Volumetric flow rate.
Cup per Days to Cubic inches per Millisecond Converter — cup/d to in3/ms
Convert Cup per Days (cup/d) to Cubic inch per Millisecond (in3/ms) using the exact conversion factor (1 cup per days = 1.671007e-7 cubic inch per millisecond). See the formula, worked examples, and conversion table.
Cup per Days 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 2.73828977e-9 / 0.016387064.
Flow rate uses cubic meters per second as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Cup per Days to Cubic inches per Millisecond
Cup per Days 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. Both are volumetric flow rate units.
Formula
cubic inches per millisecond = cup per days × 1.671007e-7
This factor comes from each unit's defined relationship to the category's base unit: 1 cup per days equals 2.73829e-9 base units, and 1 cubic inch per millisecond equals 0.016387064 base units, so dividing one by the other gives the direct cup per days-to-cubic inch per millisecond factor of 1.671007e-7.
Simple example
1 cup/d × 1.671007e-7 = 1.671007e-7 in3/ms
1 cup per days = 1.671007e-7 cubic inches per millisecond.
Real-world example
60 cup/d × 1.671007e-7 = 0.000010026 in3/ms
60 cup per days = 0.000010026 cubic inches per millisecond.
Conversion table
| Cup per Days (cup/d) | Cubic inch per Millisecond (in3/ms) |
|---|---|
| 0.1 cup/d | 1.671007e-8 in3/ms |
| 1 cup/d | 1.671007e-7 in3/ms |
| 10 cup/d | 0.000001671 in3/ms |
| 60 cup/d | 0.000010026 in3/ms |
| 100 cup/d | 0.0000167101 in3/ms |
| 1,000 cup/d | 0.0001671007 in3/ms |
Reverse conversion: Cubic inch per Millisecond to Cup per Days
1.671007e-7 in3/ms × 5984415.584 = 1.000000033 cup/d
1.671007e-7 cubic inches per millisecond = 1.000000033 cup per days.
cup per days = cubic inches per millisecond × 5984415.58442
For a page dedicated to this direction, see Cubic inch per Millisecond to Cup per Days.
Understanding the Cup per Days (cup/d)
Volumetric flow rate.
Understanding the Cubic inch per Millisecond (in3/ms)
Volumetric flow rate.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many cubic inches per millisecond are in 1 cup per days?
1 cup per days equals 1.671007e-7 cubic inches per millisecond, using the exact defined conversion factor rather than an estimate.
How do I convert cup per days to cubic inch per millisecond?
Multiply the cup per days value by 1.671007e-7. The converter above does this instantly to whatever precision you set.
How do I convert cubic inch per millisecond back to cup per days?
Use the reverse factor: 1 cubic inch per millisecond equals 5,984,415.584 cup per days. You can also use the swap control in the converter above to flip the direction instantly.
What is a cup per days?
Cup per Days (cup/d) is a unit of flow rate.
What is a cubic inch per millisecond?
Cubic inch per Millisecond (in3/ms) is a unit of flow rate.
Is the cup per days to cubic inch per millisecond conversion exact?
Yes. Both cup per days and cubic inch per millisecond are defined by fixed standards rather than physical artifacts, so the factor of 1.671007e-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.