Thermal Expansion of Solids
Linear Thermal Expansion of Solid |
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| \(\large{ \Delta l = \overrightarrow{\alpha_l} \; l_i \; \Delta T }\) | ||
| Symbol | English | Metric |
| \(\large{ \Delta l }\) = length differential | \(\large{ in }\) | \(\large{ mm }\) |
| \(\large{ l_i }\) = initial length | \(\large{ in }\) | \(\large{ mm }\) |
| \(\large{ \overrightarrow{\alpha_l} }\) (Greek symbol alpha) = linear thermal expansion coefficient | \(\large{ \frac{in}{in\;F} }\) | \(\large{ \frac{mm}{mm\;C} }\) |
| \(\large{ \Delta T }\) = temperature differential | \(\large{ F }\) | \(\large{ C }\) |
Aerial or Superficial Thermal Expansion of Solid |
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| \(\large{ \Delta A = 2\; \overrightarrow{\alpha_l} \; A_i \; \Delta T }\) | ||
| Symbol | English | Metric |
| \(\large{ \Delta A }\) = area differential | \(\large{ in^2 }\) | \(\large{ mm^2 }\) |
| \(\large{ A_i }\) = initial area of object | \(\large{ in^2 }\) | \(\large{ mm^2 }\) |
| \(\large{ \overrightarrow{\alpha_l} }\) (Greek symbol alpha) = linear thermal expansion coefficient | \(\large{ \frac{in}{in\;F} }\) | \(\large{ \frac{mm}{mm\;C} }\) |
| \(\large{ \Delta T }\) = temperature differential | \(\large{ F }\) | \(\large{ C }\) |
volumetric or cubical Thermal Expansion of Solid |
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| \(\large{ \Delta V = 3\; \overrightarrow{\alpha_l} \; V_i \; \Delta T }\) | ||
| Symbol | English | Metric |
| \(\large{ \Delta V }\) = volume differential | \(\large{ in^3 }\) | \(\large{ mm^3 }\) |
| \(\large{ V_i }\) = initial volume of object | \(\large{ in^3 }\) | \(\large{ mm^3 }\) |
| \(\large{ \overrightarrow{\alpha_l} }\) (Greek symbol alpha) = linear thermal expansion coefficient | \(\large{ \frac{in}{in\;F} }\) | \(\large{ \frac{mm}{mm\;C} }\) |
| \(\large{ \Delta T }\) = temperature differential | \(\large{ F }\) | \(\large{ C }\) |
