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Frequency of Undamped Vibration Formula

GoFrequency of Damped Vibration Formula

GoFrequency of Damped Vibration using Natural Frequency Formula

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Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second. Check FAQs

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

f - Frequency?k - Stiffness of Spring?m - Mass Suspended from Spring?π - Archimedes' constant?

Frequency of Undamped Vibration Example

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

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

Here is how the Frequency of Undamped Vibration equation looks like.

1.1027 = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{60}{1.25}}

1.1027Hz = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{60N/m}{1.25kg}}

1.1027 = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{60}{1.25}}

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Frequency of Undamped Vibration Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f = \frac{1}{2 \cdot π} \cdot \sqrt{\frac{60N/m}{1.25kg}}

Next Step Substitute values of Constants

∴

f = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{60N/m}{1.25kg}}

Next Step Prepare to Evaluate

∴

f = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{60}{1.25}}

Next Step Evaluate

∴

f = 1.10265779084358Hz

LAST Step Rounding Answer

∴

f = 1.1027Hz

Frequency of Undamped Vibration Formula Elements

Variables

Constants

Functions

Frequency

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

Symbol: f

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Frequency

Stiffness of 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.

Symbol: k

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Stiffness of Spring

Mass Suspended from Spring

A Mass Suspended from Spring is defined as the quantitative measure of inertia, a fundamental property of all matter.

Symbol: m

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass Suspended from Spring

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 to find Frequency

Go Frequency of Damped Vibration

f = \frac{1}{2 \cdot π} \cdot \sqrt{\frac{k}{m} - {(\frac{c}{2 \cdot m})}^{2}}

Go Frequency of Damped Vibration using Natural Frequency

f = \frac{1}{2 \cdot π} \cdot \sqrt{{ω n}^{2} - a^{2}}

Other formulas in Frequency of Free Damped Vibrations category

Go Condition for Critical Damping

c c = 2 \cdot m \cdot \sqrt{\frac{k}{m}}

Go Critical Damping Coefficient

c c = 2 \cdot m \cdot ω n

Go Damping Factor

ζ = \frac{c}{c c}

Go Damping Factor given Natural Frequency

ζ = \frac{c}{2 \cdot m \cdot ω n}

How to Evaluate Frequency of Undamped Vibration?

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

FAQs on Frequency of Undamped Vibration

What is the formula to find Frequency of Undamped Vibration?

The formula of Frequency of Undamped Vibration is expressed as Frequency = 1/(2*pi)*sqrt(Stiffness of Spring/Mass Suspended from Spring). Here is an example- 1.102658 = 1/(2*pi)*sqrt(60/1.25).

How to calculate Frequency of Undamped Vibration?

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

What are the other ways to Calculate Frequency?

Here are the different ways to Calculate Frequency-

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)

Can the Frequency of Undamped Vibration be negative?

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

Which unit is used to measure Frequency of Undamped Vibration?

Frequency of Undamped 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 Undamped Vibration can be measured.

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