Thermal Expansion Calculator

✖Change in Length is a difference in length after the application of Load.ⓘ Change in Length [Δl]			+10% -10%
✖Initial Length or Actual Length of a curve which undergoing iteration or some elastic extension, is the length of the curve before all those changes.ⓘ Initial Length [l₀]			+10% -10%
✖Temperature Change is a process whereby the degree of hotness of a body (or medium) changes.ⓘ Temperature Change [ΔT]			+10% -10%

✖The Coefficient of Linear Thermal Expansion is a material property that characterizes the ability of a plastic to expand under the effect of temperature elevation.ⓘ Thermal Expansion [α]

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Formula

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Thermal Expansion

Formula

`"α" = "Δl"/("l"_{"0"}*"ΔT")`

Example

`"1.7E^-5°C⁻¹"="0.0025m"/("7m"*"21K")`

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Thermal Expansion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Linear Thermal Expansion = Change in Length/(Initial Length*Temperature Change)
α = Δl/(l₀*ΔT)
This formula uses 4 Variables

Variables Used

Coefficient of Linear Thermal Expansion - (Measured in Per Kelvin) - The Coefficient of Linear Thermal Expansion is a material property that characterizes the ability of a plastic to expand under the effect of temperature elevation.
Change in Length - (Measured in Meter) - Change in Length is a difference in length after the application of Load.
Initial Length - (Measured in Meter) - Initial Length or Actual Length of a curve which undergoing iteration or some elastic extension, is the length of the curve before all those changes.
Temperature Change - (Measured in Kelvin) - Temperature Change is a process whereby the degree of hotness of a body (or medium) changes.

STEP 1: Convert Input(s) to Base Unit

Change in Length: 0.0025 Meter --> 0.0025 Meter No Conversion Required
Initial Length: 7 Meter --> 7 Meter No Conversion Required
Temperature Change: 21 Kelvin --> 21 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = Δl/(l₀*ΔT) --> 0.0025/(7*21)

Evaluating ... ...

α = 1.70068027210884E-05

STEP 3: Convert Result to Output's Unit

1.70068027210884E-05 Per Kelvin -->1.70068027210884E-05 Per Degree Celsius (Check conversion here)

FINAL ANSWER

1.70068027210884E-05 ≈ 1.7E-5 Per Degree Celsius <-- Coefficient of Linear Thermal Expansion

(Calculation completed in 00.020 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 13 Production of Power from Heat Calculators

Carnot Cycle of Heat Pump

Go Carnot Cycle of Heat Pump = Heat from High Temperature Reservoir/(Heat from High Temperature Reservoir-Heat from Low Temperature Reservoir)

Coefficient of Performance of Heat Pump using Heat in Cold and Hot Reservoir

Go COP of Heat Pump given Heat = Heat in the hot reservoir/(Heat in the hot reservoir-Heat in Cold Reservoir)

Thermal Expansion

Go Coefficient of Linear Thermal Expansion = Change in Length/(Initial Length*Temperature Change)

Thermal Efficiency of Carnot Engine

Go Thermal Efficiency of Carnot Engine = 1-Absolute Temperature of Cold Reservoir/Absolute Temperature of Hot Reservoir

Work of Heat Pump

Go Work of Heat Pump = Heat from High Temperature Reservoir-Heat from Low Temperature Reservoir

Coefficient of Performance of Heat Pump using Work and Heat in Cold Reservoir

Go COP of Heat Pump in Cold Reservoir = Heat in the hot reservoir/Mechanical Energy

Carnot Cycle Efficiency of Heat Engine using Temperature of Source and Sink

Go Carnot Cycle Efficiency = 1-Initial Temperature/Final Temperature

Thermal Efficiency of Heat Engine

Go Thermal Efficiency of Heat Engine = Work/Heat Energy

Otto Cycle Efficiency

Go OTE = 1-Initial Temperature/Final Temperature

Real Heat Engine

Go Real Heat Engine = Work of Heat Pump/Heat

Real Heat Pump

Go Real Heat Pump = Heat/Work of Heat Pump

Performance of Heat Pump

Go Heat Pump = Heat/Work of Heat Pump

Ranking Cycle Efficiency

Go Ranking Cycle = 1-Heat Ratio

< 17 Thermal Parameters Calculators

Specific Heat of Gas Mixture

Go Specific Heat of Gas Mixture = (Number of Moles of Gas 1*Specific Heat Capacity of Gas 1 at Constant Volume+Number of Moles of Gas 2*Specific Heat Capacity of Gas 2 at Constant Volume)/(Number of Moles of Gas 1+Number of Moles of Gas 2)

