Angular Velocity of Free Longitudinal Vibrations 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%
✖Mass suspended from spring is the amount of mass attached to the spring, affecting the natural frequency of free longitudinal vibrations of the spring.ⓘ Mass suspended from spring [m_spring]			+10% -10%

✖Angular Velocity is the rate of change of angular displacement of an object undergoing free longitudinal vibrations around a fixed axis.ⓘ Angular Velocity of Free Longitudinal Vibrations [ω]

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Angular Velocity of Free Longitudinal Vibrations Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Velocity = sqrt(Stiffness of Constraint/Mass suspended from spring)
ω = sqrt(s_constrain/m_spring)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Angular Velocity - (Measured in Radian per Second) - Angular Velocity is the rate of change of angular displacement of an object undergoing free longitudinal vibrations around a fixed axis.
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.
Mass suspended from spring - (Measured in Kilogram) - Mass suspended from spring is the amount of mass attached to the spring, affecting the natural frequency of free longitudinal vibrations of the spring.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Constraint: 13 Newton per Meter --> 13 Newton per Meter No Conversion Required
Mass suspended from spring: 0.25 Kilogram --> 0.25 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω = sqrt(s_constrain/m_spring) --> sqrt(13/0.25)

Evaluating ... ...

ω = 7.21110255092798

STEP 3: Convert Result to Output's Unit

7.21110255092798 Radian per Second --> No Conversion Required

FINAL ANSWER

7.21110255092798 ≈ 7.211103 Radian per Second <-- Angular Velocity

(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 » Equilibrium Method » Angular Velocity of Free Longitudinal Vibrations

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National Institute Of Technology (NIT), Hamirpur

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< Equilibrium Method Calculators

Acceleration of Body given Stiffness of Constraint

LaTeX Go Acceleration of Body = (Stiffness of Constraint*Displacement of Body)/Load Attached to Free End of Constraint

Displacement of Body given Stiffness of Constraint

LaTeX Go Displacement of Body = (Load Attached to Free End of Constraint*Acceleration of Body)/Stiffness of Constraint

Gravitational Pull Balanced by Spring Force

LaTeX Go Weight of Body in Newtons = Stiffness of Constraint*Static Deflection

Restoring Force

LaTeX Go Restoring Force = -Stiffness of Constraint*Displacement of Body

Angular Velocity of Free Longitudinal Vibrations Formula

LaTeX Go

Angular Velocity = sqrt(Stiffness of Constraint/Mass suspended from spring)
ω = sqrt(s_constrain/m_spring)

What is difference between longitudinal and transverse wave?

Transverse waves are always characterized by particle motion being perpendicular to wave motion. A longitudinal wave is a wave in which particles of the medium move in a direction parallel to the direction that the wave moves.

How to Calculate Angular Velocity of Free Longitudinal Vibrations?

Angular Velocity of Free Longitudinal Vibrations calculator uses Angular Velocity = sqrt(Stiffness of Constraint/Mass suspended from spring) to calculate the Angular Velocity, Angular Velocity of Free Longitudinal Vibrations formula is defined as a measure of the rate of oscillation of a freely vibrating longitudinal system, characterizing the natural frequency of the system in terms of its stiffness and mass. Angular Velocity is denoted by ω symbol.

How to calculate Angular Velocity of Free Longitudinal Vibrations using this online calculator? To use this online calculator for Angular Velocity of Free Longitudinal Vibrations, enter Stiffness of Constraint (s_constrain) & Mass suspended from spring (m_spring) and hit the calculate button. Here is how the Angular Velocity of Free Longitudinal Vibrations calculation can be explained with given input values -> 7.211103 = sqrt(13/0.25).

FAQ

What is Angular Velocity of Free Longitudinal Vibrations?

Angular Velocity of Free Longitudinal Vibrations formula is defined as a measure of the rate of oscillation of a freely vibrating longitudinal system, characterizing the natural frequency of the system in terms of its stiffness and mass and is represented as ω = sqrt(s_constrain/m_spring) or Angular Velocity = sqrt(Stiffness of Constraint/Mass suspended from spring). Stiffness of Constraint is the measure of the rigidity of a constraint in a system, affecting the natural frequency of free longitudinal vibrations & Mass suspended from spring is the amount of mass attached to the spring, affecting the natural frequency of free longitudinal vibrations of the spring.

How to calculate Angular Velocity of Free Longitudinal Vibrations?

Angular Velocity of Free Longitudinal Vibrations formula is defined as a measure of the rate of oscillation of a freely vibrating longitudinal system, characterizing the natural frequency of the system in terms of its stiffness and mass is calculated using Angular Velocity = sqrt(Stiffness of Constraint/Mass suspended from spring). To calculate Angular Velocity of Free Longitudinal Vibrations, you need Stiffness of Constraint (s_constrain) & Mass suspended from spring (m_spring). With our tool, you need to enter the respective value for Stiffness of Constraint & Mass suspended from spring and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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