Volumetric flow rate.
Cubic inch per Days to Cups per Millisecond Converter — in3/d to cup/ms
Convert Cubic inch per Days (in3/d) to Cup per Millisecond (cup/ms) using the exact conversion factor (1 cubic inch per days = 8.016675e-10 cup per millisecond). See the formula, worked examples, and conversion table.
Cubic inch per Days to Cups 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 1.89665093e-10 / 0.2365882365.
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 Days to Cups per Millisecond
Cubic inch per Days and Cup 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
cups per millisecond = cubic inch per days × 8.016675e-10
This factor comes from each unit's defined relationship to the category's base unit: 1 cubic inch per days equals 1.896651e-10 base units, and 1 cup per millisecond equals 0.2365882365 base units, so dividing one by the other gives the direct cubic inch per days-to-cup per millisecond factor of 8.016675e-10.
Simple example
1 in3/d × 8.016675e-10 = 8.016675e-10 cup/ms
1 cubic inch per days = 8.016675e-10 cups per millisecond.
Real-world example
60 in3/d × 8.016675e-10 = 4.810005e-8 cup/ms
60 cubic inch per days = 4.810005e-8 cups per millisecond.
Conversion table
| Cubic inch per Days (in3/d) | Cup per Millisecond (cup/ms) |
|---|---|
| 0.1 in3/d | 8.016675e-11 cup/ms |
| 1 in3/d | 8.016675e-10 cup/ms |
| 10 in3/d | 8.016675e-9 cup/ms |
| 60 in3/d | 4.810005e-8 cup/ms |
| 100 in3/d | 8.016675e-8 cup/ms |
| 1,000 in3/d | 8.016675e-7 cup/ms |
Reverse conversion: Cup per Millisecond to Cubic inch per Days
8.016675e-10 cup/ms × 1247400000 = 1.000000039 in3/d
8.016675e-10 cups per millisecond = 1.000000039 cubic inch per days.
cubic inch per days = cups per millisecond × 1247400000
For a page dedicated to this direction, see Cup per Millisecond to Cubic inch per Days.
Understanding the Cubic inch per Days (in3/d)
Volumetric flow rate.
Understanding the Cup per Millisecond (cup/ms)
Volumetric flow rate.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many cups per millisecond are in 1 cubic inch per days?
1 cubic inch per days equals 8.016675e-10 cups per millisecond, using the exact defined conversion factor rather than an estimate.
How do I convert cubic inch per days to cup per millisecond?
Multiply the cubic inch per days value by 8.016675e-10. The converter above does this instantly to whatever precision you set.
How do I convert cup per millisecond back to cubic inch per days?
Use the reverse factor: 1 cup per millisecond equals 1,247,400,000 cubic inch per days. You can also use the swap control in the converter above to flip the direction instantly.
What is a cubic inch per days?
Cubic inch per Days (in3/d) is a unit of flow rate.
What is a cup per millisecond?
Cup per Millisecond (cup/ms) is a unit of flow rate.
Is the cubic inch per days to cup per millisecond conversion exact?
Yes. Both cubic inch per days and cup per millisecond are defined by fixed standards rather than physical artifacts, so the factor of 8.016675e-10 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.