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Thermal Expansion Calculator

Physics
0.0(0)

Calculates the change in length, area, or volume of a material due to a change in temperature.

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Initial Length (L₀), Initial Area (A₀), Initial Volume (V₀), Temperature Change (ΔT), Linear Expansion Coefficient (α), Area Expansion Coefficient (β), Volume Expansion Coefficient (γ), and Expansion Type in the units shown.

Step 2

Read Change in Volume (ΔV), Change in Area (ΔA), Change in Length (ΔL), Final Volume (V), Final Area (A), and Final Length (L) in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Steel Rod - Linear

Initial Length (L₀): 1 m; Initial Area (A₀): 1 m²; Initial Volume (V₀): 1 m³; Temperature Change (ΔT): 50 °C; Linear Expansion Coefficient (α): 0.000012 °C⁻¹; Area Expansion Coefficient (β): 0.000024 °C⁻¹; Volume Expansion Coefficient (γ): 0.000036 °C⁻¹; Expansion Type: Linear Expansion

Change in Volume (ΔV): 0 m³; Change in Area (ΔA): 0 m²; Change in Length (ΔL): 0.0006 m; Final Volume (V): 1 m³; Final Area (A): 1 m²; Final Length (L): 1.0006 m

Aluminum Plate - Area

Initial Length (L₀): 1 m; Initial Area (A₀): 1 m²; Initial Volume (V₀): 1 m³; Temperature Change (ΔT): 20 °C; Linear Expansion Coefficient (α): 0.000012 °C⁻¹; Area Expansion Coefficient (β): 0.000048 °C⁻¹; Volume Expansion Coefficient (γ): 0.000036 °C⁻¹; Expansion Type: Area Expansion

Change in Volume (ΔV): 0 m³; Change in Area (ΔA): 0.00096 m²; Change in Length (ΔL): 0 m; Final Volume (V): 1 m³; Final Area (A): 1.00096 m²; Final Length (L): 1 m

Water - Volume

Initial Length (L₀): 1 m; Initial Area (A₀): 1 m²; Initial Volume (V₀): 1 m³; Temperature Change (ΔT): 10 °C; Linear Expansion Coefficient (α): 0.000012 °C⁻¹; Area Expansion Coefficient (β): 0.000024 °C⁻¹; Volume Expansion Coefficient (γ): 0.00021 °C⁻¹; Expansion Type: Volume Expansion

Change in Volume (ΔV): 0.0021 m³; Change in Area (ΔA): 0 m²; Change in Length (ΔL): 0 m; Final Volume (V): 1.0021 m³; Final Area (A): 1 m²; Final Length (L): 1 m

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