Frequency Constant for Damped Vibrations Calculator

✖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%
✖A Mass Suspended from Spring is defined as the quantitative measure of inertia, a fundamental property of all matter.ⓘ Mass Suspended from Spring [m]			+10% -10%

✖The Frequency Constant for Calculation is the constant whose value is equal to the damping coefficient divided by twice of suspended mass.ⓘ Frequency Constant for Damped Vibrations [a]

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Formula

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Frequency Constant for Damped Vibrations

Formula

`"a" = "c"/"m"`

Example

`"0.64Hz"="0.8Ns/m"/"1.25kg"`

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Download Frequency of Free Damped Vibrations Formulas PDF

Frequency Constant for Damped Vibrations Solution

STEP 0: Pre-Calculation Summary

Formula Used

Frequency Constant for Calculation = Damping Coefficient/Mass Suspended from Spring
a = c/m
This formula uses 3 Variables

Variables Used

Frequency Constant for Calculation - (Measured in Hertz) - The Frequency Constant for Calculation is the constant whose value is equal to the damping coefficient divided by twice of suspended mass.
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.
Mass Suspended from Spring - (Measured in Kilogram) - A Mass Suspended from Spring is defined as the quantitative measure of inertia, a fundamental property of all matter.

STEP 1: Convert Input(s) to Base Unit

Damping Coefficient: 0.8 Newton Second per Meter --> 0.8 Newton Second per Meter No Conversion Required
Mass Suspended from Spring: 1.25 Kilogram --> 1.25 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = c/m --> 0.8/1.25

Evaluating ... ...

a = 0.64

STEP 3: Convert Result to Output's Unit

0.64 Hertz --> No Conversion Required

FINAL ANSWER

0.64 Hertz <-- Frequency Constant for Calculation

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Vibrations » Longitudinal and Transverse Vibrations » Frequency of Free Damped Vibrations » Under Damping » Frequency Constant for Damped Vibrations

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Indian Institute of Information Technology (IIIT), Guwahati

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< 10+ Under Damping Calculators

Periodic Time of Vibration

Go Time Period = (2*pi)/(sqrt(Stiffness of Spring/Mass Suspended from Spring-(Damping Coefficient/(2*Mass Suspended from Spring))^2))

Frequency of Damped Vibration

Go Frequency = 1/(2*pi)*sqrt(Stiffness of Spring/Mass Suspended from Spring-(Damping Coefficient/(2*Mass Suspended from Spring))^2)

Circular Damped Frequency

Go Circular Damped Frequency = sqrt(Stiffness of Spring/Mass Suspended from Spring-(Damping Coefficient/(2*Mass Suspended from Spring))^2)

Periodic Time of Vibration using Natural Frequency

Go Time Period = (2*pi)/(sqrt(Natural Circular Frequency^2-Frequency Constant for Calculation^2))

Frequency of Damped Vibration using Natural Frequency

Go Frequency = 1/(2*pi)*sqrt(Natural Circular Frequency^2-Frequency Constant for Calculation^2)

Displacement of Mass from Mean Position

Go Total Displacement = Amplitude of Vibration*cos(Circular Damped Frequency*Time Period)

Frequency of Undamped Vibration

Go Frequency = 1/(2*pi)*sqrt(Stiffness of Spring/Mass Suspended from Spring)

Frequency Constant for Damped Vibrations given Circular Frequency

Go Frequency Constant for Calculation = sqrt(Natural Circular Frequency^2-Circular Damped Frequency^2)

Circular Damped Frequency given Natural Frequency

Go Circular Damped Frequency = sqrt(Natural Circular Frequency^2-Frequency Constant for Calculation^2)

Frequency Constant for Damped Vibrations

Go Frequency Constant for Calculation = Damping Coefficient/Mass Suspended from Spring

Frequency Constant for Damped Vibrations Formula

Frequency Constant for Calculation = Damping Coefficient/Mass Suspended from Spring
a = c/m

Why damping happens during vibration?

The mechanical system vibrates at one or more of its natural frequencies and damps down to motionlessness. Damped vibration happens when the energy of a vibrating system is gradually dissipated by friction and other resistances, the vibrations are said to be damped.

How to Calculate Frequency Constant for Damped Vibrations?

Frequency Constant for Damped Vibrations calculator uses Frequency Constant for Calculation = Damping Coefficient/Mass Suspended from Spring to calculate the Frequency Constant for Calculation, Frequency Constant for Damped Vibrations is defined as the rate of change of the velocity of an object with respect to time. Frequency Constant for Calculation is denoted by a symbol.

How to calculate Frequency Constant for Damped Vibrations using this online calculator? To use this online calculator for Frequency Constant for Damped Vibrations, enter Damping Coefficient (c) & Mass Suspended from Spring (m) and hit the calculate button. Here is how the Frequency Constant for Damped Vibrations calculation can be explained with given input values -> 3.2 = 0.8/1.25.

FAQ

What is Frequency Constant for Damped Vibrations?

Frequency Constant for Damped Vibrations is defined as the rate of change of the velocity of an object with respect to time and is represented as a = c/m or Frequency Constant for Calculation = Damping Coefficient/Mass Suspended from Spring. Damping Coefficient is a material property that indicates whether a material will bounce back or return energy to a system & A Mass Suspended from Spring is defined as the quantitative measure of inertia, a fundamental property of all matter.

How to calculate Frequency Constant for Damped Vibrations?

Frequency Constant for Damped Vibrations is defined as the rate of change of the velocity of an object with respect to time is calculated using Frequency Constant for Calculation = Damping Coefficient/Mass Suspended from Spring. To calculate Frequency Constant for Damped Vibrations, you need Damping Coefficient (c) & Mass Suspended from Spring (m). With our tool, you need to enter the respective value for Damping Coefficient & Mass Suspended from Spring and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Frequency Constant for Calculation?

In this formula, Frequency Constant for Calculation uses Damping Coefficient & Mass Suspended from Spring. We can use 1 other way(s) to calculate the same, which is/are as follows -

Frequency Constant for Calculation = sqrt(Natural Circular Frequency^2-Circular Damped Frequency^2)

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