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Frequency of Vibration Calculator

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Elements of Vibration Forced Vibration Free Vibration of Single DOF Undamped Torsional System Undamped Free Vibration

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

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Frequency of Vibration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vibrational Frequency = 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 - (Measured in Hertz) - The Vibrational Frequency 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

(Calculation completed in 00.004 seconds)

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< Mechanical Vibrations Calculators

Velocity of Body in Simple Harmonic Motion

Go Velocity of Body = Vibrational Amplitude*Angular Velocity*cos(Angular Velocity*Time in seconds)

Magnitude of Acceleration of Body in Simple Harmonic Motion

Go Acceleration = Vibrational Amplitude*Angular Velocity^2*sin(Angular Velocity*Time in seconds)

Displacement of Body in Simple Harmonic Motion

Go Displacement of Body = Vibrational Amplitude*sin(Angular Velocity*Time in seconds)

Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement

Go Acceleration = Angular Velocity^2*Displacement of Body

Frequency of Vibration Formula

LaTeX Go

Vibrational Frequency = 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 = 1/(2*pi)*sqrt(Spring Stiffness 1/Mass) to calculate the Vibrational Frequency, Frequency of Vibration formula is defined as a measure of the number of oscillations or cycles per second of an object in a vibrating system, which is a fundamental concept in mechanical vibrations, allowing for the analysis and understanding of the dynamic behavior of systems. Vibrational Frequency 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?

Frequency of Vibration formula is defined as a measure of the number of oscillations or cycles per second of an object in a vibrating system, which is a fundamental concept in mechanical vibrations, allowing for the analysis and understanding of the dynamic behavior of systems and is represented as v_vib = 1/(2*pi)*sqrt(k₁/m) or Vibrational Frequency = 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?

Frequency of Vibration formula is defined as a measure of the number of oscillations or cycles per second of an object in a vibrating system, which is a fundamental concept in mechanical vibrations, allowing for the analysis and understanding of the dynamic behavior of systems is calculated using Vibrational Frequency = 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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