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Frequency of Vibration Formula

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Vibrational Frequency is the number of oscillations or cycles per second of a vibrating system, typically measured in Hertz, characterizing its mechanical vibration. Check FAQs

v vib = \frac{1}{2 \cdot π} \cdot \sqrt{\frac{k 1}{m}}

v_vib - Vibrational Frequency?k₁ - Spring Stiffness 1?m - Mass?π - Archimedes' constant?

Frequency of Vibration Example

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Here is how the Frequency of Vibration equation looks like with Values.

Here is how the Frequency of Vibration equation looks like with Units.

Here is how the Frequency of Vibration equation looks like.

0.0231 = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{0.75}{35.45}}

0.0231Hz = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{0.75N/m}{35.45kg}}

0.0231 = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{0.75}{35.45}}

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Frequency of Vibration Solution

Follow our step by step solution on how to calculate Frequency of Vibration?

FIRST Step Consider the formula

v vib = \frac{1}{2 \cdot π} \cdot \sqrt{\frac{k 1}{m}}

Next Step Substitute values of Variables

∴

v vib = \frac{1}{2 \cdot π} \cdot \sqrt{\frac{0.75N/m}{35.45kg}}

Next Step Substitute values of Constants

∴

v vib = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{0.75N/m}{35.45kg}}

Next Step Prepare to Evaluate

∴

v vib = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{0.75}{35.45}}

Next Step Evaluate

∴

v vib = 0.023149554814168Hz

LAST Step Rounding Answer

∴

v vib = 0.0231Hz

Frequency of Vibration Formula Elements

Variables

Constants

Functions

Vibrational Frequency

Vibrational Frequency is the number of oscillations or cycles per second of a vibrating system, typically measured in Hertz, characterizing its mechanical vibration.

Symbol: v_vib

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Vibrational Frequency

Spring Stiffness 1

Spring Stiffness 1 is a measure of the force required to deform a spring by a unit distance in mechanical vibrations.

Symbol: k₁

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Spring Stiffness 1

Mass

Mass is the measure of the amount of matter in an object, which affects its vibrational behavior and response to external forces.

Symbol: m

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other formulas in Undamped Free Vibration category

Go Equivalent Stiffness of Two Springs in Parallel

K eq = K 1 + K 2

Go Equivalent Stiffness of Two Springs in Series

K eq = \frac{K 1 \cdot K 2}{K 1 + K 2}

Go Natural Frequency of Torsional Vibration System

ω' = \sqrt{\frac{s}{I disc}}

How to Evaluate Frequency of Vibration?

Frequency of Vibration evaluator uses Vibrational Frequency = 1/(2*pi)*sqrt(Spring Stiffness 1/Mass) to evaluate 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 evaluate Frequency of Vibration using this online evaluator? To use this online evaluator for Frequency of Vibration, enter Spring Stiffness 1 (k₁) & Mass (m) and hit the calculate button.

FAQs on Frequency of Vibration

What is the formula to find Frequency of Vibration?

The formula of Frequency of Vibration is expressed as Vibrational Frequency = 1/(2*pi)*sqrt(Spring Stiffness 1/Mass). Here is an example- 0.02315 = 1/(2*pi)*sqrt(0.75/35.45).

How to calculate Frequency of Vibration?

With Spring Stiffness 1 (k₁) & Mass (m) we can find Frequency of Vibration using the formula - Vibrational Frequency = 1/(2*pi)*sqrt(Spring Stiffness 1/Mass). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Frequency of Vibration be negative?

Yes, the Frequency of Vibration, measured in Frequency can be negative.

Which unit is used to measure Frequency of Vibration?

Frequency of Vibration is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Frequency of Vibration can be measured.

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