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Thermal Expansion Formula

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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. Check FAQs

α = \frac{Δl}{l 0 \cdot ΔT}

α - Coefficient of Linear Thermal Expansion?Δl - Change in Length?l₀ - Initial Length?ΔT - Temperature Change?

Thermal Expansion Example

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Here is how the Thermal Expansion equation looks like with Values.

Here is how the Thermal Expansion equation looks like with Units.

Here is how the Thermal Expansion equation looks like.

0.001 = \frac{0.0025}{0.119 \cdot 21}

0.001°C⁻¹ = \frac{0.0025m}{0.119m \cdot 21K}

0.001 = \frac{0.0025}{0.119 \cdot 21}

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Thermal Expansion Solution

Follow our step by step solution on how to calculate Thermal Expansion?

FIRST Step Consider the formula

α = \frac{Δl}{l 0 \cdot ΔT}

Next Step Substitute values of Variables

∴

α = \frac{0.0025m}{0.119m \cdot 21K}

Next Step Prepare to Evaluate

∴

α = \frac{0.0025}{0.119 \cdot 21}

Next Step Evaluate

∴

α = 0.001000400160064031/K

Next Step Convert to Output's Unit

∴

α = 0.00100040016006403°C⁻¹

LAST Step Rounding Answer

∴

α = 0.001°C⁻¹

Thermal Expansion Formula Elements

Variables

Coefficient of Linear Thermal Expansion

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.

Symbol: α

Measurement: Temperature Coefficient of ResistanceUnit: °C⁻¹

Note: Value can be positive or negative.

Formulas to find Coefficient of Linear Thermal Expansion

Change in Length

Change in Length is a difference in length after the application of Load.

Symbol: Δl

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Change in Length

Initial Length

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.

Symbol: l₀

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Initial Length

Temperature Change

Temperature Change is a process whereby the degree of hotness of a body (or medium) changes.

Symbol: ΔT

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Temperature Change

Other formulas in Production of Power from Heat category

Go Saturated Mixture Specific Enthalpy

h = h f + χ \cdot h fg

Go Sensible Heat Factor

SHF = \frac{SH}{SH + LH}

Go Specific Heat

c = Q \cdot m \cdot ΔT

Go Specific Heat at Constant Volume

C vm = \frac{ΔQ}{N m \cdot ΔT}

How to Evaluate Thermal Expansion?

Thermal Expansion evaluator uses Coefficient of Linear Thermal Expansion = Change in Length/(Initial Length*Temperature Change) to evaluate 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 evaluate Thermal Expansion using this online evaluator? To use this online evaluator for Thermal Expansion, enter Change in Length (Δl), Initial Length (l₀) & Temperature Change (ΔT) and hit the calculate button.

FAQs on Thermal Expansion

What is the formula to find Thermal Expansion?

The formula of Thermal Expansion is expressed as Coefficient of Linear Thermal Expansion = Change in Length/(Initial Length*Temperature Change). Here is an example- 0.001 = 0.0025/(0.119*21).

How to calculate Thermal Expansion?

With Change in Length (Δl), Initial Length (l₀) & Temperature Change (ΔT) we can find Thermal Expansion using the formula - Coefficient of Linear Thermal Expansion = Change in Length/(Initial Length*Temperature Change).

Can the Thermal Expansion be negative?

Yes, the Thermal Expansion, measured in Temperature Coefficient of Resistance can be negative.

Which unit is used to measure Thermal Expansion?

Thermal Expansion is usually measured using the Per Degree Celsius[°C⁻¹] for Temperature Coefficient of Resistance. Per Kelvin[°C⁻¹] are the few other units in which Thermal Expansion can be measured.

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