Thermal Expansion Converter - Convert Linear, Area & Volume Expansion Coefficients

Result:

1 /°C = 5.555556e-1 /°F

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How Thermal Expansion Conversion Works

1

Input Coefficient

Enter expansion coefficient

2

Select Units

Choose temperature units

3

Apply Formula

Convert using factors

α₂ = α₁ × (T₁/T₂)
Conversion formula

Thermal Expansion Formulas

Linear Expansion

ΔL = L₀ × α × ΔT
Where:
ΔL = Change in length
L₀ = Original length
α = Linear expansion coefficient
ΔT = Temperature change

Area Expansion

ΔA = A₀ × β × ΔT
Where:
ΔA = Change in area
A₀ = Original area
β = Area expansion coefficient ≈ 2α
ΔT = Temperature change

Volume Expansion

ΔV = V₀ × γ × ΔT
Where:
ΔV = Change in volume
V₀ = Original volume
γ = Volume expansion coefficient ≈ 3α
ΔT = Temperature change

Thermal Expansion Coefficient Conversion Table

/°C/°F/K%/°CMaterial Example
1.00e-65.56e-71.00e-61.00e-4Invar Steel
5.00e-62.78e-65.00e-65.00e-4Concrete
1.00e-55.56e-61.00e-51.00e-3Glass (Pyrex)
1.20e-56.67e-61.20e-51.20e-3Steel
1.70e-59.44e-61.70e-51.70e-3Iron
1.90e-51.06e-51.90e-51.90e-3Copper
2.30e-51.28e-52.30e-52.30e-3Aluminum
2.90e-51.61e-52.90e-52.90e-3Zinc
5.00e-52.78e-55.00e-55.00e-3Lead
7.00e-53.89e-57.00e-57.00e-3Rubber
1.00e-45.56e-51.00e-41.00e-2Ice
1.20e-46.67e-51.20e-41.20e-2Plastic (PVC)
1.80e-41.00e-41.80e-41.80e-2Gasoline
2.10e-41.17e-42.10e-42.10e-2Water
3.00e-41.67e-43.00e-43.00e-2Ethanol

Thermal Expansion Coefficient Progression Chart

1×10⁻⁶ /°C

/°F:5.60e-7
%/°C:1.00e-4

5×10⁻⁶ /°C

/°F:2.80e-6
%/°C:5.00e-4

1×10⁻⁵ /°C

/°F:5.60e-6
%/°C:1.00e-3

2×10⁻⁵ /°C

/°F:1.10e-5
%/°C:2.00e-3

5×10⁻⁵ /°C

/°F:2.80e-5
%/°C:5.00e-3

1×10⁻⁴ /°C

/°F:5.60e-5
%/°C:1.00e-2

Practice Problems

Problem 1:

Convert 2.3×10⁻⁵ /°C to /°F

Solution: 2.3×10⁻⁵ ÷ 1.8 = 1.28×10⁻⁵ /°F

Problem 2:

A steel rod expands 0.12% per 100°C. Find α in /°C

Solution: α = 0.0012/100 = 1.2×10⁻⁵ /°C

Problem 3:

Convert 1.9×10⁻⁵ /°F to /K

Solution: 1.9×10⁻⁵ × 1.8 = 3.42×10⁻⁵ /K

Problem 4:

Find volume expansion coefficient if linear α = 1.7×10⁻⁵ /°C

Solution: γ = 3α = 3 × 1.7×10⁻⁵ = 5.1×10⁻⁵ /°C

Problem 5:

A 10m bridge expands 2.3cm when heated 50°C. Find α

Solution: α = ΔL/(L₀×ΔT) = 0.023/(10×50) = 4.6×10⁻⁵ /°C

Daily Uses of Thermal Expansion

Bridge expansion joints prevent cracking from temperature changes

Bimetallic thermostats use different expansion rates for temperature control

Railway tracks have gaps to accommodate thermal expansion

Glass cookware uses low expansion materials to prevent thermal shock

Building materials selection considers thermal expansion compatibility

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Quick Reference

📏1 meter
3.28 feet
⚖️1 kilogram
2.2 pounds
🌡️0°C
32°F
🥤1 liter
0.26 gallon