Volumetric flow rate.
Imperial gallon per Weeks to Cups per Millisecond Converter — imp gal/wk to cup/ms
Convert Imperial gallon per Weeks (imp gal/wk) to Cup per Millisecond (cup/ms) using the exact conversion factor (1 imperial gallon per weeks = 3.177116e-8 cup per millisecond). See the formula, worked examples, and conversion table.
Imperial gallon per Weeks 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 7.5166832e-9 / 0.2365882365.
Flow rate uses cubic meters per second as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Imperial gallon per Weeks to Cups per Millisecond
Imperial gallon per Weeks 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 = imperial gallon per weeks × 3.177116e-8
This factor comes from each unit's defined relationship to the category's base unit: 1 imperial gallon per weeks equals 7.516683e-9 base units, and 1 cup per millisecond equals 0.2365882365 base units, so dividing one by the other gives the direct imperial gallon per weeks-to-cup per millisecond factor of 3.177116e-8.
Simple example
1 imp gal/wk × 3.177116e-8 = 3.177116e-8 cup/ms
1 imperial gallon per weeks = 3.177116e-8 cups per millisecond.
Real-world example
60 imp gal/wk × 3.177116e-8 = 0.0000019063 cup/ms
60 imperial gallon per weeks = 0.0000019063 cups per millisecond.
Conversion table
| Imperial gallon per Weeks (imp gal/wk) | Cup per Millisecond (cup/ms) |
|---|---|
| 0.1 imp gal/wk | 3.177116e-9 cup/ms |
| 1 imp gal/wk | 3.177116e-8 cup/ms |
| 10 imp gal/wk | 3.177116e-7 cup/ms |
| 60 imp gal/wk | 0.0000019063 cup/ms |
| 100 imp gal/wk | 0.0000031771 cup/ms |
| 1,000 imp gal/wk | 0.0000317712 cup/ms |
Reverse conversion: Cup per Millisecond to Imperial gallon per Weeks
3.177116e-8 cup/ms × 31475084.18 = 0.9999999355 imp gal/wk
3.177116e-8 cups per millisecond = 0.9999999355 imperial gallon per weeks.
imperial gallon per weeks = cups per millisecond × 31475084.179
For a page dedicated to this direction, see Cup per Millisecond to Imperial gallon per Weeks.
Understanding the Imperial gallon per Weeks (imp gal/wk)
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 imperial gallon per weeks?
1 imperial gallon per weeks equals 3.177116e-8 cups per millisecond, using the exact defined conversion factor rather than an estimate.
How do I convert imperial gallon per weeks to cup per millisecond?
Multiply the imperial gallon per weeks value by 3.177116e-8. The converter above does this instantly to whatever precision you set.
How do I convert cup per millisecond back to imperial gallon per weeks?
Use the reverse factor: 1 cup per millisecond equals 31,475,084.18 imperial gallon per weeks. You can also use the swap control in the converter above to flip the direction instantly.
What is a imperial gallon per weeks?
Imperial gallon per Weeks (imp gal/wk) 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 imperial gallon per weeks to cup per millisecond conversion exact?
Yes. Both imperial gallon per weeks and cup per millisecond are defined by fixed standards rather than physical artifacts, so the factor of 3.177116e-8 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.