DIFFERENTIAL VOLUME EXPANSION MODEL
EQUIPMENT
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.