Mass per volume density.
Micrograms per Cup to Grains per Teaspoon Converter — ug/cup to gr/tsp
Convert Microgram per Cup (ug/cup) to Grain per Teaspoon (gr/tsp) using the exact conversion factor (1 microgram per cup = 3.215075e-7 grain per teaspoon). See the formula, worked examples, and conversion table.
Micrograms 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 4.22675284e-6 / 13.14667088.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Micrograms per Cup to Grains per Teaspoon
Microgram 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 = micrograms per cup × 3.215075e-7
This factor comes from each unit's defined relationship to the category's base unit: 1 microgram per cup equals 0.00000422675283773 base units, and 1 grain per teaspoon equals 13.1466708828 base units, so dividing one by the other gives the direct microgram per cup-to-grain per teaspoon factor of 3.215075e-7.
Simple example
1 ug/cup × 3.215075e-7 = 3.215075e-7 gr/tsp
1 microgram per cup = 3.215075e-7 grains per teaspoon.
Real-world example
1,000 ug/cup × 3.215075e-7 = 0.0003215075 gr/tsp
1,000 micrograms per cup = 0.0003215075 grains per teaspoon.
Conversion table
| Microgram per Cup (ug/cup) | Grain per Teaspoon (gr/tsp) |
|---|---|
| 0.1 ug/cup | 3.215075e-8 gr/tsp |
| 1 ug/cup | 3.215075e-7 gr/tsp |
| 10 ug/cup | 0.0000032151 gr/tsp |
| 100 ug/cup | 0.0000321507 gr/tsp |
| 1,000 ug/cup | 0.0003215075 gr/tsp |
| 10,000 ug/cup | 0.0032150747 gr/tsp |
Reverse conversion: Grain per Teaspoon to Microgram per Cup
3.215075e-7 gr/tsp × 3110347.68 = 1.000000107 ug/cup
3.215075e-7 grains per teaspoon = 1.000000107 micrograms per cup.
micrograms per cup = grains per teaspoon × 3110347.68
For a page dedicated to this direction, see Grain per Teaspoon to Microgram per Cup.
Understanding the Microgram per Cup (ug/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 microgram per cup?
1 microgram per cup equals 3.215075e-7 grains per teaspoon, using the exact defined conversion factor rather than an estimate.
How do I convert microgram per cup to grain per teaspoon?
Multiply the microgram per cup value by 3.215075e-7. The converter above does this instantly to whatever precision you set.
How do I convert grain per teaspoon back to microgram per cup?
Use the reverse factor: 1 grain per teaspoon equals 3,110,347.68 micrograms per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a microgram per cup?
Microgram per Cup (ug/cup) is a unit of density.
What is a grain per teaspoon?
Grain per Teaspoon (gr/tsp) is a unit of density.
Is the microgram per cup to grain per teaspoon conversion exact?
Yes. Both microgram per cup and grain per teaspoon are defined by fixed standards rather than physical artifacts, so the factor of 3.215075e-7 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.