FormulaDen.com

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

Maximum Potential Energy at Mean Position Formula

Fx Copy

LaTeX Copy

Maximum Potential Energy is the highest energy an object can store when vibrating freely at its natural frequency in a longitudinal direction. Check FAQs

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

PE_max - Maximum Potential Energy?s_constrain - Stiffness of Constraint?x - Maximum Displacement?

Maximum Potential Energy at Mean Position Example

With values

With units

Only example

Here is how the Maximum Potential Energy at Mean Position equation looks like with Values.

Here is how the Maximum Potential Energy at Mean Position equation looks like with Units.

Here is how the Maximum Potential Energy at Mean Position equation looks like.

10.1562 = \frac{13 \cdot {1.25}^{2}}{2}

10.1562J = \frac{13N/m \cdot {1.25m}^{2}}{2}

10.1562 = \frac{13 \cdot {1.25}^{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 Maximum Potential Energy at Mean Position

Maximum Potential Energy at Mean Position Solution

Follow our step by step solution on how to calculate Maximum Potential Energy at Mean Position?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

PE max = \frac{13N/m \cdot {1.25m}^{2}}{2}

Next Step Prepare to Evaluate

∴

PE max = \frac{13 \cdot {1.25}^{2}}{2}

Next Step Evaluate

∴

PE max = 10.15625J

LAST Step Rounding Answer

∴

PE max = 10.1562J

Maximum Potential Energy at Mean Position Formula Elements

Variables

Maximum Potential Energy

Maximum Potential Energy is the highest energy an object can store when vibrating freely at its natural frequency in a longitudinal direction.

Symbol: PE_max

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Maximum 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

Maximum Displacement

Maximum Displacement is the highest distance an object moves from its mean position during free longitudinal vibrations at its natural frequency.

Symbol: x

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Maximum Displacement

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 Displacement from Mean Position given Maximum Potential Energy

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

How to Evaluate Maximum Potential Energy at Mean Position?

Maximum Potential Energy at Mean Position evaluator uses Maximum Potential Energy = (Stiffness of Constraint*Maximum Displacement^2)/2 to evaluate the Maximum Potential Energy, Maximum Potential Energy at Mean Position formula is defined as the highest energy an object can store at its mean position, typically observed in oscillating systems, where the energy is converted between kinetic and potential forms, and is a crucial concept in understanding the dynamics of vibrational motion. Maximum Potential Energy is denoted by PE_max symbol.

How to evaluate Maximum Potential Energy at Mean Position using this online evaluator? To use this online evaluator for Maximum Potential Energy at Mean Position, enter Stiffness of Constraint (s_constrain) & Maximum Displacement (x) and hit the calculate button.

FAQs on Maximum Potential Energy at Mean Position

What is the formula to find Maximum Potential Energy at Mean Position?

The formula of Maximum Potential Energy at Mean Position is expressed as Maximum Potential Energy = (Stiffness of Constraint*Maximum Displacement^2)/2. Here is an example- 10.15625 = (13*1.25^2)/2.

How to calculate Maximum Potential Energy at Mean Position?

With Stiffness of Constraint (s_constrain) & Maximum Displacement (x) we can find Maximum Potential Energy at Mean Position using the formula - Maximum Potential Energy = (Stiffness of Constraint*Maximum Displacement^2)/2.

Can the Maximum Potential Energy at Mean Position be negative?

No, the Maximum Potential Energy at Mean Position, measured in Energy cannot be negative.

Which unit is used to measure Maximum Potential Energy at Mean Position?

Maximum Potential Energy at Mean Position is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Maximum Potential Energy at Mean Position can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Maximum Potential Energy at Mean Position Formula

Maximum Potential Energy at Mean Position Example

Maximum Potential Energy at Mean Position Solution

Maximum Potential Energy at Mean Position Formula Elements

Other formulas in Rayleigh’s Method category

How to Evaluate Maximum Potential Energy at Mean Position?

FAQs on Maximum Potential Energy at Mean Position

Variable Name