Natural Circular Frequency given Magnification Factor Calculator

✖Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.ⓘ Stiffness of Spring [k]			+10% -10%
✖Magnification Factor is the value of deflection under the dynamic force divided by the deflection under the static type of force.ⓘ Magnification Factor [D]			+10% -10%
✖Damping coefficient is a material property that indicates whether a material will bounce back or return energy to a system.ⓘ Damping Coefficient [c]			+10% -10%

✖Natural Circular Frequency is a scalar measure of rotation rate.ⓘ Natural Circular Frequency given Magnification Factor [ω_n]

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Natural Circular Frequency given Magnification Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Natural Circular Frequency = Stiffness of Spring/(Magnification Factor*Damping Coefficient)
ω_n = k/(D*c)
This formula uses 4 Variables

Variables Used

Natural Circular Frequency - (Measured in Radian per Second) - Natural Circular Frequency is a scalar measure of rotation rate.
Stiffness of Spring - (Measured in Newton per Meter) - Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.
Magnification Factor - Magnification Factor is the value of deflection under the dynamic force divided by the deflection under the static type of force.
Damping Coefficient - (Measured in Newton Second per Meter) - Damping coefficient is a material property that indicates whether a material will bounce back or return energy to a system.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Spring: 0.75 Newton per Meter --> 0.75 Newton per Meter No Conversion Required
Magnification Factor: 0.001 --> No Conversion Required
Damping Coefficient: 50 Newton Second per Meter --> 50 Newton Second per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω_n = k/(D*c) --> 0.75/(0.001*50)

Evaluating ... ...

ω_n = 15

STEP 3: Convert Result to Output's Unit

15 Radian per Second --> No Conversion Required

FINAL ANSWER

15 Radian per Second <-- Natural Circular Frequency

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Magnification Factor or Dynamic Magnifier Calculators

Magnification Factor

LaTeX Go Magnification Factor = 1/(sqrt((Damping Coefficient*Angular Velocity/Stiffness of Spring)^2+(1-(Angular Velocity/Natural Circular Frequency)^2)^2))

Magnification Factor if there is No Damping

LaTeX Go Magnification Factor = (Natural Circular Frequency^2)/(Natural Circular Frequency^2-Angular Velocity^2)

Magnification Factor at Resonance

LaTeX Go Magnification Factor = Stiffness of Spring/(Damping Coefficient*Natural Circular Frequency)

Maximum Displacement given Magnification Factor

LaTeX Go Total Displacement = Magnification Factor*Deflection Under the Static Force

Natural Circular Frequency given Magnification Factor Formula

LaTeX Go

Natural Circular Frequency = Stiffness of Spring/(Magnification Factor*Damping Coefficient)
ω_n = k/(D*c)

What is dynamic magnification factor?

Dynamic magnification factor is defined as the ratio of the dynamic deflection at any time to the static deflection which would have resulted from the static application of the external load, which is used in specifying the load-time variation.

How to Calculate Natural Circular Frequency given Magnification Factor?

Natural Circular Frequency given Magnification Factor calculator uses Natural Circular Frequency = Stiffness of Spring/(Magnification Factor*Damping Coefficient) to calculate 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 calculate Natural Circular Frequency given Magnification Factor using this online calculator? To use this online calculator for Natural Circular Frequency given Magnification Factor, enter Stiffness of Spring (k), Magnification Factor (D) & Damping Coefficient (c) and hit the calculate button. Here is how the Natural Circular Frequency given Magnification Factor calculation can be explained with given input values -> 15 = 0.75/(0.001*50).

FAQ

What is Natural Circular Frequency given Magnification Factor?

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 and is represented as ω_n = k/(D*c) or Natural Circular Frequency = Stiffness of Spring/(Magnification Factor*Damping Coefficient). Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness, Magnification Factor is the value of deflection under the dynamic force divided by the deflection under the static type of force & Damping coefficient is a material property that indicates whether a material will bounce back or return energy to a system.

How to calculate Natural Circular Frequency given Magnification Factor?

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 is calculated using Natural Circular Frequency = Stiffness of Spring/(Magnification Factor*Damping Coefficient). To calculate Natural Circular Frequency given Magnification Factor, you need Stiffness of Spring (k), Magnification Factor (D) & Damping Coefficient (c). With our tool, you need to enter the respective value for Stiffness of Spring, Magnification Factor & Damping Coefficient 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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