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 frequency of vibration or the oscillation frequency of a spring.
Stiffness of Spring - (Measured in Newton per Meter) - Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation, every object in this universe has some stiffness.
Mass of Helical Spring - (Measured in Kilogram) - Mass of Helical Spring is defined as the mass or the amount of material that is contained in the spring.
STEP 1: Convert Input(s) to Base Unit
Stiffness of Spring: 7.4 Newton per Millimeter --> 7400 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(7400/0.12)
Evaluating ... ...
ω = 124.163870214594
STEP 3: Convert Result to Output's Unit
124.163870214594 Hertz -->124.163870214594 Revolution per Second (Check conversion here)
FINAL ANSWER
124.163870214594 124.1639 Revolution per Second <-- Angular Frequency of Helical Spring
(Calculation completed in 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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12 Surge in Springs Calculators

Mass of Spring
Go Mass of Helical Spring = ((pi*(Diameter of spring wire^2)/4))*(pi*Mean Coil Diameter of Spring*Total Coils in Spring)*(Mass Density of Spring Wire)
Shear stress in spring
Go Shear Stress in Spring = Shear Stress Correction Factor of Spring*(8*Axial Spring Force*Spring Index)/(pi*Diameter of spring wire^2)
Direct shear stress in spring wire
Go Direct Shear Stress in Helical Spring = 4*Axial Spring Force/(pi*Diameter of spring wire^2)
Natural angular frequency of Spring whose one end is free
Go Angular Frequency of Helical Spring = (1/4)*sqrt(Stiffness of Spring/Mass of Helical Spring)
Angular Frequency of Spring
Go Angular Frequency of Helical Spring = (1/2)*sqrt(Stiffness of Spring/Mass of Helical Spring)
Stiffness of Spring given Natural angular frequency of Spring whose one end is free
Go Stiffness of Spring = ((4*Angular Frequency of Helical Spring)^2)*Mass of Helical Spring
Stiffness of Spring given Natural angular frequency of Spring
Go Stiffness of Spring = ((2*Angular Frequency of Helical Spring)^2)*Mass of Helical Spring
Mass of Spring given Natural angular frequency of Spring whose one end is free
Go Mass of Helical Spring = Stiffness of Spring/(4*Angular Frequency of Helical Spring)^2
Mass of Spring given Natural angular frequency of Spring
Go Mass of Helical Spring = Stiffness of Spring/(2*Angular Frequency of Helical Spring)^2
Solid Length of Spring
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
Go Deflection of Spring = Axial Spring Force/Stiffness of Spring
Axial Spring Force given Stiffness of Spring
Go Axial Spring Force = Stiffness of Spring*Deflection of Spring

Angular Frequency of Spring Formula

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, The Angular Frequency of Spring formula is defined as the motion of spring-mass system happens to be measured in radians which is a measure of angle. 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(7400/0.12).

FAQ

What is Angular Frequency of Spring?
The Angular Frequency of Spring formula is defined as the motion of spring-mass system happens to be measured in radians which is a measure of angle 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 a measure of the resistance offered by an elastic body to deformation, every object in this universe has some stiffness & Mass of Helical Spring is defined as the mass or the amount of material that is contained in the spring.
How to calculate Angular Frequency of Spring?
The Angular Frequency of Spring formula is defined as the motion of spring-mass system happens to be measured in radians which is a measure of angle 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.
How many ways are there to calculate Angular Frequency of Helical Spring?
In this formula, Angular Frequency of Helical Spring uses Stiffness of Spring & Mass of Helical Spring. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Angular Frequency of Helical Spring = (1/4)*sqrt(Stiffness of Spring/Mass of Helical Spring)
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