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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
Fre=W-(sconstrain⋅(δ+sbody))
Fre - Restoring Force?W - Weight of Body in Newtons?sconstrain - Stiffness of Constraint?δ - Static Deflection?sbody - Displacement of Body?

Restoring Force using Weight of Body Example

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With units
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Here is how the Restoring Force using Weight of Body equation looks like with Values.

Here is how the Restoring Force using Weight of Body equation looks like with Units.

Here is how the Restoring Force using Weight of Body equation looks like.

-9.75Edit=8Edit-(13Edit⋅(0.6154Edit+0.75Edit))
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HomeIcon Home » Category Physics » Category Mechanical » Category Theory of Machine » fx Restoring Force using Weight of Body

Restoring Force using Weight of Body Solution

Follow our step by step solution on how to calculate Restoring Force using Weight of Body?

FIRST Step Consider the formula
Fre=W-(sconstrain⋅(δ+sbody))
Next Step Substitute values of Variables
∴ Fre=8N-(13N/m⋅(0.6154m+0.75m))
Next Step Prepare to Evaluate
∴ Fre=8-(13⋅(0.6154+0.75))
Next Step Evaluate
∴Fre=-9.749999995N
LAST Step Rounding Answer
∴Fre=-9.75N

Restoring Force using Weight of Body 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: Fre
Measurement: ForceUnit: N
Note: Value can be positive or negative.
Formulas to find Restoring ForceOpen Variable
Weight of Body in Newtons
Weight of Body in Newtons is the force exerted on an object by gravity, measured in Newtons, during free longitudinal vibrations.
Symbol: W
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Formulas to find Weight of Body in NewtonsOpen Variable
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: sconstrain
Measurement: Surface TensionUnit: N/m
Note: Value should be greater than 0.
Formulas to find Stiffness of ConstraintOpen Variable
Static Deflection
Static Deflection is the maximum displacement of an object or structure under a given load, in the context of natural frequency of free longitudinal vibrations.
Symbol: δ
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Static DeflectionOpen Variable
Displacement of Body
Displacement of Body is the maximum distance moved by an object from its mean position during free longitudinal vibrations.
Symbol: sbody
Measurement: LengthUnit: m
Note: Value can be positive or negative.
Formulas to find Displacement of BodyOpen Variable

Other Formulas to find Restoring Force

​Go Restoring Force
Fre=-sconstrain⋅sbody

Other formulas in Equilibrium Method category

​Go Gravitational Pull Balanced by Spring Force
W=sconstrain⋅δ
​Go Acceleration of Body given Stiffness of Constraint
a=sconstrain⋅sbodyWattached
​Go Displacement of Body given Stiffness of Constraint
sbody=Wattached⋅asconstrain
​Go Angular Velocity of Free Longitudinal Vibrations
ω=sconstrainmspring

How to Evaluate Restoring Force using Weight of Body?

Restoring Force using Weight of Body evaluator uses Restoring Force = Weight of Body in Newtons-(Stiffness of Constraint*(Static Deflection+Displacement of Body)) to evaluate the Restoring Force, Restoring Force using Weight of Body formula is defined as the force that restores an object to its original position after it has been displaced from its equilibrium position, taking into account the weight of the body and the constraints acting on it, and is a crucial concept in understanding natural frequency of free longitudinal vibrations. Restoring Force is denoted by Fre symbol.

How to evaluate Restoring Force using Weight of Body using this online evaluator? To use this online evaluator for Restoring Force using Weight of Body, enter Weight of Body in Newtons (W), Stiffness of Constraint (sconstrain), Static Deflection (δ) & Displacement of Body (sbody) and hit the calculate button.

FAQs on Restoring Force using Weight of Body

What is the formula to find Restoring Force using Weight of Body?
The formula of Restoring Force using Weight of Body is expressed as Restoring Force = Weight of Body in Newtons-(Stiffness of Constraint*(Static Deflection+Displacement of Body)). Here is an example- -9.75 = 8-(13*(0.615384615+0.75)).
How to calculate Restoring Force using Weight of Body?
With Weight of Body in Newtons (W), Stiffness of Constraint (sconstrain), Static Deflection (δ) & Displacement of Body (sbody) we can find Restoring Force using Weight of Body using the formula - Restoring Force = Weight of Body in Newtons-(Stiffness of Constraint*(Static Deflection+Displacement of Body)).
What are the other ways to Calculate Restoring Force?
Here are the different ways to Calculate Restoring Force-
  • Restoring Force=-Stiffness of Constraint*Displacement of BodyOpenImg
Can the Restoring Force using Weight of Body be negative?
Yes, the Restoring Force using Weight of Body, measured in Force can be negative.
Which unit is used to measure Restoring Force using Weight of Body?
Restoring Force using Weight of Body is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Restoring Force using Weight of Body can be measured.
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