Relative Density

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

densityRelative density, abbreviated as RD or \(D_r\), a dimensionless number, is the density or ratio of any substance relative to another substance.  It sometimes may be called just gravity or specific gravity.  Traditionally, specific gravity is used to compare the density of a substance relative to air (SG=1) or water (also SG=1).

 

relative density calculator

 

relative density formulas

\(\large{ D_r = \frac{\rho_s}{\rho_r} }\)   
\(\large{ D_r = \frac{ e_{max} \;-\; e }{ e_{max} \;-\; e_{min} } }\) (soil)

Where:

\(\large{ D_r }\) = relative density

\(\large{ \rho_r }\)   (Greek symbol rho) = reference density

\(\large{ \rho_s }\)   (Greek symbol rho) = substance density

\(\large{ e }\) = void ratio

\(\large{ e_{max} }\) = void ratio of the soil at its loosest condition

\(\large{ e_{min} }\) = void ratio of the soil at its densest condition

 

Tags: Equations for Gravity Equations for Density Equations for Soil Calculators