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Thermal Expansion Calculator

Estimate length change using a constant linear expansion coefficient.

Your numbers

Free calculator
YOUR RESULT
0.006m

Calculated in your browser. Your inputs aren’t uploaded.

When to use this calculator

Temperature change in kelvins has the same numeric magnitude as a change in degrees Celsius.

Explore the heat & thermal change calculators for other questions in this topic. For a related calculation, use the Thermal Resistance Flat Layer Calculator: Find thermal resistance of an ideal uniform planar layer.

PUTTING IT INTO PRACTICE

Thermal Expansion: a worked example

The values below are an illustrative example, not a recommendation. Replace them with measurements or assumptions that match your question.

Example inputs and calculated result
InputExample value
Original length (m)10
Expansion coefficient (per K)1.200000e-5
Temperature change (K)50
Result0.006 m
  1. Check the input labels and enter the example values above.
  2. Apply the relationship: Length change = initial length × coefficient × temperature change.
  3. The result is 0.006 m, rounded for display.

How to interpret your result

Assumes small expansion, a constant coefficient and unconstrained material.

Heating within a phase uses specific heat; phase changes use latent heat. Material properties vary with temperature. Ideal conduction calculations omit several real-world heat-transfer paths.

A useful next step is the Heating Energy Calculator: Estimate ideal energy required to raise water temperature.

Frequently asked questions

Does heating energy include boiling automatically?

No. Energy to reach a boiling temperature and latent energy to vaporise liquid are separate contributions.

When is the thermal expansion calculator useful?

Temperature change in kelvins has the same numeric magnitude as a change in degrees Celsius.

How do I use the thermal expansion calculator?

Enter original length (m), expansion coefficient (per k), temperature change (k). The result updates automatically. Use the units shown beside each input; the example values illustrate the method.

Which formula does this calculator use?

Length change = initial length × coefficient × temperature change.

What should I check before using the result?

Assumes small expansion, a constant coefficient and unconstrained material.

How are results rounded?

Scalar numbers display up to six decimal places, with scientific notation for very large or small values. Text, fraction, date and schedule outputs use the format described on the tool. Intermediate calculations use JavaScript floating-point arithmetic. Keep sensible precision for your measurements.

Further reading

For background on this topic, see OpenStax: thermal expansion ↗. This is a topic reference, not an external review or endorsement of this tool.

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