Linear Thermal Expansion

Written by Jerry Ratzlaff on . Posted in Thermodynamics

Linear Thermal Expansionexpansion linear 1

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

 

Tags: Equations for Thermal