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Linear Thermal Expansion Formula

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Change in Length is after the application of force, change in the dimensions of the object. Check FAQs

ΔL = α t \cdot L bar \cdot Δθ

ΔL - Change in Length?α_t - Coefficient of Thermal Expansion?L_bar - Length of Bar?Δθ - Difference in Temperature?

Linear Thermal Expansion Example

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With units

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

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

Here is how the Linear Thermal Expansion equation looks like.

45300 = 1.51 \cdot 2000 \cdot 15

45300A = 1.51°C⁻¹ \cdot 2000A \cdot 15K

45300 = 1.51 \cdot 2000 \cdot 15

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Linear Thermal Expansion Solution

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

FIRST Step Consider the formula

ΔL = α t \cdot L bar \cdot Δθ

Next Step Substitute values of Variables

∴

ΔL = 1.51°C⁻¹ \cdot 2000A \cdot 15K

Next Step Convert Units

∴

ΔL = 1.511/K \cdot 2E-7m \cdot 15K

Next Step Prepare to Evaluate

∴

ΔL = 1.51 \cdot 2E-7 \cdot 15

Next Step Evaluate

∴

ΔL = 4.53E-06m

LAST Step Convert to Output's Unit

∴

ΔL = 45300A

Linear Thermal Expansion Formula Elements

Variables

Change in Length

Change in Length is after the application of force, change in the dimensions of the object.

Symbol: ΔL

Measurement: LengthUnit: A

Note: Value can be positive or negative.

Formulas to find Change in Length

Coefficient of Thermal Expansion

The Coefficient of Thermal Expansion is a material property that is indicative of the extent to which a material expands upon heating.

Symbol: α_t

Measurement: Temperature Coefficient of ResistanceUnit: °C⁻¹

Note: Value can be positive or negative.

Formulas to find Coefficient of Thermal Expansion

Length of Bar

Length Of Bar is defined as the total length of the Bar.

Symbol: L_bar

Measurement: LengthUnit: A

Note: Value should be greater than 0.

Formulas to find Length of Bar

Difference in Temperature

Difference in Temperature is a measure of the difference of relative amounts of temperature within two bodies.

Symbol: Δθ

Measurement: Temperature DifferenceUnit: K

Note: Value should be greater than 0.

Formulas to find Difference in Temperature

Other formulas in Parameters category

Go Theoretical Density

ρ' = \frac{V}{M}

Go Poisson Ratio

𝛎 = \frac{Sd}{ε l}

Go Atomic Packing Factor

APF = \frac{V a}{V u}

Go Atomic Packing Factor Percentage

APF % = APF \cdot 100

How to Evaluate Linear Thermal Expansion?

Linear Thermal Expansion evaluator uses Change in Length = Coefficient of Thermal Expansion*Length of Bar*Difference in Temperature to evaluate 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 evaluate Linear Thermal Expansion using this online evaluator? To use this online evaluator for Linear Thermal Expansion, enter Coefficient of Thermal Expansion (α_t), Length of Bar (L_bar) & Difference in Temperature (Δθ) and hit the calculate button.

FAQs on Linear Thermal Expansion

What is the formula to find Linear Thermal Expansion?

The formula of Linear Thermal Expansion is expressed as Change in Length = Coefficient of Thermal Expansion*Length of Bar*Difference in Temperature. Here is an example- 4.5E+14 = 1.51*2E-07*15.

How to calculate Linear Thermal Expansion?

With Coefficient of Thermal Expansion (α_t), Length of Bar (L_bar) & Difference in Temperature (Δθ) we can find Linear Thermal Expansion using the formula - Change in Length = Coefficient of Thermal Expansion*Length of Bar*Difference in Temperature.

Can the Linear Thermal Expansion be negative?

Yes, the Linear Thermal Expansion, measured in Length can be negative.

Which unit is used to measure Linear Thermal Expansion?

Linear Thermal Expansion is usually measured using the Angstrom[A] for Length. Meter[A], Millimeter[A], Kilometer[A] are the few other units in which Linear Thermal Expansion can be measured.

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