# Length Differential

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Length differential is the difference between an expanded or reduced length of an object.

## Length Differential formulas

 $$\large{ \Delta l = l_f \;- \; l_i }$$ $$\large{ \Delta l = l_{ur} \; \alpha \; \Delta T }$$ (unrestrained pipe length)

### Where:

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

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

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

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

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

$$\large{ l_{ur} }$$ = unrestrained pipe length