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The Thermal Expansion Calculator will calculate the:

- Linear expansion or contraction of a bar of original length L
_{0} - Area expansion or contraction of a thin plate of original area A
_{0} - Volume expansion or contraction of a solid object of original volume V
_{0}

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

The linear expansion or contraction of a bar of original length L_{0} is m |

The area expansion or contraction of a thin plate of original area A_{0} is m^{2} |

The volume expansion or contraction of a thin plate of original area V_{0} is m^{3} |

Final length of the bar calculations |
---|

L = L_{0} × 1 + α × ( T - T_{0} )L = × 1 + × ( - )L = × 1 + × L = × L = |

Final area of the plate calculations |

A = A_{0} × 1 + 2α × ( T - T_{0} )A = × 1 + (2 × ) × ( - )A = × 1 + × A = × A = |

Final volume of the object calculations |

V = V_{0} × 1 + 3α × ( T - T_{0} )V = × 1 + (3 × ) × ( - )V = × 1 + × V = × V = |

Thermal Expansion Calculator Input Values |

Original length of the bar (L_{0}) = |

Original Area of the thin plate (A_{0}) = m^{2} |

Original Volume of the solid object (V_{0}) = m^{3} |

Linear expansion coefficient of the material (α) = K^{-1} |

Initial temperature of object (T_{0}) = °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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Section 1: Units and Measurements

L = L_{0} × 1 + α × ( T - T_{0} )

A = A_{0} × 1 + 2α × ( T - T_{0} )

V = V_{0} × 1 + 3α × ( T - T_{0} )

**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 - L_{0}

∆A = A - A_{0}

∆V = V - V_{0}

∆A = A - A

∆V = V - V

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

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.

- 13.1 - Temperature. The Zeroth Law of Thermodynamics
- 13.2 - Thermal Expansion
- 13.3 - Absorption of Heat
- 13.4 - Calorimetry (Heat Transfer)
- 13.5 - The First Law of Thermodynamics
- 13.6 - The Kinetic Theory of Gases. Ideal Gases
- 13.7 - Pressure, Temperature and RMS Speed
- 13.8 - Molar Specific Heats and Degrees of Freedom
- 13.9 - Gas Laws
- 13.10 - Entropy and the Second Law of Thermodynamics

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