Restoring Force Calculator

✖Stiffness of Constraint is the measure of the rigidity of a constraint in a system, affecting the natural frequency of free longitudinal vibrations.ⓘ Stiffness of Constraint [s_constrain]			+10% -10%
✖Displacement of Body is the maximum distance moved by an object from its mean position during free longitudinal vibrations.ⓘ Displacement of Body [s_body]			+10% -10%

✖Restoring Force is the force that tends to restore an object to its original position during free longitudinal vibrations.ⓘ Restoring Force [F_re]

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Restoring Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Restoring Force = -Stiffness of Constraint*Displacement of Body
F_re = -s_constrain*s_body
This formula uses 3 Variables

Variables Used

Restoring Force - (Measured in Newton) - Restoring Force is the force that tends to restore an object to its original position during free longitudinal vibrations.
Stiffness of Constraint - (Measured in Newton per Meter) - Stiffness of Constraint is the measure of the rigidity of a constraint in a system, affecting the natural frequency of free longitudinal vibrations.
Displacement of Body - (Measured in Meter) - Displacement of Body is the maximum distance moved by an object from its mean position during free longitudinal vibrations.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Constraint: 13 Newton per Meter --> 13 Newton per Meter No Conversion Required
Displacement of Body: 0.75 Meter --> 0.75 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_re = -s_constrain*s_body --> -13*0.75

Evaluating ... ...

F_re = -9.75

STEP 3: Convert Result to Output's Unit

-9.75 Newton --> No Conversion Required

FINAL ANSWER

-9.75 Newton <-- Restoring Force

(Calculation completed in 00.020 seconds)

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Home » Physics » Theory of Machine » Vibrations » Longitudinal and Transverse Vibrations » Natural Frequency of Free Longitudinal Vibrations » Mechanical » Equilibrium Method » Restoring Force

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< Equilibrium Method Calculators

Acceleration of Body given Stiffness of Constraint

LaTeX Go Acceleration of Body = (Stiffness of Constraint*Displacement of Body)/Load Attached to Free End of Constraint

Displacement of Body given Stiffness of Constraint

LaTeX Go Displacement of Body = (Load Attached to Free End of Constraint*Acceleration of Body)/Stiffness of Constraint

Gravitational Pull Balanced by Spring Force

LaTeX Go Weight of Body in Newtons = Stiffness of Constraint*Static Deflection

Restoring Force

LaTeX Go Restoring Force = -Stiffness of Constraint*Displacement of Body

Restoring Force Formula

LaTeX Go

Restoring Force = -Stiffness of Constraint*Displacement of Body
F_re = -s_constrain*s_body

What is difference between longitudinal and transverse wave?

Transverse waves are always characterized by particle motion being perpendicular to wave motion. A longitudinal wave is a wave in which particles of the medium move in a direction parallel to the direction that the wave moves.

How to Calculate Restoring Force?

Restoring Force calculator uses Restoring Force = -Stiffness of Constraint*Displacement of Body to calculate 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 calculate Restoring Force using this online calculator? To use this online calculator for Restoring Force, enter Stiffness of Constraint (s_constrain) & Displacement of Body (s_body) and hit the calculate button. Here is how the Restoring Force calculation can be explained with given input values -> -9.75 = -13*0.75.

FAQ

What is 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 and is represented as F_re = -s_constrain*s_body or Restoring Force = -Stiffness of Constraint*Displacement of Body. Stiffness of Constraint is the measure of the rigidity of a constraint in a system, affecting the natural frequency of free longitudinal vibrations & Displacement of Body is the maximum distance moved by an object from its mean position during free longitudinal vibrations.

How to calculate 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 is calculated using Restoring Force = -Stiffness of Constraint*Displacement of Body. To calculate Restoring Force, you need Stiffness of Constraint (s_constrain) & Displacement of Body (s_body). With our tool, you need to enter the respective value for Stiffness of Constraint & Displacement of Body and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Restoring Force?

In this formula, Restoring Force uses Stiffness of Constraint & Displacement of Body. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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