# Linear Thermal Expansion

Written by Jerry Ratzlaff on . Posted in Thermodynamics

## Linear Thermal Expansion

Linear thermal expansion (also known as line thermal expansion) is a porportional change in the origional length and change in temperature due to the heating or cooling of an object.

### Linear Thermal Expansion Formulas

$$\large{ \Delta l = l_f \;-\; l_i }$$

$$\large{ \Delta l = \alpha \Delta T l }$$

$$\large{ l_f = l_i \left( 1 + \alpha \Delta T \right) }$$

$$\large{ \frac { \Delta l } { l_i } = \alpha \Delta T }$$

Where:

$$\large{ \alpha }$$   (Greek symbol alpha) = linear thermal expansion coefficient

$$\large{ l_f }$$ = final length

$$\large{ l_i }$$ = initial length

$$\large{ \Delta l }$$ = length differential

$$\large{ T }$$ = temperature

$$\large{ \Delta T }$$ = temperature differential