Volumetric flow rate.
Cubic foot per Seconds to Cubic inches per Millisecond Converter — ft3/s to in3/ms
Convert Cubic foot per Seconds (ft3/s) to Cubic inch per Millisecond (in3/ms) using the exact conversion factor (1 cubic foot per seconds = 1.728 cubic inch per millisecond). See the formula, worked examples, conversion table, and common uses.
Cubic foot per Seconds to Cubic inches per Millisecond converter
Converter
Flow Rate Converter
Convert volumetric flow rates across metric, US, imperial, industrial, and scientific units.
Context values
Some unit families need one extra value for a physically accurate result.
Volumetric flow rate.
Result = input x 0.02831684659 / 0.016387064.
Flow rate uses cubic meters per second as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Cubic foot per Seconds to Cubic inches per Millisecond
Cubic foot per Seconds and Cubic inch per Millisecond both measure volumetric flow rate — how much volume passes a point over time — used to size pipes and pumps, monitor river or stream discharge, control industrial processes, and set medical infusion rates. Cubic foot per Seconds is most often used for the standard unit used by the us geological survey for reporting river and stream discharge at gauging stations.
Formula
cubic inches per millisecond = cubic foot per seconds × 1.728
This factor comes from each unit's defined relationship to the category's base unit: 1 cubic foot per seconds equals 0.028316846592 base units, and 1 cubic inch per millisecond equals 0.016387064 base units, so dividing one by the other gives the direct cubic foot per seconds-to-cubic inch per millisecond factor of 1.728.
Simple example
1 ft3/s × 1.728 = 1.728 in3/ms
1 cubic foot per seconds = 1.728 cubic inches per millisecond.
Real-world example
60 ft3/s × 1.728 = 103.68 in3/ms
60 cubic foot per seconds = 103.68 cubic inches per millisecond.
Conversion table
| Cubic foot per Seconds (ft3/s) | Cubic inch per Millisecond (in3/ms) |
|---|---|
| 0.1 ft3/s | 0.1728 in3/ms |
| 1 ft3/s | 1.728 in3/ms |
| 10 ft3/s | 17.28 in3/ms |
| 60 ft3/s | 103.68 in3/ms |
| 100 ft3/s | 172.8 in3/ms |
| 1,000 ft3/s | 1,728 in3/ms |
Reverse conversion: Cubic inch per Millisecond to Cubic foot per Seconds
1.728 in3/ms × 0.5787037037 = 1 ft3/s
1.728 cubic inches per millisecond = 1 cubic foot per seconds.
cubic foot per seconds = cubic inches per millisecond × 0.578703703704
For a page dedicated to this direction, see Cubic inch per Millisecond to Cubic foot per Seconds.
Understanding the Cubic foot per Seconds
Cubic foot per Seconds (ft3/s) measures volumetric flow rate. One cubic foot of volume passing a point every second. It is classified as a US customary flow-rate unit.
Where it's used: United States
Uses of the Cubic foot per Seconds today
- The standard unit used by the US Geological Survey for reporting river and stream discharge at gauging stations
Understanding the Cubic inch per Millisecond (in3/ms)
Volumetric flow rate.
Cubic foot per Seconds — sources
- USGS Water Science School — Cubic feet per second (cfs) is the standard unit USGS uses to report streamflow.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many cubic inches per millisecond are in 1 cubic foot per seconds?
1 cubic foot per seconds equals 1.728 cubic inches per millisecond, using the exact defined conversion factor rather than an estimate.
How do I convert cubic foot per seconds to cubic inch per millisecond?
Multiply the cubic foot per seconds value by 1.728. The converter above does this instantly to whatever precision you set.
How do I convert cubic inch per millisecond back to cubic foot per seconds?
Use the reverse factor: 1 cubic inch per millisecond equals 0.5787037037 cubic foot per seconds. You can also use the swap control in the converter above to flip the direction instantly.
What is a cubic foot per seconds?
Cubic foot per Seconds (ft3/s) measures volumetric flow rate. One cubic foot of volume passing a point every second. It is classified as a US customary flow-rate unit.
What is a cubic inch per millisecond?
Cubic inch per Millisecond (in3/ms) is a unit of flow rate.
Is the cubic foot per seconds to cubic inch per millisecond conversion exact?
Yes. Both cubic foot per seconds and cubic inch per millisecond are defined by fixed standards rather than physical artifacts, so the factor of 1.728 used above is exact to as many digits as you choose to display.
Where is the cubic foot per seconds still used today?
United States
What's the difference between volumetric and mass flow rate?
Volumetric flow rate measures the volume of fluid passing a point per unit time (for example, liters per second). Mass flow rate measures the mass instead. For a fluid of constant density the two are directly proportional, but for compressible fluids like gases, mass flow is often the more meaningful quantity.