# Linear Thermal expanion what is the formula we use?

• Idrees
The formula used is Lf = Li(1 + alpha*change in temperature), where Lf is the final length, Li is the initial length, and alpha is the coefficient of linear expansion.
Idrees
Linear Thermal expanion! what is the formula we use?

## Homework Statement

I have been given a linear coefficient which 1.2*10^-5 of something
i have been given the initial temperature of 30 degrees and final temperature of 55 degrees
I have been given that initial length is 3.0 m

I am trying to find the unknown final length ?

## Homework Equations

please what's the relevant equation i need to use

## The Attempt at a Solution

try $extension=L\alpha T$

im sorry which one is extension

i used one forumula and i got 50

it was Final lenght= a Lenghts (final temp -initial temp) + initial lenght
thus final length = 2.0 m (initial lenght) *( 45 deg-20 deg) + 2.0 m
= 50 meters

is this right approach ?

In then problem the initial length is 3 m.
The relevant equation is
Lf = Li( 1 + alpha*change in temperature) where alpha is the coefficient of linear expansion.

thank you for that

## 1. What is linear thermal expansion and why is it important?

Linear thermal expansion is the increase in length of a material as its temperature increases. It is important because it helps us understand how materials will behave under different temperature conditions, which is essential for many engineering and construction applications.

## 2. What is the formula for calculating linear thermal expansion?

The formula for linear thermal expansion is: ΔL = L0αΔT, where ΔL is the change in length, L0 is the initial length, α is the coefficient of linear expansion, and ΔT is the change in temperature.

## 3. How do we determine the coefficient of linear expansion for a material?

The coefficient of linear expansion can be determined through experiments where the material is heated and its change in length is measured. This value can also be found in reference tables for commonly used materials.

## 4. Can linear thermal expansion be negative?

Yes, linear thermal expansion can be negative if the material contracts in length as its temperature increases. This is known as negative thermal expansion and is observed in certain materials such as water at very low temperatures.

## 5. How does linear thermal expansion differ from other types of thermal expansion?

Linear thermal expansion only refers to the change in length of a material, whereas other types of thermal expansion include changes in volume or area. Linear thermal expansion also follows a different formula than other types of thermal expansion.

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