Natural Circular Frequency given Maximum Velocity at Mean Position Calculator

✖Maximum Velocity is the highest speed achieved by an object undergoing free longitudinal vibrations, typically occurring at the natural frequency of the system.ⓘ Maximum Velocity [V_max]			+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%

✖Natural Circular Frequency is the number of oscillations or cycles per unit time of a free longitudinal vibration in a mechanical system.ⓘ Natural Circular Frequency given Maximum Velocity at Mean Position [ω_n]

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Natural Circular Frequency given Maximum Velocity at Mean Position Solution

STEP 0: Pre-Calculation Summary

Formula Used

Natural Circular Frequency = Maximum Velocity/Maximum Displacement
ω_n = V_max/x
This formula uses 3 Variables

Variables Used

Natural Circular Frequency - (Measured in Radian per Second) - Natural Circular Frequency is the number of oscillations or cycles per unit time of a free longitudinal vibration in a mechanical system.
Maximum Velocity - (Measured in Meter per Second) - Maximum Velocity is the highest speed achieved by an object undergoing free longitudinal vibrations, typically occurring at the natural frequency of the system.
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

Maximum Velocity: 26.2555 Meter per Second --> 26.2555 Meter per Second No Conversion Required
Maximum Displacement: 1.25 Meter --> 1.25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω_n = V_max/x --> 26.2555/1.25

Evaluating ... ...

ω_n = 21.0044

STEP 3: Convert Result to Output's Unit

21.0044 Radian per Second --> No Conversion Required

FINAL ANSWER

21.0044 Radian per Second <-- Natural Circular Frequency

(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 » Rayleigh’s Method » Natural Circular Frequency given Maximum Velocity at Mean Position

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National Institute Of Technology (NIT), Hamirpur

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< 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

Natural Circular Frequency given Maximum Velocity at Mean Position Formula

LaTeX Go

Natural Circular Frequency = Maximum Velocity/Maximum Displacement
ω_n = V_max/x

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 Natural Circular Frequency given Maximum Velocity at Mean Position?

Natural Circular Frequency given Maximum Velocity at Mean Position calculator uses Natural Circular Frequency = Maximum Velocity/Maximum Displacement to calculate the Natural Circular Frequency, Natural Circular Frequency given Maximum Velocity at Mean Position formula is defined as a measure of the natural frequency of free longitudinal vibrations, which is a fundamental property of a vibrating system, characterizing its oscillatory behavior, and is essential in understanding and analyzing the dynamic response of mechanical systems. Natural Circular Frequency is denoted by ω_n symbol.

How to calculate Natural Circular Frequency given Maximum Velocity at Mean Position using this online calculator? To use this online calculator for Natural Circular Frequency given Maximum Velocity at Mean Position, enter Maximum Velocity (V_max) & Maximum Displacement (x) and hit the calculate button. Here is how the Natural Circular Frequency given Maximum Velocity at Mean Position calculation can be explained with given input values -> 21.0044 = 26.2555/1.25.

FAQ

What is Natural Circular Frequency given Maximum Velocity at Mean Position?

Natural Circular Frequency given Maximum Velocity at Mean Position formula is defined as a measure of the natural frequency of free longitudinal vibrations, which is a fundamental property of a vibrating system, characterizing its oscillatory behavior, and is essential in understanding and analyzing the dynamic response of mechanical systems and is represented as ω_n = V_max/x or Natural Circular Frequency = Maximum Velocity/Maximum Displacement. Maximum Velocity is the highest speed achieved by an object undergoing free longitudinal vibrations, typically occurring at the natural frequency of the system & Maximum Displacement is the highest distance an object moves from its mean position during free longitudinal vibrations at its natural frequency.

How to calculate Natural Circular Frequency given Maximum Velocity at Mean Position?

Natural Circular Frequency given Maximum Velocity at Mean Position formula is defined as a measure of the natural frequency of free longitudinal vibrations, which is a fundamental property of a vibrating system, characterizing its oscillatory behavior, and is essential in understanding and analyzing the dynamic response of mechanical systems is calculated using Natural Circular Frequency = Maximum Velocity/Maximum Displacement. To calculate Natural Circular Frequency given Maximum Velocity at Mean Position, you need Maximum Velocity (V_max) & Maximum Displacement (x). With our tool, you need to enter the respective value for Maximum Velocity & Maximum Displacement and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Natural Circular Frequency?

In this formula, Natural Circular Frequency uses Maximum Velocity & Maximum Displacement. We can use 1 other way(s) to calculate the same, which is/are as follows -

Natural Circular Frequency = (2*pi)/Time Period

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