Specific Volume

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Specific volume, abbreviated as \(\upsilon\) (Greek symbol upsilon), is the volume in a unit of mass.  Specific volume is a intensive variable whose physical quantity value does not depend on the amount of the substance for which it is measured.  Specific volume is the reciprocal of density, a substance with a higher density will have a lower specific volume.

 

Specific volume formula

\(\large{  \upsilon = \frac{V}{m}   }\)    
\(\large{  \upsilon = \frac{1}{\rho}   }\)   
\(\large{  \upsilon = 1 \;+\; e   }\) (soil)

Where:

 Units English Metric
\(\large{ \upsilon }\)  (Greek symbol upsilon) = specific volume \(\large{\frac{ft^3}{lbm}}\) \(\large{\frac{m^3}{kg}}\)
\(\large{ \rho }\)  (Greek symbol rho) = density \(\large{\frac{lbm}{ft^3}}\) \(\large{\frac{kg}{m^3}}\)
\(\large{ m }\) = mass \(\large{lbm}\) \(\large{kg}\)
\(\large{ e } \) = void ratio \(\large{dimensionless}\)  
\(\large{ V }\) = volume \(\large{ft^3}\) \(\large{m^3}\)

 

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Tags: Volume Equations Soil Equations