Volumetric flow rate.
Cubic inches per Millisecond to Cup per Minutes Converter — in3/ms to cup/min
Convert Cubic inch per Millisecond (in3/ms) to Cup per Minutes (cup/min) using the exact conversion factor (1 cubic inch per millisecond = 4,155.844156 cup per minutes). See the formula, worked examples, and conversion table.
Cubic inches per Millisecond to Cup per Minutes 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 0.016387064 / 3.94313728e-6.
Flow rate uses cubic meters per second as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Cubic inches per Millisecond to Cup per Minutes
Cubic inch per Millisecond and Cup per Minutes 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
cup per minutes = cubic inches per millisecond × 4155.84415584
This factor comes from each unit's defined relationship to the category's base unit: 1 cubic inch per millisecond equals 0.016387064 base units, and 1 cup per minutes equals 0.000003943137275 base units, so dividing one by the other gives the direct cubic inch per millisecond-to-cup per minutes factor of 4155.84415584.
Simple example
1 in3/ms × 4155.844156 = 4,155.844156 cup/min
1 cubic inch per millisecond = 4,155.844156 cup per minutes.
Real-world example
60 in3/ms × 4155.844156 = 249,350.6494 cup/min
60 cubic inches per millisecond = 249,350.6494 cup per minutes.
Conversion table
| Cubic inch per Millisecond (in3/ms) | Cup per Minutes (cup/min) |
|---|---|
| 0.1 in3/ms | 415.5844156 cup/min |
| 1 in3/ms | 4,155.844156 cup/min |
| 10 in3/ms | 41,558.44156 cup/min |
| 60 in3/ms | 249,350.6494 cup/min |
| 100 in3/ms | 415,584.4156 cup/min |
| 1,000 in3/ms | 4,155,844.156 cup/min |
Reverse conversion: Cup per Minutes to Cubic inch per Millisecond
1 cup/min × 0.000240625 = 0.000240625 in3/ms
1 cup per minutes = 0.000240625 cubic inches per millisecond.
cubic inches per millisecond = cup per minutes × 0.000240625
For a page dedicated to this direction, see Cup per Minutes to Cubic inch per Millisecond.
Understanding the Cubic inch per Millisecond (in3/ms)
Volumetric flow rate.
Understanding the Cup per Minutes (cup/min)
Volumetric flow rate.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many cup per minutes are in 1 cubic inch per millisecond?
1 cubic inch per millisecond equals 4,155.844156 cup per minutes, using the exact defined conversion factor rather than an estimate.
How do I convert cubic inch per millisecond to cup per minutes?
Multiply the cubic inch per millisecond value by 4155.844156. The converter above does this instantly to whatever precision you set.
How do I convert cup per minutes back to cubic inch per millisecond?
Use the reverse factor: 1 cup per minutes equals 0.000240625 cubic inches per millisecond. You can also use the swap control in the converter above to flip the direction instantly.
What is a cubic inch per millisecond?
Cubic inch per Millisecond (in3/ms) is a unit of flow rate.
What is a cup per minutes?
Cup per Minutes (cup/min) is a unit of flow rate.
Is the cubic inch per millisecond to cup per minutes conversion exact?
Yes. Both cubic inch per millisecond and cup per minutes are defined by fixed standards rather than physical artifacts, so the factor of 4155.844156 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.