Understanding Cubic feet per minute to Litres per hour Conversion
Cubic feet per minute () and litres per hour () are both units of volumetric flow rate, meaning they describe how much volume moves through a system over time. Cubic feet per minute is commonly used in HVAC, ventilation, and industrial airflow contexts, while litres per hour is often used in pumps, dosing systems, laboratory equipment, and fluid handling. Converting between them helps compare specifications across industries and between imperial and metric measurement systems.
Conversion Formula
The verified relationship between these units is:
To convert from cubic feet per minute to litres per hour, use:
The reverse conversion is:
Since this page focuses on converting to , the main formula is:
Step-by-Step Example
Suppose a ventilation or fluid transfer system has a flow rate of .
Write the formula:
Substitute the given value:
Calculate:
So:
Real-World Examples
- A compact workshop dust extraction line moving corresponds to .
- A laboratory circulation system rated at converts to .
- A small industrial blower delivering equals .
- A process transfer line operating at corresponds to .
Interesting Facts
- Cubic feet per minute, often written as CFM, is a widely used unit for airflow in heating, ventilation, and air conditioning applications. It is especially common in equipment specifications for fans, blowers, and air handling systems. Source: Wikipedia: Cubic feet per minute
- The litre is a metric unit of volume equal to one cubic decimetre, and it is accepted for use with the International System of Units even though it is not an SI base unit. This makes litres per hour a practical metric flow unit for many engineering and scientific applications. Source: NIST SI Units – units outside the SI
How to Convert Cubic feet per minute to Litres per hour
To convert Cubic feet per minute to Litres per hour, multiply the flow rate by the conversion factor between these two units. For this example, use the verified factor .
-
Write down the given value:
Start with the flow rate you want to convert: -
Use the conversion factor:
Apply the verified conversion factor: -
Set up the multiplication:
Multiply the given value by the factor so the unit changes from Cubic feet per minute to Litres per hour: -
Calculate the result:
-
Result:
A quick way to check your work is to make sure the result is much larger, since converting from per minute to per hour increases the value. Keep the full conversion factor to maintain accuracy in your final answer.
Cubic feet per minute to Litres per hour conversion table
| Cubic feet per minute (ft3/min) | Litres per hour (l/h) |
|---|---|
| 0 | 0 |
| 1 | 1699.0099199289 |
| 2 | 3398.0198398577 |
| 3 | 5097.0297597866 |
| 4 | 6796.0396797155 |
| 5 | 8495.0495996444 |
| 6 | 10194.059519573 |
| 7 | 11893.069439502 |
| 8 | 13592.079359431 |
| 9 | 15291.08927936 |
| 10 | 16990.099199289 |
| 15 | 25485.148798933 |
| 20 | 33980.198398577 |
| 25 | 42475.247998222 |
| 30 | 50970.297597866 |
| 40 | 67960.396797155 |
| 50 | 84950.495996444 |
| 60 | 101940.59519573 |
| 70 | 118930.69439502 |
| 80 | 135920.79359431 |
| 90 | 152910.8927936 |
| 100 | 169900.99199289 |
| 150 | 254851.48798933 |
| 200 | 339801.98398577 |
| 250 | 424752.47998222 |
| 300 | 509702.97597866 |
| 400 | 679603.96797155 |
| 500 | 849504.95996444 |
| 600 | 1019405.9519573 |
| 700 | 1189306.9439502 |
| 800 | 1359207.9359431 |
| 900 | 1529108.927936 |
| 1000 | 1699009.9199289 |
| 2000 | 3398019.8398577 |
| 3000 | 5097029.7597866 |
| 4000 | 6796039.6797155 |
| 5000 | 8495049.5996444 |
| 10000 | 16990099.199289 |
| 25000 | 42475247.998222 |
| 50000 | 84950495.996444 |
| 100000 | 169900991.99289 |
| 250000 | 424752479.98222 |
| 500000 | 849504959.96444 |
| 1000000 | 1699009919.9289 |
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, ) 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:
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 () or liters per second (L/s), using appropriate conversion factors.
- 1 CFM ≈ 1.699
- 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:
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 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 () in litres per hour can be calculated using the following formula:
Where:
- = Flow rate (L/h)
- = Volume (L)
- = 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 /h (cubic meters per hour)
- 1 L/h ≈ 0.264 US gallons per hour
Frequently Asked Questions
What is the formula to convert Cubic feet per minute to Litres per hour?
To convert Cubic feet per minute to Litres per hour, multiply the flow rate by the verified factor . The formula is: . This gives the equivalent volume flow in litres per hour.
How many Litres per hour are in 1 Cubic foot per minute?
There are exactly in based on the verified conversion factor. This is the standard value used on this converter page. It helps you quickly compare imperial and metric flow rates.
Why would I convert Cubic feet per minute to Litres per hour?
This conversion is useful when working with airflow, gas flow, water systems, pumps, and ventilation equipment that use different unit systems. Many technical documents in the U.S. use , while international specifications often use . Converting ensures values are understood consistently across regions and industries.
Can I use this conversion for real-world equipment ratings?
Yes, this conversion is commonly used for fans, compressors, air filters, HVAC systems, and fluid transfer equipment. If a device is rated in but your project documentation requires , multiply by . Always check whether the manufacturer refers to actual flow, standard flow, or test-condition flow.
How do I convert a value from ft3/min to l/h manually?
Take the number of Cubic feet per minute and multiply it by . For example, if a flow rate is , then the result is . This method works for any value entered into the converter.
Is the conversion factor always the same?
Yes, the factor is constant for unit conversion. It does not change with the material being measured because it is based only on volume and time units. However, measured flow in practice can still vary due to pressure, temperature, and operating conditions.