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Angular Frequency of Spring Formula

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Angular Frequency of Helical Spring is the rate of oscillation of a helical spring when subjected to a surge or sudden force. Check FAQs

ω = (\frac{1}{2}) \cdot \sqrt{\frac{k}{m}}

ω - Angular Frequency of Helical Spring?k - Stiffness of Spring?m - Mass of Helical Spring?

Angular Frequency of Spring Example

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

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

Here is how the Angular Frequency of Spring equation looks like.

124.1639 = (\frac{1}{2}) \cdot \sqrt{\frac{7.4}{0.12}}

124.1639rev/s = (\frac{1}{2}) \cdot \sqrt{\frac{7.4N/mm}{0.12kg}}

124.1639 = (\frac{1}{2}) \cdot \sqrt{\frac{7.4}{0.12}}

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Angular Frequency of Spring Solution

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

FIRST Step Consider the formula

ω = (\frac{1}{2}) \cdot \sqrt{\frac{k}{m}}

Next Step Substitute values of Variables

∴

ω = (\frac{1}{2}) \cdot \sqrt{\frac{7.4N/mm}{0.12kg}}

Next Step Convert Units

∴

ω = (\frac{1}{2}) \cdot \sqrt{\frac{7400.004N/m}{0.12kg}}

Next Step Prepare to Evaluate

∴

ω = (\frac{1}{2}) \cdot \sqrt{\frac{7400.004}{0.12}}

Next Step Evaluate

∴

ω = 124.163903772393Hz

Next Step Convert to Output's Unit

∴

ω = 124.163903772393rev/s

LAST Step Rounding Answer

∴

ω = 124.1639rev/s

Angular Frequency of Spring Formula Elements

Variables

Functions

Angular Frequency of Helical Spring

Angular Frequency of Helical Spring is the rate of oscillation of a helical spring when subjected to a surge or sudden force.

Symbol: ω

Measurement: FrequencyUnit: rev/s

Note: Value should be greater than 0.

Formulas to find Angular Frequency of Helical Spring

Stiffness of Spring

Stiffness of Spring is the measure of a spring's resistance to deformation, indicating how much force is required to compress or stretch it by a certain distance.

Symbol: k

Measurement: Stiffness ConstantUnit: N/mm

Note: Value should be greater than 0.

Formulas to find Stiffness of Spring

Mass of Helical Spring

Mass of Helical Spring is the total weight of a helical spring, which is a mechanical device that stores energy, typically used in surge applications.

Symbol: m

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Helical Spring

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 Surge in Springs category

Go Solid Length of Spring

L = N t \cdot d

Go Axial Spring Force given Stiffness of Spring

P = k \cdot δ

Go Axial Deflection of Spring due to Axial load given Stiffness of Spring

δ = \frac{P}{k}

Go Shear stress in spring

𝜏 = K s \cdot \frac{8 \cdot P \cdot C}{π \cdot d^{2}}

How to Evaluate Angular Frequency of Spring?

Angular Frequency of Spring evaluator uses Angular Frequency of Helical Spring = (1/2)*sqrt(Stiffness of Spring/Mass of Helical Spring) to evaluate the Angular Frequency of Helical Spring, Angular Frequency of Spring formula is defined as a measure of the number of oscillations or rotations per unit time of a helical spring, characterizing its vibrational behavior, and is a fundamental property in the study of simple harmonic motion in mechanical systems. Angular Frequency of Helical Spring is denoted by ω symbol.

How to evaluate Angular Frequency of Spring using this online evaluator? To use this online evaluator for Angular Frequency of Spring, enter Stiffness of Spring (k) & Mass of Helical Spring (m) and hit the calculate button.

FAQs on Angular Frequency of Spring

What is the formula to find Angular Frequency of Spring?

The formula of Angular Frequency of Spring is expressed as Angular Frequency of Helical Spring = (1/2)*sqrt(Stiffness of Spring/Mass of Helical Spring). Here is an example- 124.1639 = (1/2)*sqrt(7400.004/0.12).

How to calculate Angular Frequency of Spring?

With Stiffness of Spring (k) & Mass of Helical Spring (m) we can find Angular Frequency of Spring using the formula - Angular Frequency of Helical Spring = (1/2)*sqrt(Stiffness of Spring/Mass of Helical Spring). This formula also uses Square Root (sqrt) function(s).

Can the Angular Frequency of Spring be negative?

No, the Angular Frequency of Spring, measured in Frequency cannot be negative.

Which unit is used to measure Angular Frequency of Spring?

Angular Frequency of Spring is usually measured using the Revolution per Second[rev/s] for Frequency. Hertz[rev/s], Petahertz[rev/s], Terahertz[rev/s] are the few other units in which Angular Frequency of Spring can be measured.

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Angular Frequency of Spring Formula

Angular Frequency of Spring Example

Angular Frequency of Spring Solution

Angular Frequency of Spring Formula Elements

Other formulas in Surge in Springs category

How to Evaluate Angular Frequency of Spring?

FAQs on Angular Frequency of Spring

Variable Name