Mass per volume density.
Grains per Tablespoon to Ounces per Cup Converter — gr/tbsp to oz/cup
Convert Grain per Tablespoon (gr/tbsp) to Ounce per Cup (oz/cup) using the exact conversion factor (1 grain per tablespoon = 0.0365714286 ounce per cup). See the formula, worked examples, and conversion table.
Grains per Tablespoon to Ounces per Cup converter
Converter
Density Converter
Convert thousands of mass-per-volume density combinations for science, engineering, agriculture, and fluids.
Mass per volume density.
Result = input x 4.382223628 / 119.8264273.
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 Ounces per Cup
Grain per Tablespoon and Ounce 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
ounces per cup = grains per tablespoon × 0.0365714285714
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 ounce per cup equals 119.826427317 base units, so dividing one by the other gives the direct grain per tablespoon-to-ounce per cup factor of 0.0365714285714.
Simple example
1 gr/tbsp × 0.03657142857 = 0.0365714286 oz/cup
1 grain per tablespoon = 0.0365714286 ounces per cup.
Real-world example
1,000 gr/tbsp × 0.03657142857 = 36.57142857 oz/cup
1,000 grains per tablespoon = 36.57142857 ounces per cup.
Conversion table
| Grain per Tablespoon (gr/tbsp) | Ounce per Cup (oz/cup) |
|---|---|
| 0.1 gr/tbsp | 0.0036571429 oz/cup |
| 1 gr/tbsp | 0.0365714286 oz/cup |
| 10 gr/tbsp | 0.3657142857 oz/cup |
| 100 gr/tbsp | 3.657142857 oz/cup |
| 1,000 gr/tbsp | 36.57142857 oz/cup |
| 10,000 gr/tbsp | 365.7142857 oz/cup |
Reverse conversion: Ounce per Cup to Grain per Tablespoon
0.0365714286 oz/cup × 27.34375 = 1.000000001 gr/tbsp
0.0365714286 ounces per cup = 1.000000001 grains per tablespoon.
grains per tablespoon = ounces per cup × 27.34375
For a page dedicated to this direction, see Ounce per Cup to Grain per Tablespoon.
Understanding the Grain per Tablespoon (gr/tbsp)
Mass per volume density.
Understanding the Ounce per Cup (oz/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many ounces per cup are in 1 grain per tablespoon?
1 grain per tablespoon equals 0.0365714286 ounces per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per tablespoon to ounce per cup?
Multiply the grain per tablespoon value by 0.03657142857. The converter above does this instantly to whatever precision you set.
How do I convert ounce per cup back to grain per tablespoon?
Use the reverse factor: 1 ounce per cup equals 27.34375 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 ounce per cup?
Ounce per Cup (oz/cup) is a unit of density.
Is the grain per tablespoon to ounce per cup conversion exact?
Yes. Both grain per tablespoon and ounce per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.03657142857 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.