Mass per volume density.
Grains per Tablespoon to Slugs per Cup Converter — gr/tbsp to slug/cup
Convert Grain per Tablespoon (gr/tbsp) to Slug per Cup (slug/cup) using the exact conversion factor (1 grain per tablespoon = 0.0000710422 slug per cup). See the formula, worked examples, and conversion table.
Grains per Tablespoon to Slugs 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 4.382223628 / 61684.82065.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Tablespoon to Slugs per Cup
Grain per Tablespoon and Slug 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
slugs per cup = grains per tablespoon × 0.0000710421718208
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per tablespoon equals 4.38222362759 base units, and 1 slug per cup equals 61684.8206534 base units, so dividing one by the other gives the direct grain per tablespoon-to-slug per cup factor of 0.0000710421718208.
Simple example
1 gr/tbsp × 0.00007104217182 = 0.0000710422 slug/cup
1 grain per tablespoon = 0.0000710422 slugs per cup.
Real-world example
1,000 gr/tbsp × 0.00007104217182 = 0.0710421718 slug/cup
1,000 grains per tablespoon = 0.0710421718 slugs per cup.
Conversion table
| Grain per Tablespoon (gr/tbsp) | Slug per Cup (slug/cup) |
|---|---|
| 0.1 gr/tbsp | 0.0000071042 slug/cup |
| 1 gr/tbsp | 0.0000710422 slug/cup |
| 10 gr/tbsp | 0.0007104217 slug/cup |
| 100 gr/tbsp | 0.0071042172 slug/cup |
| 1,000 gr/tbsp | 0.0710421718 slug/cup |
| 10,000 gr/tbsp | 0.7104217182 slug/cup |
Reverse conversion: Slug per Cup to Grain per Tablespoon
0.0000710422 slug/cup × 14076.14624 = 1.000000397 gr/tbsp
0.0000710422 slugs per cup = 1.000000397 grains per tablespoon.
grains per tablespoon = slugs per cup × 14076.1462434
For a page dedicated to this direction, see Slug per Cup to Grain per Tablespoon.
Understanding the Grain per Tablespoon (gr/tbsp)
Mass per volume density.
Understanding the Slug per Cup (slug/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many slugs per cup are in 1 grain per tablespoon?
1 grain per tablespoon equals 0.0000710422 slugs per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per tablespoon to slug per cup?
Multiply the grain per tablespoon value by 0.00007104217182. The converter above does this instantly to whatever precision you set.
How do I convert slug per cup back to grain per tablespoon?
Use the reverse factor: 1 slug per cup equals 14,076.14624 grains per tablespoon. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per tablespoon?
Grain per Tablespoon (gr/tbsp) is a unit of density.
What is a slug per cup?
Slug per Cup (slug/cup) is a unit of density.
Is the grain per tablespoon to slug per cup conversion exact?
Yes. Both grain per tablespoon and slug per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.00007104217182 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.