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DIFFERENTIAL VOLUME EXPANSION MODEL








EQUIPMENT

    redball.gif (326 bytes) Wooden Expansion Model
  



NARRATIVE
            If a solid is considered to expand differentially the resultant volume is an approximation of the actual volume. For example, if a cube of original edge length L is heated, its edge will increase by DL. The new volume V is:

(L+DL)3 = L3 + 3L2DL + 3LDL2 + DL3

Since we assume a differential expansion to be small, DL3 º 0.  Therefore, our approximation ignores DL3 which is a cubical section of the corner of the original cube of volume L3.