Engineering & design · Grades 9–12
Linear thermal expansion · formula reference
Assume a constant expansion coefficient and small strain over the temperature range.
Formula
Assume a constant expansion coefficient and small strain over the temperature range.
ΔL = αL₀ΔT
Worked example
A rod has L₀=10 m and α=3×10⁻⁶ K⁻¹. For temperature rise 29 K, find length increase in mm. Round the final result to 4 decimal places if needed. Answer in mm.
Use ΔL=(3×10⁻⁶)(10)(29) m, then convert metres to millimetres.
0.87 mm
Prerequisites and checking
Algebra and the topic definitions. Keep units and rounding consistent. State the model conditions before applying the formula.
AI-assisted preview; independent educational review required. Level labels describe prerequisites, not accreditation or official curriculum alignment.