Mass per volume density.
Pounds per Cup to Grains per Teaspoon Converter — lb/cup to gr/tsp
Convert Pound per Cup (lb/cup) to Grain per Teaspoon (gr/tsp) using the exact conversion factor (1 pound per cup = 145.8333333 grain per teaspoon). See the formula, worked examples, and conversion table.
Pounds 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 1917.222837 / 13.14667088.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Pounds per Cup to Grains per Teaspoon
Pound 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 = pounds per cup × 145.833333333
This factor comes from each unit's defined relationship to the category's base unit: 1 pound per cup equals 1917.22283707 base units, and 1 grain per teaspoon equals 13.1466708828 base units, so dividing one by the other gives the direct pound per cup-to-grain per teaspoon factor of 145.833333333.
Simple example
1 lb/cup × 145.8333333 = 145.8333333 gr/tsp
1 pound per cup = 145.8333333 grains per teaspoon.
Real-world example
1,000 lb/cup × 145.8333333 = 145,833.3333 gr/tsp
1,000 pounds per cup = 145,833.3333 grains per teaspoon.
Conversion table
| Pound per Cup (lb/cup) | Grain per Teaspoon (gr/tsp) |
|---|---|
| 0.1 lb/cup | 14.58333333 gr/tsp |
| 1 lb/cup | 145.8333333 gr/tsp |
| 10 lb/cup | 1,458.333333 gr/tsp |
| 100 lb/cup | 14,583.33333 gr/tsp |
| 1,000 lb/cup | 145,833.3333 gr/tsp |
| 10,000 lb/cup | 1,458,333.333 gr/tsp |
Reverse conversion: Grain per Teaspoon to Pound per Cup
145.8333333 gr/tsp × 0.006857142857 = 0.9999999998 lb/cup
145.8333333 grains per teaspoon = 0.9999999998 pounds per cup.
pounds per cup = grains per teaspoon × 0.00685714285714
For a page dedicated to this direction, see Grain per Teaspoon to Pound per Cup.
Understanding the Pound per Cup (lb/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 pound per cup?
1 pound per cup equals 145.8333333 grains per teaspoon, using the exact defined conversion factor rather than an estimate.
How do I convert pound per cup to grain per teaspoon?
Multiply the pound per cup value by 145.8333333. The converter above does this instantly to whatever precision you set.
How do I convert grain per teaspoon back to pound per cup?
Use the reverse factor: 1 grain per teaspoon equals 0.0068571429 pounds per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a pound per cup?
Pound per Cup (lb/cup) is a unit of density.
What is a grain per teaspoon?
Grain per Teaspoon (gr/tsp) is a unit of density.
Is the pound per cup to grain per teaspoon conversion exact?
Yes. Both pound per cup and grain per teaspoon are defined by fixed standards rather than physical artifacts, so the factor of 145.8333333 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.