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Natural Circular Frequency given Magnification Factor Formula

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Natural Circular Frequency is a scalar measure of rotation rate. Check FAQs

ω n = \frac{k}{D \cdot c}

ω_n - Natural Circular Frequency?k - Stiffness of Spring?D - Magnification Factor?c - Damping Coefficient?

Natural Circular Frequency given Magnification Factor Example

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Here is how the Natural Circular Frequency given Magnification Factor equation looks like with Values.

Here is how the Natural Circular Frequency given Magnification Factor equation looks like with Units.

Here is how the Natural Circular Frequency given Magnification Factor equation looks like.

15 = \frac{0.75}{0.001 \cdot 50}

15rad/s = \frac{0.75N/m}{0.001 \cdot 50Ns/m}

15 = \frac{0.75}{0.001 \cdot 50}

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Natural Circular Frequency given Magnification Factor Solution

Follow our step by step solution on how to calculate Natural Circular Frequency given Magnification Factor?

FIRST Step Consider the formula

ω n = \frac{k}{D \cdot c}

Next Step Substitute values of Variables

∴

ω n = \frac{0.75N/m}{0.001 \cdot 50Ns/m}

Next Step Prepare to Evaluate

∴

ω n = \frac{0.75}{0.001 \cdot 50}

LAST Step Evaluate

∴

ω n = 15rad/s

Natural Circular Frequency given Magnification Factor Formula Elements

Variables

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

Stiffness of Spring

Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.

Symbol: k

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Stiffness of Spring

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

Damping Coefficient

Damping coefficient is a material property that indicates whether a material will bounce back or return energy to a system.

Symbol: c

Measurement: Damping CoefficientUnit: Ns/m

Note: Value should be greater than 0.

Formulas to find Damping Coefficient

Other formulas in Magnification Factor or Dynamic Magnifier category

Go Magnification Factor at Resonance

D = \frac{k}{c \cdot ω n}

Go Magnification Factor if there is No Damping

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

Go Maximum Displacement given Magnification Factor

d mass = D \cdot x o

Go Magnification Factor

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

How to Evaluate Natural Circular Frequency given Magnification Factor?

Natural Circular Frequency given Magnification Factor evaluator uses Natural Circular Frequency = Stiffness of Spring/(Magnification Factor*Damping Coefficient) to evaluate the Natural Circular Frequency, Natural Circular Frequency given Magnification Factor formula is defined as a measure of the natural frequency of a system in terms of the magnification factor, which is a critical parameter in understanding the dynamic behavior of a system, particularly in mechanical and electrical systems. Natural Circular Frequency is denoted by ω_n symbol.

How to evaluate Natural Circular Frequency given Magnification Factor using this online evaluator? To use this online evaluator for Natural Circular Frequency given Magnification Factor, enter Stiffness of Spring (k), Magnification Factor (D) & Damping Coefficient (c) and hit the calculate button.

FAQs on Natural Circular Frequency given Magnification Factor

What is the formula to find Natural Circular Frequency given Magnification Factor?

The formula of Natural Circular Frequency given Magnification Factor is expressed as Natural Circular Frequency = Stiffness of Spring/(Magnification Factor*Damping Coefficient). Here is an example- 15 = 0.75/(0.001*50).

How to calculate Natural Circular Frequency given Magnification Factor?

With Stiffness of Spring (k), Magnification Factor (D) & Damping Coefficient (c) we can find Natural Circular Frequency given Magnification Factor using the formula - Natural Circular Frequency = Stiffness of Spring/(Magnification Factor*Damping Coefficient).

Can the Natural Circular Frequency given Magnification Factor be negative?

No, the Natural Circular Frequency given Magnification Factor, measured in Angular Velocity cannot be negative.

Which unit is used to measure Natural Circular Frequency given Magnification Factor?

Natural Circular Frequency given Magnification Factor 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 Natural Circular Frequency given Magnification Factor can be measured.

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Natural Circular Frequency given Magnification Factor Formula

Natural Circular Frequency given Magnification Factor Example

Natural Circular Frequency given Magnification Factor Solution

Natural Circular Frequency given Magnification Factor Formula Elements

Other formulas in Magnification Factor or Dynamic Magnifier category

How to Evaluate Natural Circular Frequency given Magnification Factor?

FAQs on Natural Circular Frequency given Magnification Factor

Variable Name