Science Academy
☰✕

Thermal Expansion Calculator

🔥 Heat & thermodynamics. Use the Thermal expansion formula to find change in length, expansion coefficient α, original length, temperature change: pick the value you want, type the others, and the answer updates as you go.

ΔL=αL0ΔT\Delta L = \alpha L_0 \Delta T
Change in length0.0012 m

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Change in lengthm
Expansion coefficient αper K
Original lengthm
Temperature changeK

Worked example

Find the change in length when Expansion coefficient α = 1.2 × 10⁻⁵ per K, Original length = 10 m, Temperature change = 10 K.

Using Δ L = α L0 Δ T: Change in length = 0.0012 m.

Frequently asked questions

What is the formula for Thermal expansion?

Δ L = α L0 Δ T.

What do the letters stand for, and what units are used?

Change in length in m, Expansion coefficient α in per K, Original length in m, Temperature change in K.

How do you calculate change in length?

Put the values into Δ L = α L0 Δ T. For example, with Expansion coefficient α = 1.2 × 10⁻⁵ per K, Original length = 10 m, Temperature change = 10 K, change in length = 0.0012 m.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (change in length, expansion coefficient α, original length, temperature change) and fill in the others: it rearranges the formula for you.

All physics formulas in the Physics Formulas