Mass of Spring given Natural 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%
✖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 Helical Spring [ω]			+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 Spring given Natural angular frequency of Spring [m]

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Mass of Spring given Natural angular frequency of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Spring: 7.400004 Newton per Millimeter --> 7400.004 Newton per Meter (Check conversion here)
Angular Frequency of Helical Spring: 124.1639 Revolution per Second --> 124.1639 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = k/(2*ω)^2 --> 7400.004/(2*124.1639)^2

Evaluating ... ...

m = 0.120000007291767

STEP 3: Convert Result to Output's Unit

0.120000007291767 Kilogram --> No Conversion Required

FINAL ANSWER

0.120000007291767 ≈ 0.12 Kilogram <-- Mass of Helical Spring

(Calculation completed in 00.020 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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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

Mass of Spring given Natural angular frequency of Spring Formula

LaTeX Go

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

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 Mass of Spring given Natural angular frequency of Spring?

Mass of Spring given Natural angular frequency of Spring calculator uses Mass of Helical Spring = Stiffness of Spring/(2*Angular Frequency of Helical Spring)^2 to calculate the Mass of Helical Spring, Mass of Spring given Natural angular frequency of Spring formula is defined as a measure of the amount of matter in a helical spring, which is directly proportional to the spring constant and inversely proportional to the square of the natural angular frequency, providing a fundamental property of the spring's oscillatory behavior. Mass of Helical Spring is denoted by m symbol.

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

FAQ

What is Mass of Spring given Natural angular frequency of Spring?

Mass of Spring given Natural angular frequency of Spring formula is defined as a measure of the amount of matter in a helical spring, which is directly proportional to the spring constant and inversely proportional to the square of the natural angular frequency, providing a fundamental property of the spring's oscillatory behavior and is represented as m = k/(2*ω)^2 or Mass of Helical Spring = Stiffness of Spring/(2*Angular Frequency of Helical Spring)^2. 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 & Angular Frequency of Helical Spring is the rate of oscillation of a helical spring when subjected to a surge or sudden force.

How to calculate Mass of Spring given Natural angular frequency of Spring?

Mass of Spring given Natural angular frequency of Spring formula is defined as a measure of the amount of matter in a helical spring, which is directly proportional to the spring constant and inversely proportional to the square of the natural angular frequency, providing a fundamental property of the spring's oscillatory behavior is calculated using Mass of Helical Spring = Stiffness of Spring/(2*Angular Frequency of Helical Spring)^2. To calculate Mass of Spring given Natural angular frequency of Spring, you need Stiffness of Spring (k) & Angular Frequency of Helical Spring (ω). With our tool, you need to enter the respective value for Stiffness of Spring & Angular Frequency 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 Mass of Helical Spring?

In this formula, Mass of Helical Spring uses Stiffness of Spring & Angular Frequency of Helical Spring. We can use 2 other way(s) to calculate the same, which is/are as follows -

Mass of Helical Spring = Stiffness of Spring/(4*Natural Angular Frequency of Helical Spring)^2
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)

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