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Restoring Force Formula

GoRestoring Force using Weight of Body Formula

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Restoring Force is the force that tends to restore an object to its original position during free longitudinal vibrations. Check FAQs

F re = - s constrain \cdot s body

F_re - Restoring Force?s_constrain - Stiffness of Constraint?s_body - Displacement of Body?

Restoring Force Example

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With units

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

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

Here is how the Restoring Force equation looks like.

-9.75 = - 13 \cdot 0.75

-9.75N = - 13N/m \cdot 0.75m

-9.75 = - 13 \cdot 0.75

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Restoring Force Solution

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

FIRST Step Consider the formula

F re = - s constrain \cdot s body

Next Step Substitute values of Variables

∴

F re = - 13N/m \cdot 0.75m

Next Step Prepare to Evaluate

∴

F re = - 13 \cdot 0.75

LAST Step Evaluate

∴

F re = -9.75N

Restoring Force Formula Elements

Variables

Restoring Force

Restoring Force is the force that tends to restore an object to its original position during free longitudinal vibrations.

Symbol: F_re

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Restoring Force

Stiffness of Constraint

Stiffness of Constraint is the measure of the rigidity of a constraint in a system, affecting the natural frequency of free longitudinal vibrations.

Symbol: s_constrain

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Stiffness of Constraint

Displacement of Body

Displacement of Body is the maximum distance moved by an object from its mean position during free longitudinal vibrations.

Symbol: s_body

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Displacement of Body

Other Formulas to find Restoring Force

Go Restoring Force using Weight of Body

F re = W - (s constrain \cdot (δ + s body))

Other formulas in Equilibrium Method category

Go Gravitational Pull Balanced by Spring Force

W = s constrain \cdot δ

Go Acceleration of Body given Stiffness of Constraint

a = \frac{s constrain \cdot s body}{W attached}

Go Displacement of Body given Stiffness of Constraint

s body = \frac{W attached \cdot a}{s constrain}

Go Angular Velocity of Free Longitudinal Vibrations

ω = \sqrt{\frac{s constrain}{m spring}}

How to Evaluate Restoring Force?

Restoring Force evaluator uses Restoring Force = -Stiffness of Constraint*Displacement of Body to evaluate the Restoring Force, Restoring Force formula is defined as a measure of the force that restores an object to its original position after it has been displaced from its equilibrium position, often observed in oscillatory motions, and is a crucial concept in understanding the dynamics of vibrating systems. Restoring Force is denoted by F_re symbol.

How to evaluate Restoring Force using this online evaluator? To use this online evaluator for Restoring Force, enter Stiffness of Constraint (s_constrain) & Displacement of Body (s_body) and hit the calculate button.

FAQs on Restoring Force

What is the formula to find Restoring Force?

The formula of Restoring Force is expressed as Restoring Force = -Stiffness of Constraint*Displacement of Body. Here is an example- -9.75 = -13*0.75.

How to calculate Restoring Force?

With Stiffness of Constraint (s_constrain) & Displacement of Body (s_body) we can find Restoring Force using the formula - Restoring Force = -Stiffness of Constraint*Displacement of Body.

What are the other ways to Calculate Restoring Force?

Here are the different ways to Calculate Restoring Force-

Restoring Force=Weight of Body in Newtons-(Stiffness of Constraint*(Static Deflection+Displacement of Body))

Can the Restoring Force be negative?

Yes, the Restoring Force, measured in Force can be negative.

Which unit is used to measure Restoring Force?

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

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