Mass per volume density.
Grains per Teaspoon to Pounds per Cup Converter — gr/tsp to lb/cup
Convert Grain per Teaspoon (gr/tsp) to Pound per Cup (lb/cup) using the exact conversion factor (1 grain per teaspoon = 0.0068571429 pound per cup). See the formula, worked examples, and conversion table.
Grains per Teaspoon to Pounds 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 13.14667088 / 1917.222837.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Teaspoon to Pounds per Cup
Grain per Teaspoon and Pound 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
pounds per cup = grains per teaspoon × 0.00685714285714
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per teaspoon equals 13.1466708828 base units, and 1 pound per cup equals 1917.22283707 base units, so dividing one by the other gives the direct grain per teaspoon-to-pound per cup factor of 0.00685714285714.
Simple example
1 gr/tsp × 0.006857142857 = 0.0068571429 lb/cup
1 grain per teaspoon = 0.0068571429 pounds per cup.
Real-world example
1,000 gr/tsp × 0.006857142857 = 6.857142857 lb/cup
1,000 grains per teaspoon = 6.857142857 pounds per cup.
Conversion table
| Grain per Teaspoon (gr/tsp) | Pound per Cup (lb/cup) |
|---|---|
| 0.1 gr/tsp | 0.0006857143 lb/cup |
| 1 gr/tsp | 0.0068571429 lb/cup |
| 10 gr/tsp | 0.0685714286 lb/cup |
| 100 gr/tsp | 0.6857142857 lb/cup |
| 1,000 gr/tsp | 6.857142857 lb/cup |
| 10,000 gr/tsp | 68.57142857 lb/cup |
Reverse conversion: Pound per Cup to Grain per Teaspoon
0.0068571429 lb/cup × 145.8333333 = 1.000000006 gr/tsp
0.0068571429 pounds per cup = 1.000000006 grains per teaspoon.
grains per teaspoon = pounds per cup × 145.833333333
For a page dedicated to this direction, see Pound per Cup to Grain per Teaspoon.
Understanding the Grain per Teaspoon (gr/tsp)
Mass per volume density.
Understanding the Pound per Cup (lb/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many pounds per cup are in 1 grain per teaspoon?
1 grain per teaspoon equals 0.0068571429 pounds per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per teaspoon to pound per cup?
Multiply the grain per teaspoon value by 0.006857142857. The converter above does this instantly to whatever precision you set.
How do I convert pound per cup back to grain per teaspoon?
Use the reverse factor: 1 pound per cup equals 145.8333333 grains per teaspoon. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per teaspoon?
Grain per Teaspoon (gr/tsp) is a unit of density.
What is a pound per cup?
Pound per Cup (lb/cup) is a unit of density.
Is the grain per teaspoon to pound per cup conversion exact?
Yes. Both grain per teaspoon and pound per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.006857142857 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.