Physics

Linear Thermal Expansion Calculator

Estimate length change caused by a temperature change.

SI units shown beside each fieldIdeal model explained below
Physics lab
Physics lab

Use the units beside each input and review the model assumptions.

See the method

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Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter initial length, expansion coefficient, temperature change.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

Input reference and sample values

Use the units and choices shown for each field. Sample values are provided for practice, not as recommendations.

InputFormat and unitsSample
Initial lengthNumeric value. Unit: m. Must be greater than zero.2
Expansion coefficientNumeric value. Unit: 1/K. Must be greater than zero.0.000012
Temperature changeNumeric value. Unit: K.50

Result for these sample inputs

0.0012 m

Select Try the example in the form to load these values and calculate them again. This replaces the current form inputs. Compare the result with the method and worked explanation below.

The method, explained

Length change = initial length × expansion coefficient × temperature change.

A WORKED EXAMPLE

Using initial length = 2 m, expansion coefficient = 0.000012 1/K, temperature change = 50 K, the result is 0.0012 m. Change these example inputs to match your task; use the method above to check each step.

What to keep in mind

Assumes a constant coefficient over a small enough temperature interval. An idealized educational model using the stated SI units. Real systems may need additional forces, losses or experimental measurements. Not a safety or equipment specification.

Methodology maintained by ClarityKit. How these tools are built and checked.