Mass per volume density.
Slugs per Gallon to Grains per Cup Converter — slug/gal to gr/cup
Convert Slug per Gallon (slug/gal) to Grain per Cup (gr/cup) using the exact conversion factor (1 slug per gallon = 14,076.14624 grain per cup). See the formula, worked examples, and conversion table.
Slugs per Gallon to Grains per Cup converter
Converter
Density Converter
Convert thousands of mass-per-volume density combinations for science, engineering, agriculture, and fluids.
Context values
Some unit families need one extra value for a physically accurate result.
Mass per volume density.
Result = input x 3855.301291 / 0.2738889767.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Slugs per Gallon to Grains per Cup
Slug per Gallon and Grain per Cup both measure density — mass per unit volume — a property used to identify materials, check manufacturing quality, and predict whether something floats or sinks. As a fixed reference point, water has a density of exactly 1000 kg/m³ (1 g/cm³, 1 g/mL) at its temperature of maximum density, which is why many density figures in science and engineering are quoted relative to water. Both are mass per volume density units.
Formula
grains per cup = slugs per gallon × 14076.1462434
This factor comes from each unit's defined relationship to the category's base unit: 1 slug per gallon equals 3855.30129084 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct slug per gallon-to-grain per cup factor of 14076.1462434.
Simple example
1 slug/gal × 14076.14624 = 14,076.14624 gr/cup
1 slug per gallon = 14,076.14624 grains per cup.
Real-world example
1,000 slug/gal × 14076.14624 = 14,076,146.24 gr/cup
1,000 slugs per gallon = 14,076,146.24 grains per cup.
Conversion table
| Slug per Gallon (slug/gal) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 slug/gal | 1,407.614624 gr/cup |
| 1 slug/gal | 14,076.14624 gr/cup |
| 10 slug/gal | 140,761.4624 gr/cup |
| 100 slug/gal | 1,407,614.624 gr/cup |
| 1,000 slug/gal | 14,076,146.24 gr/cup |
| 10,000 slug/gal | 140,761,462.4 gr/cup |
Reverse conversion: Grain per Cup to Slug per Gallon
1 gr/cup × 0.00007104217182 = 0.0000710422 slug/gal
1 grain per cup = 0.0000710422 slugs per gallon.
slugs per gallon = grains per cup × 0.0000710421718208
For a page dedicated to this direction, see Grain per Cup to Slug per Gallon.
Understanding the Slug per Gallon (slug/gal)
Mass per volume density.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cup are in 1 slug per gallon?
1 slug per gallon equals 14,076.14624 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert slug per gallon to grain per cup?
Multiply the slug per gallon value by 14076.14624. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to slug per gallon?
Use the reverse factor: 1 grain per cup equals 0.0000710422 slugs per gallon. You can also use the swap control in the converter above to flip the direction instantly.
What is a slug per gallon?
Slug per Gallon (slug/gal) is a unit of density.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
Is the slug per gallon to grain per cup conversion exact?
Yes. Both slug per gallon and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 14076.14624 used above is exact to as many digits as you choose to display.
What's the difference between density and mass concentration?
Density is the mass of a pure substance or material per unit volume. Mass concentration is the mass of one component — like a dissolved solute — within a mixture's total volume. The two use the same kind of units but describe different physical situations.