# Thermal Expansion Calculator

The Thermal Expansion Calculator will calculate the:

1. Linear expansion or contraction of a bar of original length L0
2. Area expansion or contraction of a thin plate of original area A0
3. Volume expansion or contraction of a solid object of original volume V0
 🖹 Normal View🗖 Full Page View Calculator Precision (Decimal Places)0123456789101112131415 Original length of the bar (L0) m Original Area of the thin plate (A0) m2 Original Volume of the solid object (V0) m3 Linear expansion coefficient of the material (α) K-1 Initial temperature of object (T0) °C Final temperature of object (T) °C

Thermal Expansion Calculator Restrictions: The material is taken as homogenous.

Final length of the bar calculations The linear expansion or contraction of a bar of original length L0 is m The area expansion or contraction of a thin plate of original area A0 is m2 The volume expansion or contraction of a thin plate of original area V0 is m3 L = L0 × 1 + α × ( T - T0 )L = × 1 + × ( - )L = × 1 + × L = × L = A = A0 × 1 + 2α × ( T - T0 )A = × 1 + (2 × ) × ( - )A = × 1 + × A = × A = V = V0 × 1 + 3α × ( T - T0 )V = × 1 + (3 × ) × ( - )V = × 1 + × V = × V = Original length of the bar (L0) = Original Area of the thin plate (A0) = m2 Original Volume of the solid object (V0) = m3 Linear expansion coefficient of the material (α) = K-1 Initial temperature of object (T0) = °C Final temperature of object (T) = °C

Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each thermal expansion calculation, the Thermal Expansion Calculator will automatically calculate the results and update the Physics formula elements with each element of the thermal expansion calculation. You can then email or print this thermal expansion calculation as required for later use.

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## Related Physics Chapters with Tutorials

Section 1: Units and Measurements

Section 13: Thermodynamics

## Final length of the bar Formula and Calculation

L = L0 × 1 + α × ( T - T0 )

## Final area of the plate Formula and Calculation

A = A0 × 1 + 2α × ( T - T0 )

## Final volume of the object Formula and Calculation

V = V0 × 1 + 3α × ( T - T0 )

Remark! You can find the amount of expansion or contraction Δ in each case by subtracting the original value from the final one. Thus,

∆L = L - L0
∆A = A - A0
∆V = V - V0

If Δ > 0 , there is thermal expansion and if Δ < 0 , there is thermal contraction in the material.

## Thermodynamics Physics Tutorials associated with the Thermal Expansion Calculator

The following Physics tutorials are provided within the Thermodynamics section of our Free Physics Tutorials. Each Thermodynamics tutorial includes detailed Thermodynamics formula and example of how to calculate and resolve specific Thermodynamics questions and problems. At the end of each Thermodynamics tutorial you will find Thermodynamics revision questions with a hidden answer that reveals when clicked. This allows you to learn about Thermodynamics and test your knowledge of Physics by answering the test questions on Thermodynamics.

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