Restoring Force Calculator

✖Stiffness of Constraint is the force required to produce unit displacement in the direction of vibration.ⓘ Stiffness of Constraint [s_constrain]			+10% -10%
✖Displacement of Body is defined to be the change in position of an object.ⓘ Displacement of Body [s_body]			+10% -10%

✖Force is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.ⓘ Restoring Force [F]

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Formula

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Restoring Force

Formula

`"F" = -"s"_{"constrain"}*"s"_{"body"}`

Example

`"-9.75N"=-"13N/m"*"0.75m"`

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Download Natural Frequency of Free Longitudinal Vibrations Formula PDF PDF Image

Restoring Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Force - (Measured in Newton) - Force is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.
Stiffness of Constraint - (Measured in Newton per Meter) - Stiffness of Constraint is the force required to produce unit displacement in the direction of vibration.
Displacement of Body - (Measured in Meter) - Displacement of Body is defined to be the change in position of an object.

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

Evaluating ... ...

F = -9.75

STEP 3: Convert Result to Output's Unit

-9.75 Newton --> No Conversion Required

FINAL ANSWER

-9.75 Newton <-- Force

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Vibrations » Longitudinal and Transverse Vibrations » Natural Frequency of Free Longitudinal Vibrations » 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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< 12 Equilibrium Method Calculators

Load Attached to Free End of Constraint

Go Weight of Body in Newtons = (Static Deflection*Young's Modulus*Cross Sectional Area)/Length of Constraint

Length of Constraint

Go Length of Constraint = (Static Deflection*Young's Modulus*Cross Sectional Area)/Weight of Body in Newtons

Restoring Force using Weight of Body

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

Acceleration of Body given Stiffness of Constraint

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

Displacement of Body given Stiffness of Constraint

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

Time Period of Free Longitudinal Vibrations

Go Time Period = 2*pi*sqrt(Weight of Body in Newtons/Stiffness of Constraint)

Angular Velocity of Free Longitudinal Vibrations

Go Natural Circular Frequency = sqrt(Stiffness of Constraint/Mass suspended from spring)

Critical Damping Coefficient given Spring Constant

Go Critical Damping Coefficient = 2*sqrt(Spring Constant/Mass suspended from spring)

Static Deflection given Natural Frequency

Go Static Deflection = (Acceleration due to Gravity)/((2*pi*Frequency)^2)

Gravitational Pull Balanced by Spring Force

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

Restoring Force

Go Force = -Stiffness of Constraint*Displacement of Body

Young's Modulus

Go Young's Modulus = Stress/Strain

Restoring Force Formula

Force = -Stiffness of Constraint*Displacement of Body
F = -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 Force = -Stiffness of Constraint*Displacement of Body to calculate the Force, The Restoring force formula is defined as the product of Stiffness and Static deflection. Force is denoted by F 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?

The Restoring force formula is defined as the product of Stiffness and Static deflection and is represented as F = -s_constrain*s_body or Force = -Stiffness of Constraint*Displacement of Body. Stiffness of Constraint is the force required to produce unit displacement in the direction of vibration & Displacement of Body is defined to be the change in position of an object.

How to calculate Restoring Force?

The Restoring force formula is defined as the product of Stiffness and Static deflection is calculated using 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 Force?

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

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

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