All formula concerning thermal expansion in physics

This describes the change in length of a material due to a change in temperature.
The change in length $\Delta L$ is given by:

$$\Delta L = L_0 \alpha \Delta T$$

The final length $L$ is given by:

$$L = L_0 (1 + \alpha \Delta T)$$

Where:

• $\Delta L$ is the change in length
• $L_0$ is the original length
• $\alpha$ is the coefficient of linear thermal expansion
• $\Delta T$ is the change in temperature

This describes the change in the surface area of a material due to a change in temperature.
The change in area $\Delta A$ is given by:

$$\Delta A = A_0 \beta \Delta T$$

The final area $A$ is given by:

$$A = A_0 (1 + \beta \Delta T)$$

Where:

• $\Delta A$ is the change in area
• $A_0$ is the original area
• $\beta$ is the coefficient of area thermal expansion ($\beta \approx 2\alpha$)
• $\Delta T$ is the change in temperature

This describes the change in the volume of a material (solid, liquid, or gas) due to a change in temperature.
The change in volume $\Delta V$ is given by:

$$\Delta V = V_0 \gamma \Delta T$$

The final volume $V$ is given by:

$$V = V_0 (1 + \gamma \Delta T)$$

Where:

• $\Delta V$ is the change in volume
• $V_0$ is the original volume
• $\gamma$ is the coefficient of volume thermal expansion ($\gamma \approx 3\alpha$ for isotropic solids)
• $\Delta T$ is the change in temperature