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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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 » Mechanical » Frequency of Free Damped Vibrations » 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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< Frequency of Free Damped Vibrations Calculators

Condition for Critical Damping

LaTeX Go Critical Damping Coefficient = 2*Mass Suspended from Spring*sqrt(Stiffness of Spring/Mass Suspended from Spring)

Damping Factor given Natural Frequency

LaTeX Go Damping Ratio = Damping Coefficient/(2*Mass Suspended from Spring*Natural Circular Frequency)

Critical Damping Coefficient

LaTeX Go Critical Damping Coefficient = 2*Mass Suspended from Spring*Natural Circular Frequency

Damping Factor

LaTeX Go Damping Ratio = Damping Coefficient/Critical Damping Coefficient

Frequency Constant for Damped Vibrations Formula

LaTeX Go

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 formula is defined as a measure of the frequency of oscillations in a damped vibrating system, characterizing the rate at which the system oscillates when an external force is applied, and is influenced by the damping coefficient and mass of the system. 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 formula is defined as a measure of the frequency of oscillations in a damped vibrating system, characterizing the rate at which the system oscillates when an external force is applied, and is influenced by the damping coefficient and mass of the system 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 formula is defined as a measure of the frequency of oscillations in a damped vibrating system, characterizing the rate at which the system oscillates when an external force is applied, and is influenced by the damping coefficient and mass of the system 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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