Heat Transfer at Constant Pressure

Go Heat Transfer = Mass of Gas*Molar Specific Heat Capacity at Constant Pressure*(Final Temperature-Initial Temperature)

Thermal Stress of Material

Go Thermal Stress = (Coefficient of Linear Thermal Expansion*Young's Modulus*Temperature Change)/(Initial Length)

Change in Potential Energy

Go Change in Potential Energy = Mass*[g]*(Height of Object at Point 2-Height of Object at Point 1)

Saturated Mixture Specific Enthalpy

Go Saturated Mixture Specific Enthalpy = Fluid Specific Enthalpy+Vapour Quality*Latent Heat of Vaporization

Specific Heat at Constant Volume

Go Molar Specific Heat Capacity at Constant Volume = Heat Change/(Number of Moles*Temperature Change)

Thermal Expansion

Go Coefficient of Linear Thermal Expansion = Change in Length/(Initial Length*Temperature Change)

Change in Kinetic Energy

Go Change in Kinetic Energy = 1/2*Mass*(Final Velocity at Point 2^2-Final Velocity at Point 1^2)

Ratio of Specific Heat

Go Specific Heat Ratio = Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume

Specific Heat Capacity at Constant Pressure

Go Molar Specific Heat Capacity at Constant Pressure = [R]+Molar Specific Heat Capacity at Constant Volume

Total Energy of System

Go Total Energy of System = Potential Energy+Kinetic Energy+Internal Energy

Sensible Heat Factor

Go Sensible Heat Factor = Sensible Heat/(Sensible Heat+Latent Heat)

Specific Heat Ratio

Go Specific Heat Ratio Dynamic = Heat Capacity Constant Pressure/Heat Capacity Constant Volume

Specific Heat

Go Specific Heat = Heat*Mass*Temperature Change

Stefan Boltzmann Law

Go Black-Body Radiant Emittance = [Stefan-BoltZ]*Temperature^(4)

Thermal Capacity

Go Thermal Capacity = Mass*Specific Heat

Latent Heat

Go Latent Heat = Heat/Mass

Thermal Expansion Formula

Coefficient of Linear Thermal Expansion = Change in Length/(Initial Length*Temperature Change)
α = Δl/(l₀*ΔT)

Define Thermal Expansion?

Thermal expansion describes the tendency of an object to change its dimension either in length, area or volume due to heat. Heating up a substance increases its kinetic energy. Depending on the type of expansion thermal expansion is of 3 types– Linear expansion, Area expansion, and Volume expansion.

How to Calculate Thermal Expansion?

Thermal Expansion calculator uses Coefficient of Linear Thermal Expansion = Change in Length/(Initial Length*Temperature Change) to calculate the Coefficient of Linear Thermal Expansion, Thermal Expansion describes the tendency of an object to change its dimension either in length, area, or volume due to heat. Heating a substance increases its kinetic energy. Coefficient of Linear Thermal Expansion is denoted by α symbol.

How to calculate Thermal Expansion using this online calculator? To use this online calculator for Thermal Expansion, enter Change in Length (Δl), Initial Length (l₀) & Temperature Change (ΔT) and hit the calculate button. Here is how the Thermal Expansion calculation can be explained with given input values -> 1.7E-5 = 0.0025/(7*21).

FAQ

What is Thermal Expansion?

Thermal Expansion describes the tendency of an object to change its dimension either in length, area, or volume due to heat. Heating a substance increases its kinetic energy and is represented as α = Δl/(l₀*ΔT) or Coefficient of Linear Thermal Expansion = Change in Length/(Initial Length*Temperature Change). Change in Length is a difference in length after the application of Load, Initial Length or Actual Length of a curve which undergoing iteration or some elastic extension, is the length of the curve before all those changes & Temperature Change is a process whereby the degree of hotness of a body (or medium) changes.

How to calculate Thermal Expansion?

Thermal Expansion describes the tendency of an object to change its dimension either in length, area, or volume due to heat. Heating a substance increases its kinetic energy is calculated using Coefficient of Linear Thermal Expansion = Change in Length/(Initial Length*Temperature Change). To calculate Thermal Expansion, you need Change in Length (Δl), Initial Length (l₀) & Temperature Change (ΔT). With our tool, you need to enter the respective value for Change in Length, Initial Length & Temperature Change and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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