Frequency of Vibration Calculator

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Free Vibration of Single DOF Undamped Torsional System

✖Spring Stiffness 1 is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.ⓘ Spring Stiffness 1 [k₁]			+10% -10%
✖Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass [m]			+10% -10%

✖The Vibrational Frequency 2 is the frequency of photons on the excited state.ⓘ Frequency of Vibration [v_vib]

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Formula

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Frequency of Vibration

Formula

`"v"_{"vib"} = 1/(2*pi)*sqrt("k"_{"1"}/"m")`

Example

`"0.02315Hz"=1/(2*pi)*sqrt("0.75N/m"/"35.45kg")`

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Frequency of Vibration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vibrational Frequency 2 = 1/(2*pi)*sqrt(Spring Stiffness 1/Mass)
v_vib = 1/(2*pi)*sqrt(k₁/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

Vibrational Frequency 2 - (Measured in Hertz) - The Vibrational Frequency 2 is the frequency of photons on the excited state.
Spring Stiffness 1 - (Measured in Newton per Meter) - Spring Stiffness 1 is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.
Mass - (Measured in Kilogram) - Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.

STEP 1: Convert Input(s) to Base Unit

Spring Stiffness 1: 0.75 Newton per Meter --> 0.75 Newton per Meter No Conversion Required
Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_vib = 1/(2*pi)*sqrt(k₁/m) --> 1/(2*pi)*sqrt(0.75/35.45)

Evaluating ... ...

v_vib = 0.023149554814168

STEP 3: Convert Result to Output's Unit

0.023149554814168 Hertz --> No Conversion Required

FINAL ANSWER

0.023149554814168 ≈ 0.02315 Hertz <-- Vibrational Frequency 2

(Calculation completed in 00.004 seconds)

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Home » Physics » Mechanical vibrations » Undamped Free Vibration » Frequency of Vibration

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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National Institute of Technology (NIT), Tiruchirapalli

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< 4 Undamped Free Vibration Calculators

Equivalent Stiffness of Two Springs in Series

Go Equivalent Stiffness of Springs = (Stiffness of Spring 1*Stiffness of Spring 2)/(Stiffness of Spring 1+Stiffness of Spring 2)

Frequency of Vibration

Go Vibrational Frequency 2 = 1/(2*pi)*sqrt(Spring Stiffness 1/Mass)

Natural Frequency of Torsional Vibration System

Go Angular Frequency = sqrt(Stiffness of Shaft/Mass moment of inertia of disc)

Equivalent Stiffness of Two Springs in Parallel

Go Equivalent Stiffness of Springs = Stiffness of Spring 1+Stiffness of Spring 2

Frequency of Vibration Formula

Vibrational Frequency 2 = 1/(2*pi)*sqrt(Spring Stiffness 1/Mass)
v_vib = 1/(2*pi)*sqrt(k₁/m)

What is vibration?

Vibration is a mechanical phenomenon whereby oscillations occur about an equilibrium point. The oscillations may be periodic, such as the motion of a pendulum or random, such as the movement of a tire on a gravel road.

How to Calculate Frequency of Vibration?

Frequency of Vibration calculator uses Vibrational Frequency 2 = 1/(2*pi)*sqrt(Spring Stiffness 1/Mass) to calculate the Vibrational Frequency 2, The Frequency of vibration formula is defined as the reciprocal of 2π multiplied to square root of ratio of stiffness of spring to mass. Vibrational Frequency 2 is denoted by v_vib symbol.

How to calculate Frequency of Vibration using this online calculator? To use this online calculator for Frequency of Vibration, enter Spring Stiffness 1 (k₁) & Mass (m) and hit the calculate button. Here is how the Frequency of Vibration calculation can be explained with given input values -> 0.02315 = 1/(2*pi)*sqrt(0.75/35.45).

FAQ

What is Frequency of Vibration?

The Frequency of vibration formula is defined as the reciprocal of 2π multiplied to square root of ratio of stiffness of spring to mass and is represented as v_vib = 1/(2*pi)*sqrt(k₁/m) or Vibrational Frequency 2 = 1/(2*pi)*sqrt(Spring Stiffness 1/Mass). Spring Stiffness 1 is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness & Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.

How to calculate Frequency of Vibration?

The Frequency of vibration formula is defined as the reciprocal of 2π multiplied to square root of ratio of stiffness of spring to mass is calculated using Vibrational Frequency 2 = 1/(2*pi)*sqrt(Spring Stiffness 1/Mass). To calculate Frequency of Vibration, you need Spring Stiffness 1 (k₁) & Mass (m). With our tool, you need to enter the respective value for Spring Stiffness 1 & Mass 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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