Linear Thermal Expansion

Linear thermal expansion, abbreviated as \(\Delta l\), 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 Formula
\(\large{ \overrightarrow{\Delta l}  =   l_f  -  l_i  }\)
Symbol	English	Metric
\(\large{ \overrightarrow{\Delta l} }\) = linear thermal expansion	\(\large{ \frac{in}{in\;F} }\)	\(\large{ \frac{mm}{mm\;C} }\)
\(\large{ l_f }\) = final length	\(\large{ft}\)	\(\large{m}\)
\(\large{ l_i }\) = initial length	\(\large{ft}\)	\(\large{m}\)

 

Linear thermal expansion Formula
\(\large{ \overrightarrow{\Delta l}  =  \overrightarrow{\alpha_l}\; l_i \; \Delta T }\)
Symbol	English	Metric
\(\large{ \overrightarrow{\Delta l} }\) = linear thermal expansion	\(\large{ \frac{in}{in\;F} }\)	\(\large{ \frac{mm}{mm\;C} }\)
\(\large{ l_i }\) = initial length	\(\large{ft}\)	\(\large{m}\)
\(\large{ \overrightarrow{\alpha_l} }\)   (Greek symbol alpha) = linear thermal expansion coefficient	\(\large{ \frac{in}{in\;F} }\)	\(\large{ \frac{mm}{mm\;C} }\)
\(\large{ \Delta T }\) = temperature change	\(\large{F}\)	\(\large{C}\)