Gravitational Pull Balanced by Spring 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%
✖Static deflection is the extension or compression of the constraint.ⓘ Static Deflection [δ]			+10% -10%

✖Weight of Body in Newtons is the force with which a body is pulled toward the earth.ⓘ Gravitational Pull Balanced by Spring Force [W]

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Formula

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Gravitational Pull Balanced by Spring Force

Formula

`"W" = "s"_{"constrain"}*"δ"`

Example

`"0.936N"="13N/m"*"0.072m"`

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Gravitational Pull Balanced by Spring Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Weight of Body in Newtons = Stiffness of Constraint*Static Deflection
W = s_constrain*δ
This formula uses 3 Variables

Variables Used

Weight of Body in Newtons - (Measured in Newton) - Weight of Body in Newtons is the force with which a body is pulled toward the earth.
Stiffness of Constraint - (Measured in Newton per Meter) - Stiffness of Constraint is the force required to produce unit displacement in the direction of vibration.
Static Deflection - (Measured in Meter) - Static deflection is the extension or compression of the constraint.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Constraint: 13 Newton per Meter --> 13 Newton per Meter No Conversion Required
Static Deflection: 0.072 Meter --> 0.072 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = s_constrain*δ --> 13*0.072

Evaluating ... ...

W = 0.936

STEP 3: Convert Result to Output's Unit

0.936 Newton --> No Conversion Required

FINAL ANSWER

0.936 Newton <-- Weight of Body in Newtons

(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 » Gravitational Pull Balanced by Spring Force

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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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

Gravitational Pull Balanced by Spring Force Formula

Weight of Body in Newtons = Stiffness of Constraint*Static Deflection
W = s_constrain*δ

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 Gravitational Pull Balanced by Spring Force?

Gravitational Pull Balanced by Spring Force calculator uses Weight of Body in Newtons = Stiffness of Constraint*Static Deflection to calculate the Weight of Body in Newtons, The Gravitational Pull Balanced by Spring Force formula is defined as the force applied by spring or constraint to balance the gravitational pull. Weight of Body in Newtons is denoted by W symbol.

How to calculate Gravitational Pull Balanced by Spring Force using this online calculator? To use this online calculator for Gravitational Pull Balanced by Spring Force, enter Stiffness of Constraint (s_constrain) & Static Deflection (δ) and hit the calculate button. Here is how the Gravitational Pull Balanced by Spring Force calculation can be explained with given input values -> 0.936 = 13*0.072.

FAQ

What is Gravitational Pull Balanced by Spring Force?

The Gravitational Pull Balanced by Spring Force formula is defined as the force applied by spring or constraint to balance the gravitational pull and is represented as W = s_constrain*δ or Weight of Body in Newtons = Stiffness of Constraint*Static Deflection. Stiffness of Constraint is the force required to produce unit displacement in the direction of vibration & Static deflection is the extension or compression of the constraint.

How to calculate Gravitational Pull Balanced by Spring Force?

The Gravitational Pull Balanced by Spring Force formula is defined as the force applied by spring or constraint to balance the gravitational pull is calculated using Weight of Body in Newtons = Stiffness of Constraint*Static Deflection. To calculate Gravitational Pull Balanced by Spring Force, you need Stiffness of Constraint (s_constrain) & Static Deflection (δ). With our tool, you need to enter the respective value for Stiffness of Constraint & Static Deflection 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 Weight of Body in Newtons?

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

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

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