Mass per volume density.
Troy ounces per Fluid ounce to Grains per Cup Converter — oz t/fl oz to gr/cup
Convert Troy ounce per Fluid ounce (oz t/fl oz) to Grain per Cup (gr/cup) using the exact conversion factor (1 troy ounce per fluid ounce = 3,840 grain per cup). See the formula, worked examples, and conversion table.
Troy ounces per Fluid ounce 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 1051.733671 / 0.2738889767.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Troy ounces per Fluid ounce to Grains per Cup
Troy ounce per Fluid ounce 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 = troy ounces per fluid ounce × 3840
This factor comes from each unit's defined relationship to the category's base unit: 1 troy ounce per fluid ounce equals 1051.73367062 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct troy ounce per fluid ounce-to-grain per cup factor of 3840.
Simple example
1 oz t/fl oz × 3840 = 3,840 gr/cup
1 troy ounce per fluid ounce = 3,840 grains per cup.
Real-world example
1,000 oz t/fl oz × 3840 = 3,840,000 gr/cup
1,000 troy ounces per fluid ounce = 3,840,000 grains per cup.
Conversion table
| Troy ounce per Fluid ounce (oz t/fl oz) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 oz t/fl oz | 384 gr/cup |
| 1 oz t/fl oz | 3,840 gr/cup |
| 10 oz t/fl oz | 38,400 gr/cup |
| 100 oz t/fl oz | 384,000 gr/cup |
| 1,000 oz t/fl oz | 3,840,000 gr/cup |
| 10,000 oz t/fl oz | 38,400,000 gr/cup |
Reverse conversion: Grain per Cup to Troy ounce per Fluid ounce
1 gr/cup × 0.0002604166667 = 0.0002604167 oz t/fl oz
1 grain per cup = 0.0002604167 troy ounces per fluid ounce.
troy ounces per fluid ounce = grains per cup × 0.000260416666667
For a page dedicated to this direction, see Grain per Cup to Troy ounce per Fluid ounce.
Understanding the Troy ounce per Fluid ounce (oz t/fl oz)
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 troy ounce per fluid ounce?
1 troy ounce per fluid ounce equals 3,840 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert troy ounce per fluid ounce to grain per cup?
Multiply the troy ounce per fluid ounce value by 3840. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to troy ounce per fluid ounce?
Use the reverse factor: 1 grain per cup equals 0.0002604167 troy ounces per fluid ounce. You can also use the swap control in the converter above to flip the direction instantly.
What is a troy ounce per fluid ounce?
Troy ounce per Fluid ounce (oz t/fl oz) is a unit of density.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
Is the troy ounce per fluid ounce to grain per cup conversion exact?
Yes. Both troy ounce per fluid ounce and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 3840 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.