Understanding Cubic feet per hour to Pints per second Conversion
Cubic feet per hour () and pints per second () are both units of volume flow rate, which describes how much volume moves through a system over time. Converting between them is useful when comparing flow measurements from different industries, equipment specifications, or regional unit systems.
Cubic feet per hour is commonly seen in ventilation, gas flow, and industrial process data, while pints per second expresses the same type of flow using a smaller liquid-volume unit over a shorter time interval. A conversion helps place large hourly flow values into a more intuitive per-second scale.
Conversion Formula
To convert cubic feet per hour to pints per second, use the verified relationship:
So the general formula is:
The inverse conversion is:
Which can also be written as:
Step-by-Step Example
Convert to pints per second.
1. Write the formula
2. Substitute the value
3. Calculate
So,
Real-World Examples
- A small ventilation or gas transfer system rated at corresponds to .
- A laboratory or pilot-process line moving converts to .
- A utility flow reading of is equal to .
- A larger industrial stream measured at converts to .
Interesting Facts
- The cubic foot is a customary unit of volume used in the United States and appears frequently in airflow, natural gas, and refrigeration measurements. Source: Wikipedia – Cubic foot
- A pint is a traditional unit of volume, but its exact size depends on the measurement system; the U.S. liquid pint differs from the imperial pint. That distinction is important in unit conversion contexts. Source: Britannica – pint
Notes on Using This Conversion
When working from to , the numerical value often becomes smaller because the conversion moves from a larger volume unit per hour to a smaller volume unit per second. The exact factor to use on this page is the verified value:
For repeated calculations, the same factor applies every time:
If converting back in the opposite direction, use:
This is especially helpful when comparing equipment labels, process sheets, engineering tables, or mixed-unit datasets. Consistent unit conversion reduces interpretation errors and allows direct comparison of flow rates reported in different formats.
In technical documentation, flow rate units matter because they combine both volume and time. Even if two values describe the same physical flow, they can appear very different numerically when expressed in versus .
For quick reference:
These relationships make it easier to estimate whether a converted result is in the expected range before using a calculator or conversion tool.
How to Convert Cubic feet per hour to Pints per second
To convert Cubic feet per hour to Pints per second, multiply the flow rate by the conversion factor between these two units. For this example, use the verified factor .
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Write the given value: Start with the flow rate you want to convert.
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Use the conversion factor: Apply the factor that converts Cubic feet per hour directly to Pints per second.
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Set up the multiplication: Multiply the given value by the conversion factor so the original unit cancels.
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Calculate the result: Perform the multiplication.
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Result: The converted flow rate is:
A quick way to check your work is to confirm the units cancel correctly and only remains. Keeping the full conversion factor helps avoid rounding errors.
Cubic feet per hour to Pints per second conversion table
| Cubic feet per hour (ft3/h) | Pints per second (pnt/s) |
|---|---|
| 0 | 0 |
| 1 | 0.01662336805556 |
| 2 | 0.03324673611111 |
| 3 | 0.04987010416667 |
| 4 | 0.06649347222222 |
| 5 | 0.08311684027778 |
| 6 | 0.09974020833333 |
| 7 | 0.1163635763889 |
| 8 | 0.1329869444444 |
| 9 | 0.1496103125 |
| 10 | 0.1662336805556 |
| 15 | 0.2493505208333 |
| 20 | 0.3324673611111 |
| 25 | 0.4155842013889 |
| 30 | 0.4987010416667 |
| 40 | 0.6649347222222 |
| 50 | 0.8311684027778 |
| 60 | 0.9974020833333 |
| 70 | 1.1636357638889 |
| 80 | 1.3298694444444 |
| 90 | 1.496103125 |
| 100 | 1.6623368055556 |
| 150 | 2.4935052083333 |
| 200 | 3.3246736111111 |
| 250 | 4.1558420138889 |
| 300 | 4.9870104166667 |
| 400 | 6.6493472222222 |
| 500 | 8.3116840277778 |
| 600 | 9.9740208333333 |
| 700 | 11.636357638889 |
| 800 | 13.298694444444 |
| 900 | 14.96103125 |
| 1000 | 16.623368055556 |
| 2000 | 33.246736111111 |
| 3000 | 49.870104166667 |
| 4000 | 66.493472222222 |
| 5000 | 83.116840277778 |
| 10000 | 166.23368055556 |
| 25000 | 415.58420138889 |
| 50000 | 831.16840277778 |
| 100000 | 1662.3368055556 |
| 250000 | 4155.8420138889 |
| 500000 | 8311.6840277778 |
| 1000000 | 16623.368055556 |
What is Cubic feet per hour?
Cubic feet per hour (CFH) is a unit used to measure the volumetric flow rate. It represents the volume of a substance (gas or liquid) that passes through a specific area per hour, measured in cubic feet. It's a common unit in various fields, especially when dealing with gas and air flow.
Definition of Cubic Feet per Hour
Cubic feet per hour (CFH) is defined as the volume of a substance, measured in cubic feet, that flows past a point in one hour.
How CFH is Formed
CFH is derived from the basic units of volume (cubic feet) and time (hour). It directly expresses how many cubic feet of a substance move within one hour. No special law or constant is specifically tied to the definition of CFH itself. It is a direct measure of flow rate, useful in practical applications.
