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Acceleration of Body given Stiffness of Constraint Formula

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Acceleration of Body is the rate of change of velocity of an object in free longitudinal vibrations, measured in meters per second squared. Check FAQs

a = \frac{s constrain \cdot s body}{W attached}

a - Acceleration of Body?s_constrain - Stiffness of Constraint?s_body - Displacement of Body?W_attached - Load Attached to Free End of Constraint?

Acceleration of Body given Stiffness of Constraint Example

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Here is how the Acceleration of Body given Stiffness of Constraint equation looks like with Values.

Here is how the Acceleration of Body given Stiffness of Constraint equation looks like with Units.

Here is how the Acceleration of Body given Stiffness of Constraint equation looks like.

18.75 = \frac{13 \cdot 0.75}{0.52}

18.75m/s² = \frac{13N/m \cdot 0.75m}{0.52kg}

18.75 = \frac{13 \cdot 0.75}{0.52}

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Acceleration of Body given Stiffness of Constraint Solution

Follow our step by step solution on how to calculate Acceleration of Body given Stiffness of Constraint?

FIRST Step Consider the formula

a = \frac{s constrain \cdot s body}{W attached}

Next Step Substitute values of Variables

∴

a = \frac{13N/m \cdot 0.75m}{0.52kg}

Next Step Prepare to Evaluate

∴

a = \frac{13 \cdot 0.75}{0.52}

LAST Step Evaluate

∴

a = 18.75m/s²

Acceleration of Body given Stiffness of Constraint Formula Elements

Variables

Acceleration of Body

Acceleration of Body is the rate of change of velocity of an object in free longitudinal vibrations, measured in meters per second squared.

Symbol: a

Measurement: AccelerationUnit: m/s²

Note: Value can be positive or negative.

Formulas to find Acceleration of Body

Stiffness of Constraint

Stiffness of Constraint is the measure of the rigidity of a constraint in a system, affecting the natural frequency of free longitudinal vibrations.

Symbol: s_constrain

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Stiffness of Constraint

Displacement of Body

Displacement of Body is the maximum distance moved by an object from its mean position during free longitudinal vibrations.

Symbol: s_body

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Displacement of Body

Load Attached to Free End 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.

Symbol: W_attached

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Load Attached to Free End of Constraint

Other formulas in Equilibrium Method category

Go Gravitational Pull Balanced by Spring Force

W = s constrain \cdot δ

Go Restoring Force

F re = - s constrain \cdot s body

Go Displacement of Body given Stiffness of Constraint

s body = \frac{W attached \cdot a}{s constrain}

Go Angular Velocity of Free Longitudinal Vibrations

ω = \sqrt{\frac{s constrain}{m spring}}

How to Evaluate Acceleration of Body given Stiffness of Constraint?

Acceleration of Body given Stiffness of Constraint evaluator uses Acceleration of Body = (Stiffness of Constraint*Displacement of Body)/Load Attached to Free End of Constraint to evaluate the Acceleration of Body, Acceleration of Body given Stiffness of Constraint formula is defined as a measure of the rate of change of velocity of an object under the influence of a constraining force, providing insight into the dynamic behavior of the system in natural frequency of free longitudinal vibrations. Acceleration of Body is denoted by a symbol.

How to evaluate Acceleration of Body given Stiffness of Constraint using this online evaluator? To use this online evaluator for Acceleration of Body given Stiffness of Constraint, enter Stiffness of Constraint (s_constrain), Displacement of Body (s_body) & Load Attached to Free End of Constraint (W_attached) and hit the calculate button.

FAQs on Acceleration of Body given Stiffness of Constraint

What is the formula to find Acceleration of Body given Stiffness of Constraint?

The formula of Acceleration of Body given Stiffness of Constraint is expressed as Acceleration of Body = (Stiffness of Constraint*Displacement of Body)/Load Attached to Free End of Constraint. Here is an example- 18.75 = (13*0.75)/0.52.

How to calculate Acceleration of Body given Stiffness of Constraint?

With Stiffness of Constraint (s_constrain), Displacement of Body (s_body) & Load Attached to Free End of Constraint (W_attached) we can find Acceleration of Body given Stiffness of Constraint using the formula - Acceleration of Body = (Stiffness of Constraint*Displacement of Body)/Load Attached to Free End of Constraint.

Can the Acceleration of Body given Stiffness of Constraint be negative?

Yes, the Acceleration of Body given Stiffness of Constraint, measured in Acceleration can be negative.

Which unit is used to measure Acceleration of Body given Stiffness of Constraint?

Acceleration of Body given Stiffness of Constraint is usually measured using the Meter per Square Second[m/s²] for Acceleration. Kilometer per Square Second[m/s²], Micrometer per Square Second[m/s²], Mile per Square Second[m/s²] are the few other units in which Acceleration of Body given Stiffness of Constraint can be measured.

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