubic yards per minute (yd3/min)0.03703698259756 yd3/min
Cubic yards per hour (yd3/h)2.2222189558537 yd3/h

Volume flow rate conversions