Linear Thermal Expansion Solution

STEP 0: Pre-Calculation Summary
Formula Used
Change in Length = Coefficient of Thermal Expansion*Length of Bar*Difference in Temperature
ΔL = αt*Lbar*Δθ
This formula uses 4 Variables
Variables Used
Change in Length - (Measured in Meter) - Change in Length is after the application of force, change in the dimensions of the object.
Coefficient of Thermal Expansion - (Measured in Per Kelvin) - The Coefficient of Thermal Expansion is a material property that is indicative of the extent to which a material expands upon heating.
Length of Bar - (Measured in Meter) - Length Of Bar is defined as the total length of the Bar.
Difference in Temperature - (Measured in Kelvin) - Difference in Temperature is a measure of the difference of relative amounts of temperature within two bodies.
STEP 1: Convert Input(s) to Base Unit
Coefficient of Thermal Expansion: 1.51 Per Degree Celsius --> 1.51 Per Kelvin (Check conversion ​here)
Length of Bar: 2000 Angstrom --> 2E-07 Meter (Check conversion ​here)
Difference in Temperature: 15 Kelvin --> 15 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ΔL = αt*Lbar*Δθ --> 1.51*2E-07*15
Evaluating ... ...
ΔL = 4.53E-06
STEP 3: Convert Result to Output's Unit
4.53E-06 Meter -->45300 Angstrom (Check conversion ​here)
FINAL ANSWER
45300 Angstrom <-- Change in Length
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Abhinav Gupta
Defence institute of advanced technology (DRDO) (DIAT), pune
Abhinav Gupta has created this Calculator and 10+ more calculators!
Verifier Image
Verified by Ravi Khiyani
Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore
Ravi Khiyani has verified this Calculator and 300+ more calculators!

Parameters Calculators

Linear Thermal Expansion
​ LaTeX ​ Go Change in Length = Coefficient of Thermal Expansion*Length of Bar*Difference in Temperature
Atomic Packing Factor
​ LaTeX ​ Go Atomic Packing Factor = Volume of Atoms in Unit Cell/Volume of Unit Cell
Theoretical Density
​ LaTeX ​ Go Theoretical Density = Total Volume of Unit Cell/Mass of Atom
Poisson Ratio
​ LaTeX ​ Go Poisson's Ratio = Lateral Strain/Longitudinal Strain

Linear Thermal Expansion Formula

​LaTeX ​Go
Change in Length = Coefficient of Thermal Expansion*Length of Bar*Difference in Temperature
ΔL = αt*Lbar*Δθ

What is Thermal Expansion?

Thermal expansion is the phenomenon observed in solids, liquids, and gases. In this process, an object or body expands on the application of heat (temperature). Thermal expansion defines the tendency of an object to change its dimension either in length, density, area, or volume due to heat. When the substance is heated it increases its kinetic energy. Thermal expansion is of three types:
- Linear expansion
- Area expansion
- Volume expansion

Thermal Expansion in Metals

It is a well-known phenomenon now that substances expand on heating and contract on cooling. If you heat a body, it alters its dimensions. Depending on the shape of the body. The expansion can occur in length in which case it is called Linear Expansion.
If we take a square tile and heat it, the expansion will be on two fronts, length and breadth, here it is called Area Expansion.
If we take a cube and heat it, all its sides expand and now the body experiences an increase in the overall volume due to this and it is called Volume Expansion.

How to Calculate Linear Thermal Expansion?

Linear Thermal Expansion calculator uses Change in Length = Coefficient of Thermal Expansion*Length of Bar*Difference in Temperature to calculate the Change in Length, The Linear Thermal expansion occurs when the temperature acts on the body, it undergoes a change in the length, width, height, or volume of the material. Since the atoms are tightly packed in solids, thermal expansion is seen evidently here. Change in Length is denoted by ΔL symbol.

How to calculate Linear Thermal Expansion using this online calculator? To use this online calculator for Linear Thermal Expansion, enter Coefficient of Thermal Expansion t), Length of Bar (Lbar) & Difference in Temperature (Δθ) and hit the calculate button. Here is how the Linear Thermal Expansion calculation can be explained with given input values -> 4.5E+14 = 1.51*2E-07*15.

FAQ

What is Linear Thermal Expansion?
The Linear Thermal expansion occurs when the temperature acts on the body, it undergoes a change in the length, width, height, or volume of the material. Since the atoms are tightly packed in solids, thermal expansion is seen evidently here and is represented as ΔL = αt*Lbar*Δθ or Change in Length = Coefficient of Thermal Expansion*Length of Bar*Difference in Temperature. The Coefficient of Thermal Expansion is a material property that is indicative of the extent to which a material expands upon heating, Length Of Bar is defined as the total length of the Bar & Difference in Temperature is a measure of the difference of relative amounts of temperature within two bodies.
How to calculate Linear Thermal Expansion?
The Linear Thermal expansion occurs when the temperature acts on the body, it undergoes a change in the length, width, height, or volume of the material. Since the atoms are tightly packed in solids, thermal expansion is seen evidently here is calculated using Change in Length = Coefficient of Thermal Expansion*Length of Bar*Difference in Temperature. To calculate Linear Thermal Expansion, you need Coefficient of Thermal Expansion t), Length of Bar (Lbar) & Difference in Temperature (Δθ). With our tool, you need to enter the respective value for Coefficient of Thermal Expansion, Length of Bar & Difference in Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!