To convert cubic feet per second (CFS) to cubic inches per minute (CIPM), you need to use the following conversion factors:
There are 12 inches in a foot, so the conversion from cubic feet to cubic inches is: $1 \text{ cubic foot} = 12^3 \text{ cubic inches} = 1728 \text{ cubic inches}$
There are 60 seconds in a minute, so you need to multiply the flow rate in cubic inches per second by 60 to convert it to cubic inches per minute.
Putting these together, the conversion from cubic feet per second to cubic inches per minute can be done using the following formula:
$1 \text{ CFS} = 1 \text{ cubic foot/second} \times 1728 \text{ cubic inches/cubic foot} \times 60 \text{ seconds/minute}$
Calculating this yields:
$1 \text{ CFS} = 1728 \text{ cubic inches/second} \times 60 \text{ seconds/minute} = 103680 \text{ cubic inches/minute}$
Thus:
$1 \text{ CFS} = 103680 \text{ CIPM}$
Water Flow in Rivers: The flow of water in a river can often be measured in cubic feet per second. For instance, a river might have a flow of about 3,000 CFS. In cubic inches per minute, this would be: $3,000 \times 103680 = 311040000 \text{ CIPM}$
Air Conditioning Systems: A large commercial air conditioning unit might have a flow rate of around 1.5 CFS. This would convert to: $1.5 \times 103680 = 155520 \text{ CIPM}$
Hydraulic Systems: An industrial hydraulic system might operate at about 4 CFS. In cubic inches per minute, this would be: $4 \times 103680 = 414720 \text{ CIPM}$
Sprinkler Systems: A large agricultural sprinkler could have a flow rate of 0.5 CFS, which converts to: $0.5 \times 103680 = 51840 \text{ CIPM}$
These examples demonstrate how cubic feet per second can apply in various contexts, showcasing the conversion to cubic inches per minute for a variety of applications.
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.
Cubic feet per second measures amount of fluid passes though a cross-sectional area. In short, it measures flow rate.
Flow rate can be calculated using following formula. Please note that $t$ is in seconds and $Q$'s unit of measure is ft^3/s.
$Q = \frac{V}{t} = \frac{A*d}{t}$
$Q$ - Flow rate
$V$ - Volume (Cubic feet)
$t$ - Time in second
$A$ - Cross-sectional area
$d$ - Distance the fluid traveled during the time $t$
For more in-depth understanding of the flow rate read Flow Rate and Its Relation to Velocity from LibreTexts Physics website.
Cubic inches per minute (CIDM or CI/min) is a unit of volumetric flow rate, which measures the volume of fluid that passes through a given area in one minute.
To calculate CIDM, you multiply the volume of liquid (in cubic inches) by the number of minutes:
CIDM = Volume of liquid (cubic inches) × Number of minutes
For example, if 10 cubic inches of liquid passes through an area in one minute, then the volumetric flow rate is:
CIDM = 10 cubic inches × 1 minute = 10 CI/min
Convert 1 ft3/s to other units | Result |
---|---|
Cubic feet per second to Cubic Millimeters per second (ft3/s to mm3/s) | 28316831.998814505 |
Cubic feet per second to Cubic Centimeters per second (ft3/s to cm3/s) | 28316.8319988145 |
Cubic feet per second to Millilitres per second (ft3/s to ml/s) | 28316.8319988145 |
Cubic feet per second to Centilitres per second (ft3/s to cl/s) | 2831.6831998814505 |
Cubic feet per second to Decilitres per second (ft3/s to dl/s) | 283.168319988145 |
Cubic feet per second to Litres per second (ft3/s to l/s) | 28.316831998814504 |
Cubic feet per second to Litres per minute (ft3/s to l/min) | 1699.0099199288702 |
Cubic feet per second to Litres per hour (ft3/s to l/h) | 101940.59519573221 |
Cubic feet per second to Kilolitres per second (ft3/s to kl/s) | 0.028316831998814504 |
Cubic feet per second to Kilolitres per minute (ft3/s to kl/min) | 1.6990099199288702 |
Cubic feet per second to Kilolitres per hour (ft3/s to kl/h) | 101.94059519573221 |
Cubic feet per second to Cubic meters per second (ft3/s to m3/s) | 0.028316831998814504 |
Cubic feet per second to Cubic meters per minute (ft3/s to m3/min) | 1.6990099199288702 |
Cubic feet per second to Cubic meters per hour (ft3/s to m3/h) | 101.94059519573221 |
Cubic feet per second to Cubic kilometers per second (ft3/s to km3/s) | 2.8316831998814504e-11 |
Cubic feet per second to Teaspoons per second (ft3/s to tsp/s) | 5745.036 |
Cubic feet per second to Tablespoons per second (ft3/s to Tbs/s) | 1915.012 |
Cubic feet per second to Cubic inches per second (ft3/s to in3/s) | 1728.0070744076086 |
Cubic feet per second to Cubic inches per minute (ft3/s to in3/min) | 103680.42446445652 |
Cubic feet per second to Cubic inches per hour (ft3/s to in3/h) | 6220825.467867391 |
Cubic feet per second to Fluid Ounces per second (ft3/s to fl-oz/s) | 957.506 |
Cubic feet per second to Fluid Ounces per minute (ft3/s to fl-oz/min) | 57450.36 |
Cubic feet per second to Fluid Ounces per hour (ft3/s to fl-oz/h) | 3447021.6 |
Cubic feet per second to Cups per second (ft3/s to cup/s) | 119.68825 |
Cubic feet per second to Pints per second (ft3/s to pnt/s) | 59.844125 |
Cubic feet per second to Pints per minute (ft3/s to pnt/min) | 3590.6475 |
Cubic feet per second to Pints per hour (ft3/s to pnt/h) | 215438.85 |
Cubic feet per second to Quarts per second (ft3/s to qt/s) | 29.9220625 |
Cubic feet per second to Gallons per second (ft3/s to gal/s) | 7.480515625 |
Cubic feet per second to Gallons per minute (ft3/s to gal/min) | 448.8309375 |
Cubic feet per second to Gallons per hour (ft3/s to gal/h) | 26929.85625 |
Cubic feet per second to Cubic feet per minute (ft3/s to ft3/min) | 60 |
Cubic feet per second to Cubic feet per hour (ft3/s to ft3/h) | 3599.9999999999995 |
Cubic feet per second to Cubic yards per second (ft3/s to yd3/s) | 0.03703698259756234 |
Cubic feet per second to Cubic yards per minute (ft3/s to yd3/min) | 2.2222189558537404 |
Cubic feet per second to Cubic yards per hour (ft3/s to yd3/h) | 133.33313735122442 |