Angular Frequency of Spring Calculator

✖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.ⓘ Stiffness of Spring [k]			+10% -10%
✖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.ⓘ Mass of Helical Spring [m]			+10% -10%

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

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Angular Frequency of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Frequency of Helical Spring = (1/2)*sqrt(Stiffness of Spring/Mass of Helical Spring)
ω = (1/2)*sqrt(k/m)
This formula uses 1 Functions, 3 Variables

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

Angular Frequency of Helical Spring - (Measured in Hertz) - Angular Frequency of Helical Spring is the rate of oscillation of a helical spring when subjected to a surge or sudden force.
Stiffness of Spring - (Measured in Newton per Meter) - 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.
Mass of Helical Spring - (Measured in Kilogram) - 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.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Spring: 7.400004 Newton per Millimeter --> 7400.004 Newton per Meter (Check conversion here)
Mass of Helical Spring: 0.12 Kilogram --> 0.12 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω = (1/2)*sqrt(k/m) --> (1/2)*sqrt(7400.004/0.12)

Evaluating ... ...

ω = 124.163903772393

STEP 3: Convert Result to Output's Unit

124.163903772393 Hertz -->124.163903772393 Revolution per Second (Check conversion here)

FINAL ANSWER

124.163903772393 ≈ 124.1639 Revolution per Second <-- Angular Frequency of Helical Spring

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Helical Springs » Mechanical » Surge in Springs » Angular Frequency of Spring

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Surge in Springs Calculators

Shear stress in spring

LaTeX Go Shear Stress in Spring = Shear Stress Correction Factor of Spring*(8*Axial Spring Force*Spring Index)/(pi*Diameter of spring wire^2)

Solid Length of Spring

LaTeX Go Solid Length of Spring = Total Coils in Spring*Diameter of spring wire

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

LaTeX Go Deflection of Spring = Axial Spring Force/Stiffness of Spring

Axial Spring Force given Stiffness of Spring

LaTeX Go Axial Spring Force = Stiffness of Spring*Deflection of Spring

Angular Frequency of Spring Formula

LaTeX Go

Angular Frequency of Helical Spring = (1/2)*sqrt(Stiffness of Spring/Mass of Helical Spring)
ω = (1/2)*sqrt(k/m)

Define Angular Frequency of the spring?

So to differentiate it from frequency it is called angular frequency. So your spring-mass system is undergoing linear oscillatory motion but a parameter used to describe the motion of your spring-mass system happens to be measured in radians which is a measure of angle.

How to Calculate Angular Frequency of Spring?

Angular Frequency of Spring calculator uses Angular Frequency of Helical Spring = (1/2)*sqrt(Stiffness of Spring/Mass of Helical Spring) to calculate 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 calculate Angular Frequency of Spring using this online calculator? To use this online calculator for Angular Frequency of Spring, enter Stiffness of Spring (k) & Mass of Helical Spring (m) and hit the calculate button. Here is how the Angular Frequency of Spring calculation can be explained with given input values -> 124.1639 = (1/2)*sqrt(7400.004/0.12).

FAQ

What is Angular Frequency of 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 and is represented as ω = (1/2)*sqrt(k/m) or Angular Frequency of Helical Spring = (1/2)*sqrt(Stiffness of Spring/Mass of Helical 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 & 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.

How to calculate Angular Frequency of 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 is calculated using Angular Frequency of Helical Spring = (1/2)*sqrt(Stiffness of Spring/Mass of Helical Spring). To calculate Angular Frequency of Spring, you need Stiffness of Spring (k) & Mass of Helical Spring (m). With our tool, you need to enter the respective value for Stiffness of Spring & Mass of Helical Spring 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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