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Spring Force Formula

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Spring Force is the force exerted by a compressed or stretched spring, which tends to restore the spring to its original shape or size. Check FAQs

P spring = k' \cdot d

P_spring - Spring Force?k' - Spring Stiffness?d - Displacement of Body?

Spring Force Example

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With units

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

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

Here is how the Spring Force equation looks like.

132.9048 = 10.4 \cdot 12.7793

132.9048N = 10.4N/m \cdot 12.7793m

132.9048 = 10.4 \cdot 12.7793

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Spring Force Solution

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

FIRST Step Consider the formula

P spring = k' \cdot d

Next Step Substitute values of Variables

∴

P spring = 10.4N/m \cdot 12.7793m

Next Step Prepare to Evaluate

∴

P spring = 10.4 \cdot 12.7793

Next Step Evaluate

∴

P spring = 132.904824N

LAST Step Rounding Answer

∴

P spring = 132.9048N

Spring Force Formula Elements

Variables

Spring Force

Spring Force is the force exerted by a compressed or stretched spring, which tends to restore the spring to its original shape or size.

Symbol: P_spring

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Spring Force

Spring Stiffness

Spring Stiffness is the measure of a spring's resistance to deformation, indicating its ability to store energy when compressed or stretched.

Symbol: k'

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Spring Stiffness

Displacement of Body

Displacement of Body is the distance moved by an object from its mean position in a mechanical vibrating system, measured from a reference point.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Displacement of Body

Other formulas in Elements of Vibration category

Go Displacement of Body in Simple Harmonic Motion

d = A' \cdot \sin (ω \cdot t sec)

Go Velocity of Body in Simple Harmonic Motion

V = A' \cdot ω \cdot \cos (ω \cdot t sec)

Go Magnitude of Acceleration of Body in Simple Harmonic Motion

a = A' \cdot ω^{2} \cdot \sin (ω \cdot t sec)

Go Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement

a = ω^{2} \cdot d

How to Evaluate Spring Force?

Spring Force evaluator uses Spring Force = Spring Stiffness*Displacement of Body to evaluate the Spring Force, Spring Force formula is defined as a measure of the force exerted by a spring when it is compressed or stretched, which is proportional to the distance of displacement from its equilibrium position, and is a fundamental concept in mechanical vibrations, used to describe the oscillatory motion of objects attached to springs. Spring Force is denoted by P_spring symbol.

How to evaluate Spring Force using this online evaluator? To use this online evaluator for Spring Force, enter Spring Stiffness (k') & Displacement of Body (d) and hit the calculate button.

FAQs on Spring Force

What is the formula to find Spring Force?

The formula of Spring Force is expressed as Spring Force = Spring Stiffness*Displacement of Body. Here is an example- 132.9048 = 10.4*12.77931.

How to calculate Spring Force?

With Spring Stiffness (k') & Displacement of Body (d) we can find Spring Force using the formula - Spring Force = Spring Stiffness*Displacement of Body.

Can the Spring Force be negative?

No, the Spring Force, measured in Force cannot be negative.

Which unit is used to measure Spring Force?

Spring Force is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Spring Force can be measured.

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