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Spring Work Formula

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Spring work is equal to the work done to stretch the spring, which depends upon the spring constant 'k' as well as the distance stretched. Check FAQs

W spring = K spring \cdot \frac{{x 2}^{2} - {x 1}^{2}}{2}

W_spring - Spring work?K_spring - Spring Constant?x₂ - Displacement at point 2?x₁ - Displacement at point 1?

Spring Work Example

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Here is how the Spring Work equation looks like with Values.

Here is how the Spring Work equation looks like with Units.

Here is how the Spring Work equation looks like.

478.125 = 51 \cdot \frac{5^{2} - {2.5}^{2}}{2}

478.125J = 51N/m \cdot \frac{{5m}^{2} - {2.5m}^{2}}{2}

478.125 = 51 \cdot \frac{5^{2} - {2.5}^{2}}{2}

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Spring Work Solution

Follow our step by step solution on how to calculate Spring Work?

FIRST Step Consider the formula

W spring = K spring \cdot \frac{{x 2}^{2} - {x 1}^{2}}{2}

Next Step Substitute values of Variables

∴

W spring = 51N/m \cdot \frac{{5m}^{2} - {2.5m}^{2}}{2}

Next Step Prepare to Evaluate

∴

W spring = 51 \cdot \frac{5^{2} - {2.5}^{2}}{2}

LAST Step Evaluate

∴

W spring = 478.125J

Spring Work Formula Elements

Variables

Spring work

Spring work is equal to the work done to stretch the spring, which depends upon the spring constant 'k' as well as the distance stretched.

Symbol: W_spring

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Spring work

Spring Constant

Spring Constant is the displacement of the spring from its equilibrium position.

Symbol: K_spring

Measurement: Stiffness ConstantUnit: N/m

Note: Value should be greater than 0.

Formulas to find Spring Constant

Displacement at point 2

Displacement at point 2 is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.

Symbol: x₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Displacement at point 2

Displacement at point 1

Displacement at point 1 is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.

Symbol: x₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Displacement at point 1

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How to Evaluate Spring Work?

Spring Work evaluator uses Spring work = Spring Constant*(Displacement at point 2^2-Displacement at point 1^2)/2 to evaluate the Spring work, Spring work is equal to the work done to stretch the spring, which depends upon the spring constant k as well as the distance stretched. Spring work is denoted by W_spring symbol.

How to evaluate Spring Work using this online evaluator? To use this online evaluator for Spring Work, enter Spring Constant (K_spring), Displacement at point 2 (x₂) & Displacement at point 1 (x₁) and hit the calculate button.

FAQs on Spring Work

What is the formula to find Spring Work?

The formula of Spring Work is expressed as Spring work = Spring Constant*(Displacement at point 2^2-Displacement at point 1^2)/2. Here is an example- 478.125 = 51*(5^2-2.5^2)/2.

How to calculate Spring Work?

With Spring Constant (K_spring), Displacement at point 2 (x₂) & Displacement at point 1 (x₁) we can find Spring Work using the formula - Spring work = Spring Constant*(Displacement at point 2^2-Displacement at point 1^2)/2.

Can the Spring Work be negative?

Yes, the Spring Work, measured in Energy can be negative.

Which unit is used to measure Spring Work?

Spring Work is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Spring Work can be measured.

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Spring Work Formula

Spring Work Example

Spring Work Solution

Spring Work Formula Elements

Other formulas in Refrigeration Parameters category

How to Evaluate Spring Work?

FAQs on Spring Work

Variable Name