CCalclabhub

Physics

Area expansion

Roughly twice the linear fraction, plus a small squared term.

The Formula

dA / A = (1 + alpha x dT)^2 - 1

Roughly twice the linear fraction, plus a small squared term.

SymbolMeaning
AOriginal area
dAChange in area

What Each Symbol Means

Asquare metres

Original area

The surface area before heating.

dAsquare metres

Change in area

How much the area grows.

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.