Mass per volume density.
Drams per Cup to Grains per Teaspoon Converter — dr/cup to gr/tsp
Convert Dram per Cup (dr/cup) to Grain per Teaspoon (gr/tsp) using the exact conversion factor (1 dram per cup = 0.5696614583 grain per teaspoon). See the formula, worked examples, and conversion table.
Drams per Cup to Grains per Teaspoon 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 7.489151707 / 13.14667088.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Drams per Cup to Grains per Teaspoon
Dram per Cup and Grain per Teaspoon 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 teaspoon = drams per cup × 0.569661458333
This factor comes from each unit's defined relationship to the category's base unit: 1 dram per cup equals 7.48915170731 base units, and 1 grain per teaspoon equals 13.1466708828 base units, so dividing one by the other gives the direct dram per cup-to-grain per teaspoon factor of 0.569661458333.
Simple example
1 dr/cup × 0.5696614583 = 0.5696614583 gr/tsp
1 dram per cup = 0.5696614583 grains per teaspoon.
Real-world example
1,000 dr/cup × 0.5696614583 = 569.6614583 gr/tsp
1,000 drams per cup = 569.6614583 grains per teaspoon.
Conversion table
| Dram per Cup (dr/cup) | Grain per Teaspoon (gr/tsp) |
|---|---|
| 0.1 dr/cup | 0.0569661458 gr/tsp |
| 1 dr/cup | 0.5696614583 gr/tsp |
| 10 dr/cup | 5.696614583 gr/tsp |
| 100 dr/cup | 56.96614583 gr/tsp |
| 1,000 dr/cup | 569.6614583 gr/tsp |
| 10,000 dr/cup | 5,696.614583 gr/tsp |
Reverse conversion: Grain per Teaspoon to Dram per Cup
0.5696614583 gr/tsp × 1.755428571 = 0.9999999999 dr/cup
0.5696614583 grains per teaspoon = 0.9999999999 drams per cup.
drams per cup = grains per teaspoon × 1.75542857143
For a page dedicated to this direction, see Grain per Teaspoon to Dram per Cup.
Understanding the Dram per Cup (dr/cup)
Mass per volume density.
Understanding the Grain per Teaspoon (gr/tsp)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per teaspoon are in 1 dram per cup?
1 dram per cup equals 0.5696614583 grains per teaspoon, using the exact defined conversion factor rather than an estimate.
How do I convert dram per cup to grain per teaspoon?
Multiply the dram per cup value by 0.5696614583. The converter above does this instantly to whatever precision you set.
How do I convert grain per teaspoon back to dram per cup?
Use the reverse factor: 1 grain per teaspoon equals 1.755428571 drams per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a dram per cup?
Dram per Cup (dr/cup) is a unit of density.
What is a grain per teaspoon?
Grain per Teaspoon (gr/tsp) is a unit of density.
Is the dram per cup to grain per teaspoon conversion exact?
Yes. Both dram per cup and grain per teaspoon are defined by fixed standards rather than physical artifacts, so the factor of 0.5696614583 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.