The Specific Gravity Formula
Specific gravity (also called relative density) expresses how much denser or lighter a substance is compared to pure water at its densest state. The calculation is straightforward: divide the material's density by water's reference density.
SG = ρ_material ÷ ρ_water
where ρ_water = 1000 kg/m³ (or 62.43 lb/ft³)
SG— Specific gravity (dimensionless ratio)ρ_material— Density of the substance being testedρ_water— Density of freshwater at 4°C; always 1000 kg/m³
Understanding Specific Gravity vs. Density
Density measures mass per unit volume and depends on units (g/cm³, kg/m³, lb/ft³). Specific gravity is a ratio without units, making it universal and easy to compare across measurement systems.
For example, ice has a density of 916.7 kg/m³. Its specific gravity is 916.7 ÷ 1000 = 0.9167. This single number immediately tells you that ice floats because it's less dense than water.
The key advantage: specific gravity gives instant buoyancy insight. Anything with SG > 1 sinks; anything with SG < 1 floats. Density alone doesn't convey this information without knowing water's properties.
How to Use This Calculator
The process requires just one input:
- Enter the density of your material (in kg/m³, g/cm³, or lb/ft³—the calculator handles conversions).
- Read the specific gravity result in the second field.
- Check the buoyancy indicator showing whether the substance floats, sinks, or remains neutrally buoyant in freshwater.
Optional: search our built-in reference table for common materials like mercury (13.6), lead (11.3), aluminum (2.7), or wood (0.4–0.9). Select a substance to autofill its density.
Practical Considerations When Using Specific Gravity
These nuances prevent misinterpretation of results:
- Temperature sensitivity — Specific gravity assumes water at 4°C (1000 kg/m³). Warmer water is slightly less dense—at 20°C it's 998 kg/m³. For precision work (brewing, gemstone identification), measure at or adjust for the actual temperature of your reference liquid.
- Salinity changes the reference — Seawater (density ≈1025 kg/m³) is denser than freshwater. Materials that sink in freshwater may float in saltwater. Always confirm which reference liquid applies to your use case before drawing conclusions about buoyancy.
- Material purity and structure — Air pockets, porosity, and impurities shift apparent density. A solid block of wood sinks differently than a hollow wooden boat, even though both are made of the same material. Measure the actual sample's volume and mass, not theoretical values.
- Pressure and phase changes — Deep submersion increases pressure, compressing gases and liquids. Dissolved air in water also affects buoyancy. For underwater or industrial applications, account for these secondary factors beyond the basic SG ratio.
Real-World Applications
Brewing and fermentation: Brewers track specific gravity during fermentation to monitor yeast activity and alcohol content. A drop from 1.050 to 1.010 over days signals sugar-to-alcohol conversion.
Geology and mining: Ore identification relies on specific gravity. Gold (19.3) versus fool's gold/pyrite (5.0) are easily distinguished by this property, making it a quick field test.
Shipping and naval design: Hull engineers calculate ballast and cargo load limits using specific gravity to predict whether vessels list, trim, or achieve stable buoyancy.
Gemology: Rubies (3.97) versus red glass (2.5) are differentiated by specific gravity, a non-destructive test that guides valuation and authenticity assessment.