Volumetric flow rate.
Cubic inch per Seconds to Cubic feet per Millisecond Converter — in3/s to ft3/ms
Convert Cubic inch per Seconds (in3/s) to Cubic foot per Millisecond (ft3/ms) using the exact conversion factor (1 cubic inch per seconds = 5.787037e-7 cubic foot per millisecond). See the formula, worked examples, and conversion table.
Cubic inch per Seconds to Cubic feet 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 1.6387064e-5 / 28.31684659.
Flow rate uses cubic meters per second as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Cubic inch per Seconds to Cubic feet per Millisecond
Cubic inch per Seconds and Cubic foot 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. Both are volumetric flow rate units.
Formula
cubic feet per millisecond = cubic inch per seconds × 5.787037e-7
This factor comes from each unit's defined relationship to the category's base unit: 1 cubic inch per seconds equals 0.000016387064 base units, and 1 cubic foot per millisecond equals 28.316846592 base units, so dividing one by the other gives the direct cubic inch per seconds-to-cubic foot per millisecond factor of 5.787037e-7.
Simple example
1 in3/s × 5.787037e-7 = 5.787037e-7 ft3/ms
1 cubic inch per seconds = 5.787037e-7 cubic feet per millisecond.
Real-world example
60 in3/s × 5.787037e-7 = 0.0000347222 ft3/ms
60 cubic inch per seconds = 0.0000347222 cubic feet per millisecond.
Conversion table
| Cubic inch per Seconds (in3/s) | Cubic foot per Millisecond (ft3/ms) |
|---|---|
| 0.1 in3/s | 5.787037e-8 ft3/ms |
| 1 in3/s | 5.787037e-7 ft3/ms |
| 10 in3/s | 0.000005787 ft3/ms |
| 60 in3/s | 0.0000347222 ft3/ms |
| 100 in3/s | 0.0000578704 ft3/ms |
| 1,000 in3/s | 0.0005787037 ft3/ms |
Reverse conversion: Cubic foot per Millisecond to Cubic inch per Seconds
5.787037e-7 ft3/ms × 1728000 = 0.9999999936 in3/s
5.787037e-7 cubic feet per millisecond = 0.9999999936 cubic inch per seconds.
cubic inch per seconds = cubic feet per millisecond × 1728000
For a page dedicated to this direction, see Cubic foot per Millisecond to Cubic inch per Seconds.
Understanding the Cubic inch per Seconds (in3/s)
Volumetric flow rate.
Understanding the Cubic foot per Millisecond (ft3/ms)
Volumetric flow rate.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many cubic feet per millisecond are in 1 cubic inch per seconds?
1 cubic inch per seconds equals 5.787037e-7 cubic feet per millisecond, using the exact defined conversion factor rather than an estimate.
How do I convert cubic inch per seconds to cubic foot per millisecond?
Multiply the cubic inch per seconds value by 5.787037e-7. The converter above does this instantly to whatever precision you set.
How do I convert cubic foot per millisecond back to cubic inch per seconds?
Use the reverse factor: 1 cubic foot per millisecond equals 1,728,000 cubic inch per seconds. You can also use the swap control in the converter above to flip the direction instantly.
What is a cubic inch per seconds?
Cubic inch per Seconds (in3/s) is a unit of flow rate.
What is a cubic foot per millisecond?
Cubic foot per Millisecond (ft3/ms) is a unit of flow rate.
Is the cubic inch per seconds to cubic foot per millisecond conversion exact?
Yes. Both cubic inch per seconds and cubic foot per millisecond are defined by fixed standards rather than physical artifacts, so the factor of 5.787037e-7 used above is exact to as many digits as you choose to display.
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.