Thermal Expansion
Learning Objectives
- Students will be able to explain why materials expand when heated
- Students will be able to distinguish between linear and volume expansion
- Students will be able to predict and calculate thermal expansion in practical situations
Core Concepts
- linear_expansion
- volume_expansion
- coefficient_of_expansion
- vibration_amplitude
- material_properties
Formulas
$$\Delta L = \alpha L_0 \Delta T$$
Linear thermal expansion (α is coefficient of linear expansion)
$$\Delta V = \beta V_0 \Delta T$$
Volume thermal expansion (β is coefficient of volume expansion)
Units
| coefficient of linear expansion | α (per Kelvin or per °C) |
| coefficient of volume expansion | β (per Kelvin or per °C) |
Interesting Fact
Large bridges use expansion joints to accommodate thermal expansion from temperature changes across seasons
Key Scientist
Robert Boyle
Early observations of thermal expansion effects
Ancient Wisdom
The principle of flexibility in response to conditions: thermal expansion mirrors spiritual teachings about adapting to circumstances without breaking.
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