FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Potential Energy given Displacement of Body Formula

Fx Copy

LaTeX Copy

Potential Energy is the energy possessed by an object due to its position or state, particularly in free longitudinal vibrations. Check FAQs

PE = \frac{s constrain \cdot ({s body}^{2})}{2}

PE - Potential Energy?s_constrain - Stiffness of Constraint?s_body - Displacement of Body?

Potential Energy given Displacement of Body Example

With values

With units

Only example

Here is how the Potential Energy given Displacement of Body equation looks like with Values.

Here is how the Potential Energy given Displacement of Body equation looks like with Units.

Here is how the Potential Energy given Displacement of Body equation looks like.

3.6562 = \frac{13 \cdot ({0.75}^{2})}{2}

3.6562J = \frac{13N/m \cdot ({0.75m}^{2})}{2}

3.6562 = \frac{13 \cdot ({0.75}^{2})}{2}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Theory of Machine » fx Potential Energy given Displacement of Body

Potential Energy given Displacement of Body Solution

Follow our step by step solution on how to calculate Potential Energy given Displacement of Body?

FIRST Step Consider the formula

PE = \frac{s constrain \cdot ({s body}^{2})}{2}

Next Step Substitute values of Variables

∴

PE = \frac{13N/m \cdot ({0.75m}^{2})}{2}

Next Step Prepare to Evaluate

∴

PE = \frac{13 \cdot ({0.75}^{2})}{2}

Next Step Evaluate

∴

PE = 3.65625J

LAST Step Rounding Answer

∴

PE = 3.6562J

Potential Energy given Displacement of Body Formula Elements

Variables

Potential Energy

Potential Energy is the energy possessed by an object due to its position or state, particularly in free longitudinal vibrations.

Symbol: PE

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Potential Energy

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

Other formulas in Rayleigh’s Method category

Go Velocity at Mean Position

v = (ω f \cdot x) \cdot \cos (ω f \cdot t total)

Go Maximum Velocity at Mean Position by Rayleigh Method

V max = ω n \cdot x

Go Maximum Kinetic Energy at Mean Position

KE = \frac{W load \cdot {ω f}^{2} \cdot x^{2}}{2}

Go Maximum Potential Energy at Mean Position

PE max = \frac{s constrain \cdot x^{2}}{2}

How to Evaluate Potential Energy given Displacement of Body?

Potential Energy given Displacement of Body evaluator uses Potential Energy = (Stiffness of Constraint*(Displacement of Body^2))/2 to evaluate the Potential Energy, Potential Energy given Displacement of Body formula is defined as the energy an object possesses due to its position or state, specifically when it is displaced from its equilibrium position, and is a fundamental concept in understanding the behavior of objects in various physical systems. Potential Energy is denoted by PE symbol.

How to evaluate Potential Energy given Displacement of Body using this online evaluator? To use this online evaluator for Potential Energy given Displacement of Body, enter Stiffness of Constraint (s_constrain) & Displacement of Body (s_body) and hit the calculate button.

FAQs on Potential Energy given Displacement of Body

What is the formula to find Potential Energy given Displacement of Body?

The formula of Potential Energy given Displacement of Body is expressed as Potential Energy = (Stiffness of Constraint*(Displacement of Body^2))/2. Here is an example- 3.65625 = (13*(0.75^2))/2.

How to calculate Potential Energy given Displacement of Body?

With Stiffness of Constraint (s_constrain) & Displacement of Body (s_body) we can find Potential Energy given Displacement of Body using the formula - Potential Energy = (Stiffness of Constraint*(Displacement of Body^2))/2.

Can the Potential Energy given Displacement of Body be negative?

No, the Potential Energy given Displacement of Body, measured in Energy cannot be negative.

Which unit is used to measure Potential Energy given Displacement of Body?

Potential Energy given Displacement of Body is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Potential Energy given Displacement of Body can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit