Maximum Potential Energy at Mean Position Calculator

✖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%
✖Maximum Displacement is the highest distance an object moves from its mean position during free longitudinal vibrations at its natural frequency.ⓘ Maximum Displacement [x]			+10% -10%

✖Maximum Potential Energy is the highest energy an object can store when vibrating freely at its natural frequency in a longitudinal direction.ⓘ Maximum Potential Energy at Mean Position [PE_max]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Rayleigh’s Method Formulas PDF PDF Image

Maximum Potential Energy at Mean Position Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Potential Energy = (Stiffness of Constraint*Maximum Displacement^2)/2
PE_max = (s_constrain*x^2)/2
This formula uses 3 Variables

Variables Used

Maximum Potential Energy - (Measured in Joule) - Maximum Potential Energy is the highest energy an object can store when vibrating freely at its natural frequency in a longitudinal direction.
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.
Maximum Displacement - (Measured in Meter) - Maximum Displacement is the highest distance an object moves from its mean position during free longitudinal vibrations at its natural frequency.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Constraint: 13 Newton per Meter --> 13 Newton per Meter No Conversion Required
Maximum Displacement: 1.25 Meter --> 1.25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

PE_max = (s_constrain*x^2)/2 --> (13*1.25^2)/2

Evaluating ... ...

PE_max = 10.15625

STEP 3: Convert Result to Output's Unit

10.15625 Joule --> No Conversion Required

FINAL ANSWER

10.15625 Joule <-- Maximum Potential Energy

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Theory of Machine » Vibrations » Longitudinal and Transverse Vibrations » Natural Frequency of Free Longitudinal Vibrations » Mechanical » Rayleigh’s Method » Maximum Potential Energy at Mean Position

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< Rayleigh’s Method Calculators

Velocity at Mean Position

LaTeX Go Velocity = (Cumulative Frequency*Maximum Displacement)*cos(Cumulative Frequency*Total Time Taken)

Maximum Kinetic Energy at Mean Position

LaTeX Go Maximum Kinetic Energy = (Load*Cumulative Frequency^2*Maximum Displacement^2)/2

Maximum Potential Energy at Mean Position

LaTeX Go Maximum Potential Energy = (Stiffness of Constraint*Maximum Displacement^2)/2

Maximum Velocity at Mean Position by Rayleigh Method

LaTeX Go Maximum Velocity = Natural Circular Frequency*Maximum Displacement

Maximum Potential Energy at Mean Position Formula

LaTeX Go

Maximum Potential Energy = (Stiffness of Constraint*Maximum Displacement^2)/2
PE_max = (s_constrain*x^2)/2

What is Rayleigh's method in vibration analysis?

Rayleigh's quotient represents a quick method to estimate the natural frequency of a multi-degree-of-freedom vibration system, in which the mass and the stiffness matrices are known.

How to Calculate Maximum Potential Energy at Mean Position?

Maximum Potential Energy at Mean Position calculator uses Maximum Potential Energy = (Stiffness of Constraint*Maximum Displacement^2)/2 to calculate 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 calculate Maximum Potential Energy at Mean Position using this online calculator? To use this online calculator for Maximum Potential Energy at Mean Position, enter Stiffness of Constraint (s_constrain) & Maximum Displacement (x) and hit the calculate button. Here is how the Maximum Potential Energy at Mean Position calculation can be explained with given input values -> 10.15625 = (13*1.25^2)/2.

FAQ

What is Maximum Potential Energy at Mean Position?

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 and is represented as PE_max = (s_constrain*x^2)/2 or Maximum Potential Energy = (Stiffness of Constraint*Maximum Displacement^2)/2. Stiffness of Constraint is the measure of the rigidity of a constraint in a system, affecting the natural frequency of free longitudinal vibrations & Maximum Displacement is the highest distance an object moves from its mean position during free longitudinal vibrations at its natural frequency.

How to calculate Maximum Potential Energy at Mean Position?

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 is calculated using Maximum Potential Energy = (Stiffness of Constraint*Maximum Displacement^2)/2. To calculate Maximum Potential Energy at Mean Position, you need Stiffness of Constraint (s_constrain) & Maximum Displacement (x). With our tool, you need to enter the respective value for Stiffness of Constraint & Maximum Displacement and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search