Calculating Volume Flow Rate
The volume flow rate (Q) in cubic feet per hour can be determined using the following formula:
Where:
- = Volume flow rate (ft³/hour)
- = Cross-sectional area of the flow (ft²)
- = Average velocity of the flow (ft/hour)
Another way to calculate it is:
Where:
- = Volume flow rate (ft³/hour)
- = Volume (ft³)
- = Time (hours)
Real-World Examples of CFH
- Natural Gas Consumption: Home appliances like furnaces, water heaters, and stoves are rated in terms of CFH to indicate their natural gas consumption. A typical furnace might consume 80-120 CFH of natural gas.
- HVAC Systems: Air conditioning and ventilation systems use CFH to measure the airflow rate in ductwork. A residential HVAC system might require airflow rates between 400 and 1600 CFH, depending on the size of the home.
- Compressed Air Systems: Pneumatic tools and equipment in factories use compressed air. The compressor output is often rated in CFH or cubic feet per minute (CFM, which can easily be converted to CFH by multiplying by 60) to indicate the volume of air it can supply.
- Industrial Processes: Many industrial processes, such as chemical manufacturing or food processing, involve controlling the flow rate of liquids or gases. CFH can be used to specify the desired flow rate of a particular fluid. For example, a chemical reactor might require a flow of 50 CFH of nitrogen gas.
- Ventilation Systems: Exhaust fans in bathrooms or kitchens are often rated in CFM (cubic feet per minute), which can be converted to CFH. A typical bathroom exhaust fan might be rated at 50-100 CFM, which equals 3000-6000 CFH.
What is pints per second?
Pints per second (pint/s) measures the volume of fluid that passes a point in a given amount of time. It's a unit of volumetric flow rate, commonly used for liquids.
Understanding Pints per Second
Pints per second is a rate, indicating how many pints of a substance flow past a specific point every second. It is typically a more practical unit for measuring smaller flow rates, while larger flow rates might be expressed in gallons per minute or liters per second.
Formation of the Unit
The unit is derived from two base units:
- Pint (pint): A unit of volume. In the US system, there are both liquid and dry pints. Here, we refer to liquid pints.
- Second (s): A unit of time.
Combining these, we get pints per second (pint/s), representing volume per unit time.
Formula and Calculation
Flow rate () is generally calculated as:
Where:
- is the flow rate (in pints per second)
- is the volume (in pints)
- is the time (in seconds)
Real-World Examples & Conversions
While "pints per second" might not be the most common unit encountered daily, understanding the concept of volume flow rate is crucial. Here are a few related examples and conversions to provide perspective:
- Dosing Pumps: Small dosing pumps used in chemical processing or water treatment might operate at flow rates measurable in pints per second.
- Small Streams/Waterfalls: The flow rate of a small stream or the outflow of a small waterfall could be estimated in pints per second.
Conversions to other common units:
- 1 pint/s = 0.125 gallons/s
- 1 pint/s = 7.48 gallons/minute
- 1 pint/s = 0.473 liters/s
- 1 pint/s = 473.176 milliliters/s
Related Concepts and Applications
While there isn't a specific "law" tied directly to pints per second, it's essential to understand how flow rate relates to other physical principles:
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Fluid Dynamics: Pints per second is a practical unit within fluid dynamics, helping to describe the motion of liquids.
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Continuity Equation: The principle of mass conservation in fluid dynamics leads to the continuity equation, which states that for an incompressible fluid in a closed system, the mass flow rate is constant. For a fluid with constant density , the volumetric flow rate is constant. Mathematically, this can be expressed as:
Where is the cross-sectional area of the flow and is the average velocity. This equation means that if you decrease the cross-sectional area, the velocity of the flow must increase to maintain a constant flow rate in or .
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Hagen-Poiseuille Equation: This equation describes the pressure drop of an incompressible and Newtonian fluid in laminar flow through a long cylindrical pipe. Flow rate is directly proportional to the pressure difference and inversely proportional to the fluid's viscosity and the length of the pipe.
Where:
- is the volumetric flow rate (e.g., in ).
- is the radius of the pipe.
- is the pressure difference between the ends of the pipe.
- is the dynamic viscosity of the fluid.
- is the length of the pipe.
Frequently Asked Questions
What is the formula to convert Cubic feet per hour to Pints per second?
Use the verified factor: .
The formula is .
How many Pints per second are in 1 Cubic foot per hour?
There are in .
This is the direct conversion value and can be used as a reference for any larger or smaller amount.
How do I convert a specific ft3/h value to pnt/s?
Multiply the number of cubic feet per hour by .
For example, if you have , then gives the flow rate in .
When would converting ft3/h to pnt/s be useful?
This conversion is useful when comparing flow rates across systems that use different unit standards, such as HVAC, fluid handling, or lab equipment.
It can also help when equipment specifications list capacity in cubic feet per hour, but a process or report needs pints per second.
Why is the conversion factor so small?
A cubic foot is a larger volume unit, and an hour is a longer time unit than a second.
Because you are converting to a smaller time interval and a different volume unit, the result becomes for each .
Can I use this conversion factor for any flow rate?
Yes, as long as the value is in cubic feet per hour and you want the result in pints per second.
The same fixed factor applies every time: .