Displacement of Body given Stiffness of Constraint Calculator

✖Load Attached to Free End of Constraint is the force exerted on the free end of a constraint, affecting natural frequency of free longitudinal vibrations.ⓘ Load Attached to Free End of Constraint [W_attached]			+10% -10%
✖Acceleration of Body is the rate of change of velocity of an object in free longitudinal vibrations, measured in meters per second squared.ⓘ Acceleration of Body [a]			+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%

✖Displacement of Body is the maximum distance moved by an object from its mean position during free longitudinal vibrations.ⓘ Displacement of Body given Stiffness of Constraint [s_body]

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Displacement of Body given Stiffness of Constraint Solution

STEP 0: Pre-Calculation Summary

Formula Used

Displacement of Body = (Load Attached to Free End of Constraint*Acceleration of Body)/Stiffness of Constraint
s_body = (W_attached*a)/s_constrain
This formula uses 4 Variables

Variables Used

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.
Load Attached to Free End of Constraint - (Measured in Kilogram) - Load Attached to Free End of Constraint is the force exerted on the free end of a constraint, affecting natural frequency of free longitudinal vibrations.
Acceleration of Body - (Measured in Meter per Square Second) - Acceleration of Body is the rate of change of velocity of an object in free longitudinal vibrations, measured in meters per second squared.
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.

STEP 1: Convert Input(s) to Base Unit

Load Attached to Free End of Constraint: 0.52 Kilogram --> 0.52 Kilogram No Conversion Required
Acceleration of Body: 18.75 Meter per Square Second --> 18.75 Meter per Square Second No Conversion Required
Stiffness of Constraint: 13 Newton per Meter --> 13 Newton per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

s_body = (W_attached*a)/s_constrain --> (0.52*18.75)/13

Evaluating ... ...

s_body = 0.75

STEP 3: Convert Result to Output's Unit

0.75 Meter --> No Conversion Required

FINAL ANSWER

0.75 Meter <-- Displacement of Body

(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 » Displacement of Body given Stiffness of Constraint

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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

Displacement of Body given Stiffness of Constraint Formula

LaTeX Go

Displacement of Body = (Load Attached to Free End of Constraint*Acceleration of Body)/Stiffness of Constraint
s_body = (W_attached*a)/s_constrain

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 Displacement of Body given Stiffness of Constraint?

Displacement of Body given Stiffness of Constraint calculator uses Displacement of Body = (Load Attached to Free End of Constraint*Acceleration of Body)/Stiffness of Constraint to calculate the Displacement of Body, Displacement of Body given Stiffness of Constraint formula is defined as a measure of the distance moved by a body from its equilibrium position when a force is applied, taking into account the stiffness of the constraint that opposes the motion, which is essential in understanding the natural frequency of free longitudinal vibrations. Displacement of Body is denoted by s_body symbol.

How to calculate Displacement of Body given Stiffness of Constraint using this online calculator? To use this online calculator for Displacement of Body given Stiffness of Constraint, enter Load Attached to Free End of Constraint (W_attached), Acceleration of Body (a) & Stiffness of Constraint (s_constrain) and hit the calculate button. Here is how the Displacement of Body given Stiffness of Constraint calculation can be explained with given input values -> 0.192 = (0.52*18.75)/13.

FAQ

What is Displacement of Body given Stiffness of Constraint?

Displacement of Body given Stiffness of Constraint formula is defined as a measure of the distance moved by a body from its equilibrium position when a force is applied, taking into account the stiffness of the constraint that opposes the motion, which is essential in understanding the natural frequency of free longitudinal vibrations and is represented as s_body = (W_attached*a)/s_constrain or Displacement of Body = (Load Attached to Free End of Constraint*Acceleration of Body)/Stiffness of Constraint. Load Attached to Free End of Constraint is the force exerted on the free end of a constraint, affecting natural frequency of free longitudinal vibrations, Acceleration of Body is the rate of change of velocity of an object in free longitudinal vibrations, measured in meters per second squared & Stiffness of Constraint is the measure of the rigidity of a constraint in a system, affecting the natural frequency of free longitudinal vibrations.

How to calculate Displacement of Body given Stiffness of Constraint?

Displacement of Body given Stiffness of Constraint formula is defined as a measure of the distance moved by a body from its equilibrium position when a force is applied, taking into account the stiffness of the constraint that opposes the motion, which is essential in understanding the natural frequency of free longitudinal vibrations is calculated using Displacement of Body = (Load Attached to Free End of Constraint*Acceleration of Body)/Stiffness of Constraint. To calculate Displacement of Body given Stiffness of Constraint, you need Load Attached to Free End of Constraint (W_attached), Acceleration of Body (a) & Stiffness of Constraint (s_constrain). With our tool, you need to enter the respective value for Load Attached to Free End of Constraint, Acceleration of Body & Stiffness of Constraint and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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