Mass per volume density.
Grains per Imperial gallon to Long tons per Cup Converter — gr/imp gal to long ton/cup
Convert Grain per Imperial gallon (gr/imp gal) to Long ton per Cup (long ton/cup) using the exact conversion factor (1 grain per imperial gallon = 3.319014e-9 long ton per cup). See the formula, worked examples, and conversion table.
Grains per Imperial gallon to Long tons 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 0.01425376752 / 4.29457916e+6.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Imperial gallon to Long tons per Cup
Grain per Imperial gallon and Long ton 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
long tons per cup = grains per imperial gallon × 3.319014e-9
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per imperial gallon equals 0.0142537675233 base units, and 1 long ton per cup equals 4294579.15504 base units, so dividing one by the other gives the direct grain per imperial gallon-to-long ton per cup factor of 3.319014e-9.
Simple example
1 gr/imp gal × 3.319014e-9 = 3.319014e-9 long ton/cup
1 grain per imperial gallon = 3.319014e-9 long tons per cup.
Real-world example
1,000 gr/imp gal × 3.319014e-9 = 0.000003319 long ton/cup
1,000 grains per imperial gallon = 0.000003319 long tons per cup.
Conversion table
| Grain per Imperial gallon (gr/imp gal) | Long ton per Cup (long ton/cup) |
|---|---|
| 0.1 gr/imp gal | 3.319014e-10 long ton/cup |
| 1 gr/imp gal | 3.319014e-9 long ton/cup |
| 10 gr/imp gal | 3.319014e-8 long ton/cup |
| 100 gr/imp gal | 3.319014e-7 long ton/cup |
| 1,000 gr/imp gal | 0.000003319 long ton/cup |
| 10,000 gr/imp gal | 0.0000331901 long ton/cup |
Reverse conversion: Long ton per Cup to Grain per Imperial gallon
3.319014e-9 long ton/cup × 301294317.3 = 1.000000057 gr/imp gal
3.319014e-9 long tons per cup = 1.000000057 grains per imperial gallon.
grains per imperial gallon = long tons per cup × 301294317.311
For a page dedicated to this direction, see Long ton per Cup to Grain per Imperial gallon.
Understanding the Grain per Imperial gallon (gr/imp gal)
Mass per volume density.
Understanding the Long ton per Cup (long ton/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many long tons per cup are in 1 grain per imperial gallon?
1 grain per imperial gallon equals 3.319014e-9 long tons per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per imperial gallon to long ton per cup?
Multiply the grain per imperial gallon value by 3.319014e-9. The converter above does this instantly to whatever precision you set.
How do I convert long ton per cup back to grain per imperial gallon?
Use the reverse factor: 1 long ton per cup equals 301,294,317.3 grains per imperial gallon. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per imperial gallon?
Grain per Imperial gallon (gr/imp gal) is a unit of density.
What is a long ton per cup?
Long ton per Cup (long ton/cup) is a unit of density.
Is the grain per imperial gallon to long ton per cup conversion exact?
Yes. Both grain per imperial gallon and long ton per cup are defined by fixed standards rather than physical artifacts, so the factor of 3.319014e-9 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.