FormulaDen.com

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

Angular Velocity of Vibration using Force Transmitted Formula

Fx Copy

LaTeX Copy

Angular Velocity is the rate of change of angular displacement of an object rotating around a fixed axis in mechanical vibrations. Check FAQs

ω = \frac{\sqrt{{(\frac{F T}{K})}^{2} - k^{2}}}{c}

ω - Angular Velocity?F_T - Force Transmitted?K - Maximum Displacement?k - Stiffness of Spring?c - Damping Coefficient?

Angular Velocity of Vibration using Force Transmitted Example

With values

With units

Only example

Here is how the Angular Velocity of Vibration using Force Transmitted equation looks like with Values.

Here is how the Angular Velocity of Vibration using Force Transmitted equation looks like with Units.

Here is how the Angular Velocity of Vibration using Force Transmitted equation looks like.

0.2 = \frac{\sqrt{{(\frac{48021.6}{0.8})}^{2} - 60000^{2}}}{9000.022}

0.2rad/s = \frac{\sqrt{{(\frac{48021.6N}{0.8m})}^{2} - {60000N/m}^{2}}}{9000.022Ns/m}

0.2 = \frac{\sqrt{{(\frac{48021.6}{0.8})}^{2} - 60000^{2}}}{9000.022}

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 Angular Velocity of Vibration using Force Transmitted

Angular Velocity of Vibration using Force Transmitted Solution

Follow our step by step solution on how to calculate Angular Velocity of Vibration using Force Transmitted?

FIRST Step Consider the formula

ω = \frac{\sqrt{{(\frac{F T}{K})}^{2} - k^{2}}}{c}

Next Step Substitute values of Variables

∴

ω = \frac{\sqrt{{(\frac{48021.6N}{0.8m})}^{2} - {60000N/m}^{2}}}{9000.022Ns/m}

Next Step Prepare to Evaluate

∴

ω = \frac{\sqrt{{(\frac{48021.6}{0.8})}^{2} - 60000^{2}}}{9000.022}

Next Step Evaluate

∴

ω = 0.200022009791797rad/s

LAST Step Rounding Answer

∴

ω = 0.2rad/s

Angular Velocity of Vibration using Force Transmitted Formula Elements

Variables

Functions

Angular Velocity

Angular Velocity is the rate of change of angular displacement of an object rotating around a fixed axis in mechanical vibrations.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity

Force Transmitted

Force Transmitted is the amount of energy transferred from a vibrating system to another system or structure, affecting its motion and stability.

Symbol: F_T

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force Transmitted

Maximum Displacement

Maximum Displacement is the greatest distance from the mean position that an oscillating object reaches in a mechanical vibrating system.

Symbol: K

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Maximum Displacement

Stiffness of Spring

Stiffness of Spring is the measure of a spring's resistance to deformation, indicating its ability to store energy when compressed or stretched.

Symbol: k

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Stiffness of Spring

Damping Coefficient

Damping Coefficient is a measure of the rate at which the amplitude of oscillations decreases in a mechanical system due to energy loss.

Symbol: c

Measurement: Damping CoefficientUnit: Ns/m

Note: Value should be greater than 0.

Formulas to find Damping Coefficient

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 Vibration Isolation and Transmissibility category

Go Applied Force given Transmissibility Ratio and Maximum Displacement of Vibration

F a = \frac{K \cdot \sqrt{k^{2} + {(c \cdot ω)}^{2}}}{ε}

Go Applied Force given Transmissibility Ratio

F a = \frac{F T}{ε}

Go Damping Coefficient using Force Transmitted

c = \frac{\sqrt{{(\frac{F T}{K})}^{2} - k^{2}}}{ω}

Go Force Transmitted

F T = K \cdot \sqrt{k^{2} + {(c \cdot ω)}^{2}}

How to Evaluate Angular Velocity of Vibration using Force Transmitted?

Angular Velocity of Vibration using Force Transmitted evaluator uses Angular Velocity = (sqrt((Force Transmitted/Maximum Displacement)^2-Stiffness of Spring^2))/Damping Coefficient to evaluate the Angular Velocity, Angular Velocity of Vibration using Force Transmitted formula is defined as a measure of the rotational speed of an object vibrating due to an external force, providing insight into the oscillatory motion of the object in a mechanical system. Angular Velocity is denoted by ω symbol.

How to evaluate Angular Velocity of Vibration using Force Transmitted using this online evaluator? To use this online evaluator for Angular Velocity of Vibration using Force Transmitted, enter Force Transmitted (F_T), Maximum Displacement (K), Stiffness of Spring (k) & Damping Coefficient (c) and hit the calculate button.

FAQs on Angular Velocity of Vibration using Force Transmitted

What is the formula to find Angular Velocity of Vibration using Force Transmitted?

The formula of Angular Velocity of Vibration using Force Transmitted is expressed as Angular Velocity = (sqrt((Force Transmitted/Maximum Displacement)^2-Stiffness of Spring^2))/Damping Coefficient. Here is an example- 0.200022 = (sqrt((48021.6/0.8)^2-60000^2))/9000.022.

How to calculate Angular Velocity of Vibration using Force Transmitted?

With Force Transmitted (F_T), Maximum Displacement (K), Stiffness of Spring (k) & Damping Coefficient (c) we can find Angular Velocity of Vibration using Force Transmitted using the formula - Angular Velocity = (sqrt((Force Transmitted/Maximum Displacement)^2-Stiffness of Spring^2))/Damping Coefficient. This formula also uses Square Root (sqrt) function(s).

Can the Angular Velocity of Vibration using Force Transmitted be negative?

Yes, the Angular Velocity of Vibration using Force Transmitted, measured in Angular Velocity can be negative.

Which unit is used to measure Angular Velocity of Vibration using Force Transmitted?

Angular Velocity of Vibration using Force Transmitted 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 Vibration using Force Transmitted can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Angular Velocity of Vibration using Force Transmitted Formula

Angular Velocity of Vibration using Force Transmitted Example

Angular Velocity of Vibration using Force Transmitted Solution

Angular Velocity of Vibration using Force Transmitted Formula Elements

Other formulas in Vibration Isolation and Transmissibility category

How to Evaluate Angular Velocity of Vibration using Force Transmitted?

FAQs on Angular Velocity of Vibration using Force Transmitted

Variable Name