# Final Length

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

## Final Length formula

$$\large{ l_f = \overrightarrow{\alpha_l} \; l_i \; \left( T_f \;- \; T_i \right) + l_i }$$      (linear thermal expansion coefficient)
Symbol English Metric
$$\large{ l_f }$$ = final length $$\large{ft}$$ $$\large{m}$$
$$\large{ l_i }$$ = initial length $$\large{ft}$$ $$\large{m}$$
$$\large{ \overrightarrow{\alpha_l} }$$   (Greek symbol alpha) = linear thermal expansion coefficient $$\large{ \frac{in}{in\;F} }$$ $$\large{ \frac{mm}{mm\;C} }$$
$$\large{ T_f }$$ = final temperature $$\large{F}$$ $$\large{C}$$
$$\large{ T_i }$$ = initial temperature $$\large{F}$$ $$\large{C}$$

Tags: Length Equations