Initial Length

on . Posted in Classical Mechanics

 

Initial Length Formulas

\( l_i =  l_f \;/\; \overrightarrow{\alpha_l}  \; \left( T_f -  T_i \right) + 1 \)     (Linear Thermal Expansion Coefficient)

\( l_i =  \Delta l \;/\; \epsilon \)     (Strain)

Symbol English Metric
\( l_i \) = initial length \(ft\) \(m\)
\( l_f \) = final length \(ft\) \(m\)
\( \Delta l \) = length differential \(ft\) \(m\)
\( \overrightarrow{\alpha_l} \)   (Greek symbol alpha) = linear thermal expansion coefficient \(1\;/\;F\) \(1\;/\;C\)
\( \epsilon \)  (Greek symbol epsilon) = strain \(in\;/\;in\) \(mm\;/\;mm\)
\( T_f \) = final temperature \(F\) \(C\)
\( T_i \) = initial temperature \(F\) \(C\)

 

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Tags: Length