FormulaDen.com

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

Magnification Factor if there is No Damping Formula

GoMagnification Factor at Resonance Formula

GoMagnification Factor Formula

Fx Copy

LaTeX Copy

Magnification Factor is the value of deflection under the dynamic force divided by the deflection under the static type of force. Check FAQs

D = \frac{{ω n}^{2}}{{ω n}^{2} - ω^{2}}

D - Magnification Factor?ω_n - Natural Circular Frequency?ω - Angular Velocity?

Magnification Factor if there is No Damping Example

With values

With units

Only example

Here is how the Magnification Factor if there is No Damping equation looks like with Values.

Here is how the Magnification Factor if there is No Damping equation looks like with Units.

Here is how the Magnification Factor if there is No Damping equation looks like.

2.2599 = \frac{15^{2}}{15^{2} - {11.2}^{2}}

2.2599 = \frac{{15rad/s}^{2}}{{15rad/s}^{2} - {11.2rad/s}^{2}}

2.2599 = \frac{15^{2}}{15^{2} - {11.2}^{2}}

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 Magnification Factor if there is No Damping

Magnification Factor if there is No Damping Solution

Follow our step by step solution on how to calculate Magnification Factor if there is No Damping?

FIRST Step Consider the formula

D = \frac{{ω n}^{2}}{{ω n}^{2} - ω^{2}}

Next Step Substitute values of Variables

∴

D = \frac{{15rad/s}^{2}}{{15rad/s}^{2} - {11.2rad/s}^{2}}

Next Step Prepare to Evaluate

∴

D = \frac{15^{2}}{15^{2} - {11.2}^{2}}

Next Step Evaluate

∴

D = 2.25994375251105

LAST Step Rounding Answer

∴

D = 2.2599

Magnification Factor if there is No Damping Formula Elements

Variables

Magnification Factor

Magnification Factor is the value of deflection under the dynamic force divided by the deflection under the static type of force.

Symbol: D

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Magnification Factor

Natural Circular Frequency

Natural Circular Frequency is a scalar measure of rotation rate.

Symbol: ω_n

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Natural Circular Frequency

Angular Velocity

The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Velocity

Other Formulas to find Magnification Factor

Go Magnification Factor at Resonance

D = \frac{k}{c \cdot ω n}

Go Magnification Factor

D = \frac{1}{\sqrt{{(c \cdot \frac{ω}{k})}^{2} + {(1 - {(\frac{ω}{ω n})}^{2})}^{2}}}

Go Magnification Factor given Displacement of Vibrations

D = \frac{d mass}{x o}

Other formulas in Magnification Factor or Dynamic Magnifier category

Go Maximum Displacement given Magnification Factor

d mass = D \cdot x o

Go Natural Circular Frequency given Magnification Factor

ω n = \frac{k}{D \cdot c}

How to Evaluate Magnification Factor if there is No Damping?

Magnification Factor if there is No Damping evaluator uses Magnification Factor = (Natural Circular Frequency^2)/(Natural Circular Frequency^2-Angular Velocity^2) to evaluate the Magnification Factor, Magnification Factor if there is No Damping formula is defined as a measure of the amplification of a system's response to an oscillatory input in the absence of damping forces, providing insight into the system's dynamic behavior and stability. Magnification Factor is denoted by D symbol.

How to evaluate Magnification Factor if there is No Damping using this online evaluator? To use this online evaluator for Magnification Factor if there is No Damping, enter Natural Circular Frequency (ω_n) & Angular Velocity (ω) and hit the calculate button.

FAQs on Magnification Factor if there is No Damping

What is the formula to find Magnification Factor if there is No Damping?

The formula of Magnification Factor if there is No Damping is expressed as Magnification Factor = (Natural Circular Frequency^2)/(Natural Circular Frequency^2-Angular Velocity^2). Here is an example- 1.397516 = (15^2)/(15^2-11.2^2).

How to calculate Magnification Factor if there is No Damping?

With Natural Circular Frequency (ω_n) & Angular Velocity (ω) we can find Magnification Factor if there is No Damping using the formula - Magnification Factor = (Natural Circular Frequency^2)/(Natural Circular Frequency^2-Angular Velocity^2).

What are the other ways to Calculate Magnification Factor?

Here are the different ways to Calculate Magnification Factor-

Magnification Factor=Stiffness of Spring/(Damping Coefficient*Natural Circular Frequency)
Magnification Factor=1/(sqrt((Damping Coefficient*Angular Velocity/Stiffness of Spring)^2+(1-(Angular Velocity/Natural Circular Frequency)^2)^2))
Magnification Factor=Total Displacement/Deflection Under the Static Force

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Magnification Factor if there is No Damping Formula

​GoMagnification Factor at Resonance Formula

​GoMagnification Factor Formula

Magnification Factor if there is No Damping Example

Magnification Factor if there is No Damping Solution

Magnification Factor if there is No Damping Formula Elements

Other Formulas to find Magnification Factor

Other formulas in Magnification Factor or Dynamic Magnifier category

How to Evaluate Magnification Factor if there is No Damping?

FAQs on Magnification Factor if there is No Damping

Variable Name

GoMagnification Factor at Resonance Formula

GoMagnification Factor Formula