Initial Length

on 31 March 2020. Posted in Classical Mechanics

Initial Length Formulas
\(\large{ l_i = \frac{ l_f }{ \overrightarrow{\alpha_l} \; \left( T_f \;- \; T_i \right) \;+\; 1 } }\) (Linear Thermal Expansion Coefficient) \(\large{ l_i = \frac{ \Delta l }{ \epsilon } }\) (Strain)
Symbol	English	Metric
\(\large{ l_i }\) = initial length	\(\large{ft}\)	\(\large{m}\)
\(\large{ l_f }\) = final length	\(\large{ft}\)	\(\large{m}\)
\(\large{ \Delta l }\) = length differential	\(\large{ft}\)	\(\large{m}\)
\(\large{ \overrightarrow{\alpha_l} }\) (Greek symbol alpha) = linear thermal expansion coefficient	\(\large{ \frac{1}{F} }\)	\(\large{ \frac{1}{C} }\)
\(\large{ \epsilon }\) (Greek symbol epsilon) = strain	\(\large{ \frac{in}{in} }\)	\(\large{\frac{mm}{mm}}\)
\(\large{ T_f }\) = final temperature	\(\large{F}\)	\(\large{C}\)
\(\large{ T_i }\) = initial temperature	\(\large{F}\)	\(\large{C}\)

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Initial Length Formulas