## Frequency of Vibration Solution

STEP 0: Pre-Calculation Summary
Formula Used
Vibrational Frequency 2 = 1/(2*pi)*sqrt(Spring Stiffness 1/Mass)
vvib = 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
vvib = 1/(2*pi)*sqrt(k1/m) --> 1/(2*pi)*sqrt(0.75/35.45)
Evaluating ... ...
vvib = 0.023149554814168
STEP 3: Convert Result to Output's Unit
0.023149554814168 Hertz --> No Conversion Required
0.023149554814168 0.02315 Hertz <-- Vibrational Frequency 2
(Calculation completed in 00.004 seconds)
You are here -
Home »

## Credits

Created by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!
Verified by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
Vaibhav Malani has verified this Calculator and 200+ more calculators!

## <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)
vvib = 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 vvib 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 vvib = 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.
Let Others Know