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Angular Velocity of Free Longitudinal Vibrations Formula

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Angular Velocity is the rate of change of angular displacement of an object undergoing free longitudinal vibrations around a fixed axis. Check FAQs

ω = \sqrt{\frac{s constrain}{m spring}}

ω - Angular Velocity?s_constrain - Stiffness of Constraint?m_spring - Mass suspended from spring?

Angular Velocity of Free Longitudinal Vibrations Example

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Here is how the Angular Velocity of Free Longitudinal Vibrations equation looks like with Values.

Here is how the Angular Velocity of Free Longitudinal Vibrations equation looks like with Units.

Here is how the Angular Velocity of Free Longitudinal Vibrations equation looks like.

7.2111 = \sqrt{\frac{13}{0.25}}

7.2111rad/s = \sqrt{\frac{13N/m}{0.25kg}}

7.2111 = \sqrt{\frac{13}{0.25}}

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Angular Velocity of Free Longitudinal Vibrations Solution

Follow our step by step solution on how to calculate Angular Velocity of Free Longitudinal Vibrations?

FIRST Step Consider the formula

ω = \sqrt{\frac{s constrain}{m spring}}

Next Step Substitute values of Variables

∴

ω = \sqrt{\frac{13N/m}{0.25kg}}

Next Step Prepare to Evaluate

∴

ω = \sqrt{\frac{13}{0.25}}

Next Step Evaluate

∴

ω = 7.21110255092798rad/s

LAST Step Rounding Answer

∴

ω = 7.2111rad/s

Angular Velocity of Free Longitudinal Vibrations Formula Elements

Variables

Functions

Angular Velocity

Angular Velocity is the rate of change of angular displacement of an object undergoing free longitudinal vibrations around a fixed axis.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Velocity

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

Mass suspended from spring

Mass suspended from spring is the amount of mass attached to the spring, affecting the natural frequency of free longitudinal vibrations of the spring.

Symbol: m_spring

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass suspended from spring

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.

Syntax: sqrt(Number)

Other formulas in Equilibrium Method category

Go Gravitational Pull Balanced by Spring Force

W = s constrain \cdot δ

Go Restoring Force

F re = - s constrain \cdot s body

Go Acceleration of Body given Stiffness of Constraint

a = \frac{s constrain \cdot s body}{W attached}

Go Displacement of Body given Stiffness of Constraint

s body = \frac{W attached \cdot a}{s constrain}

How to Evaluate Angular Velocity of Free Longitudinal Vibrations?

Angular Velocity of Free Longitudinal Vibrations evaluator uses Angular Velocity = sqrt(Stiffness of Constraint/Mass suspended from spring) to evaluate 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 evaluate Angular Velocity of Free Longitudinal Vibrations using this online evaluator? To use this online evaluator for Angular Velocity of Free Longitudinal Vibrations, enter Stiffness of Constraint (s_constrain) & Mass suspended from spring (m_spring) and hit the calculate button.

FAQs on Angular Velocity of Free Longitudinal Vibrations

What is the formula to find Angular Velocity of Free Longitudinal Vibrations?

The formula of Angular Velocity of Free Longitudinal Vibrations is expressed as Angular Velocity = sqrt(Stiffness of Constraint/Mass suspended from spring). Here is an example- 7.211103 = sqrt(13/0.25).

How to calculate Angular Velocity of Free Longitudinal Vibrations?

With Stiffness of Constraint (s_constrain) & Mass suspended from spring (m_spring) we can find Angular Velocity of Free Longitudinal Vibrations using the formula - Angular Velocity = sqrt(Stiffness of Constraint/Mass suspended from spring). This formula also uses Square Root (sqrt) function(s).

Can the Angular Velocity of Free Longitudinal Vibrations be negative?

No, the Angular Velocity of Free Longitudinal Vibrations, measured in Angular Velocity cannot be negative.

Which unit is used to measure Angular Velocity of Free Longitudinal Vibrations?

Angular Velocity of Free Longitudinal Vibrations is usually measured using the Radian per Second[rad/s] for Angular Velocity. Radian per Day[rad/s], Radian per Hour[rad/s], Radian per Minute[rad/s] are the few other units in which Angular Velocity of Free Longitudinal Vibrations can be measured.

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Angular Velocity of Free Longitudinal Vibrations Formula

Angular Velocity of Free Longitudinal Vibrations Example

Angular Velocity of Free Longitudinal Vibrations Solution

Angular Velocity of Free Longitudinal Vibrations Formula Elements

Other formulas in Equilibrium Method category

How to Evaluate Angular Velocity of Free Longitudinal Vibrations?

FAQs on Angular Velocity of Free Longitudinal Vibrations

Variable Name