To convert cubic feet per second (cfs) to cups per second, you need to use the conversion factors between these two volume units.
Cubic Feet to Cubic Inches:
There are 1728 cubic inches in a cubic foot, since:
$1 \text{ ft}^3 = 12 \text{ in} \times 12 \text{ in} \times 12 \text{ in} = 1728 \text{ in}^3$
Cubic Inches to Cups:
There are 48 cubic inches in a cup:
$1 \text{ cup} = 12 \text{ in} \times 12 \text{ in} \times 0.5 \text{ in} = 48 \text{ in}^3$
Conversion Calculation: Now you can convert cubic feet per second to cups per second: $1 \text{ cfs} = 1728 \text{ in}^3/\text{s} \times \frac{1 \text{ cup}}{48 \text{ in}^3}$ Simplifying this gives: $1 \text{ cfs} = 36 \text{ cups/s}$
River Flow: A river with a flow rate of 100 cfs is moving a significant volume of water. This could represent a sizeable stream that supports various ecological systems.
Water Treatment Plant: A small water treatment facility might process around 50 cfs of wastewater during peak operation hours, ensuring that the local community has clean water.
Irrigation: Agricultural systems might use an irrigation setup that distributes water at a rate of 25 cfs, allowing for efficient watering of large fields.
Fire Hydrant Flow Test: During a fire flow test, a fire hydrant might be capable of discharging at a rate of 500 cfs, which would provide sufficient water pressure to combat fires in nearby structures.
Through these examples and the conversion method shown, you can visualize how flow rates in cfs can be understood in terms of smaller units like cups, appropriate for various 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 Cups per second 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.
A simple yet interesting unit!
Cups per second (CPS) is a unit of measurement that represents the flow rate of a liquid. It's defined as one cup (or 236.6 milliliters in the US customary system) per second.
In practical terms, if something flows at a rate of 1 CPS, it means that 1 cup of fluid passes through a given point or outlet every second. This unit is often used to express the flow rate of liquids in industrial processes, laboratory settings, and other applications where precise measurement of liquid flow is important.
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 |