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Physics

Final length

The new length once the temperature has settled.

The Formula

L_final = L x (1 + alpha x dT)

The new length once the temperature has settled.

SymbolMeaning
LfFinal length
LOriginal length

What Each Symbol Means

Lfmetres

Final length

The length after the change.

Lmetres

Original length

The length before the change.

See It Worked With Real Numbers

A formula on its own does not tell you which number goes where. The how to calculate thermal expansion page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.

Where This Formula Appears

This equation is the working core of How To Calculate Thermal Expansion, filed under Science. Every number the guide produces comes from substituting into this one line.