Natural Circular Frequency given Magnification Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Natural Circular Frequency = Stiffness of Spring/(Magnification Factor*Damping coefficient)
ωn = 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: 19.19 --> 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
ωn = k/(D*c) --> 0.75/(19.19*50)
Evaluating ... ...
ωn = 0.000781657113079729
STEP 3: Convert Result to Output's Unit
0.000781657113079729 Radian per Second --> No Conversion Required
FINAL ANSWER
0.000781657113079729 0.000782 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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6 Magnification Factor or Dynamic Magnifier Calculators

Magnification Factor
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
Go Magnification Factor = (Natural Circular Frequency^2)/(Natural Circular Frequency^2-Angular Velocity^2)
Natural Circular Frequency given Magnification Factor
Go Natural Circular Frequency = Stiffness of Spring/(Magnification Factor*Damping coefficient)
Magnification Factor at Resonance
Go Magnification Factor = Stiffness of Spring/(Damping coefficient*Natural Circular Frequency)
Magnification Factor given Displacement of Vibrations
Go Magnification Factor = Total Displacement/Deflection under the static force
Maximum Displacement given Magnification Factor
Go Total Displacement = Magnification Factor*Deflection under the static force

Natural Circular Frequency given Magnification Factor Formula

Natural Circular Frequency = Stiffness of Spring/(Magnification Factor*Damping coefficient)
ωn = 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, The Natural Circular Frequency given Magnification Factor formula is defined as a scalar measure of rotation rate. Natural Circular Frequency is denoted by ωn 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 -> 0.024194 = 0.75/(19.19*50).

FAQ

What is Natural Circular Frequency given Magnification Factor?
The Natural Circular Frequency given Magnification Factor formula is defined as a scalar measure of rotation rate and is represented as ωn = 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?
The Natural Circular Frequency given Magnification Factor formula is defined as a scalar measure of rotation rate 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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