Frequency of Undamped Vibration 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%
✖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%

✖Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.ⓘ Frequency of Undamped Vibration [f]

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Frequency of Undamped Vibration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Frequency = 1/(2*pi)*sqrt(Stiffness of Spring/Mass Suspended from Spring)
f = 1/(2*pi)*sqrt(k/m)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Frequency - (Measured in Hertz) - Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.
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.
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

Stiffness of Spring: 60 Newton per Meter --> 60 Newton 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

f = 1/(2*pi)*sqrt(k/m) --> 1/(2*pi)*sqrt(60/1.25)

Evaluating ... ...

f = 1.10265779084358

STEP 3: Convert Result to Output's Unit

1.10265779084358 Hertz --> No Conversion Required

FINAL ANSWER

1.10265779084358 ≈ 1.102658 Hertz <-- Frequency

(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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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 of Undamped Vibration Formula

LaTeX Go

Frequency = 1/(2*pi)*sqrt(Stiffness of Spring/Mass Suspended from Spring)
f = 1/(2*pi)*sqrt(k/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 of Undamped Vibration?

Frequency of Undamped Vibration calculator uses Frequency = 1/(2*pi)*sqrt(Stiffness of Spring/Mass Suspended from Spring) to calculate the Frequency, Frequency of Undamped Vibration formula is defined as a measure of the number of oscillations per unit time of an object in a mechanical system, characterizing the natural frequency of the system when it is vibrating freely without any damping forces. Frequency is denoted by f symbol.

How to calculate Frequency of Undamped Vibration using this online calculator? To use this online calculator for Frequency of Undamped Vibration, enter Stiffness of Spring (k) & Mass Suspended from Spring (m) and hit the calculate button. Here is how the Frequency of Undamped Vibration calculation can be explained with given input values -> 1.102658 = 1/(2*pi)*sqrt(60/1.25).

FAQ

What is Frequency of Undamped Vibration?

Frequency of Undamped Vibration formula is defined as a measure of the number of oscillations per unit time of an object in a mechanical system, characterizing the natural frequency of the system when it is vibrating freely without any damping forces and is represented as f = 1/(2*pi)*sqrt(k/m) or Frequency = 1/(2*pi)*sqrt(Stiffness of Spring/Mass Suspended from 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 & A Mass Suspended from Spring is defined as the quantitative measure of inertia, a fundamental property of all matter.

How to calculate Frequency of Undamped Vibration?

Frequency of Undamped Vibration formula is defined as a measure of the number of oscillations per unit time of an object in a mechanical system, characterizing the natural frequency of the system when it is vibrating freely without any damping forces is calculated using Frequency = 1/(2*pi)*sqrt(Stiffness of Spring/Mass Suspended from Spring). To calculate Frequency of Undamped Vibration, you need Stiffness of Spring (k) & Mass Suspended from Spring (m). With our tool, you need to enter the respective value for Stiffness of Spring & 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?

In this formula, Frequency uses Stiffness of Spring & Mass Suspended from Spring. We can use 2 other way(s) to calculate the same, which is/are as follows -

Frequency = 1/(2*pi)*sqrt(Stiffness of Spring/Mass Suspended from Spring-(Damping Coefficient/(2*Mass Suspended from Spring))^2)
Frequency = 1/(2*pi)*sqrt(Natural Circular Frequency^2-Frequency Constant for Calculation^2)

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