Restoring Force using Weight of Body Calculator

✖Weight of Body in Newtons is the force exerted on an object by gravity, measured in Newtons, during free longitudinal vibrations.ⓘ Weight of Body in Newtons [W]			+10% -10%
✖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%
✖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.ⓘ Static Deflection [δ]			+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 using Weight of Body [F_re]

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Restoring Force using Weight of Body Solution

STEP 0: Pre-Calculation Summary

Formula Used

Restoring Force = Weight of Body in Newtons-(Stiffness of Constraint*(Static Deflection+Displacement of Body))
F_re = W-(s_constrain*(δ+s_body))
This formula uses 5 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.
Weight of Body in Newtons - (Measured in Newton) - Weight of Body in Newtons is the force exerted on an object by gravity, measured in Newtons, 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.
Static Deflection - (Measured in Meter) - 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.
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

Weight of Body in Newtons: 8 Newton --> 8 Newton No Conversion Required
Stiffness of Constraint: 13 Newton per Meter --> 13 Newton per Meter No Conversion Required
Static Deflection: 0.615384615 Meter --> 0.615384615 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 = W-(s_constrain*(δ+s_body)) --> 8-(13*(0.615384615+0.75))

Evaluating ... ...

F_re = -9.749999995

STEP 3: Convert Result to Output's Unit

-9.749999995 Newton --> No Conversion Required

FINAL ANSWER

-9.749999995 ≈ -9.75 Newton <-- Restoring 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 » Mechanical » Equilibrium Method » Restoring Force using Weight of Body

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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 using Weight of Body Formula

LaTeX Go

Restoring Force = Weight of Body in Newtons-(Stiffness of Constraint*(Static Deflection+Displacement of Body))
F_re = W-(s_constrain*(δ+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 using Weight of Body?

Restoring Force using Weight of Body calculator uses Restoring Force = Weight of Body in Newtons-(Stiffness of Constraint*(Static Deflection+Displacement of Body)) to calculate 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 F_re symbol.

How to calculate Restoring Force using Weight of Body using this online calculator? To use this online calculator for Restoring Force using Weight of Body, enter Weight of Body in Newtons (W), Stiffness of Constraint (s_constrain), Static Deflection (δ) & Displacement of Body (s_body) and hit the calculate button. Here is how the Restoring Force using Weight of Body calculation can be explained with given input values -> -9.75 = 8-(13*(0.615384615+0.75)).

FAQ

What is Restoring Force using Weight of Body?

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 and is represented as F_re = W-(s_constrain*(δ+s_body)) or Restoring Force = Weight of Body in Newtons-(Stiffness of Constraint*(Static Deflection+Displacement of Body)). Weight of Body in Newtons is the force exerted on an object by gravity, measured in Newtons, during free longitudinal vibrations, Stiffness of Constraint is the measure of the rigidity of a constraint in a system, affecting the natural frequency of free longitudinal vibrations, 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 & Displacement of Body is the maximum distance moved by an object from its mean position during free longitudinal vibrations.

How to calculate Restoring Force using Weight of Body?

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 is calculated using Restoring Force = Weight of Body in Newtons-(Stiffness of Constraint*(Static Deflection+Displacement of Body)). To calculate Restoring Force using Weight of Body, you need Weight of Body in Newtons (W), Stiffness of Constraint (s_constrain), Static Deflection (δ) & Displacement of Body (s_body). With our tool, you need to enter the respective value for Weight of Body in Newtons, Stiffness of Constraint, Static Deflection & 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 Weight of Body in Newtons, Stiffness of Constraint, Static Deflection & Displacement of Body. We can use 1 other way(s) to calculate the same, which is/are as follows -

Restoring Force = -Stiffness of Constraint*Displacement of Body

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