Mass of Spring given Natural angular frequency of Spring whose one end is free Calculator

✖Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation, every object in this universe has some stiffness.ⓘ Stiffness of Spring [k]			+10% -10%
✖Angular Frequency of Helical Spring is the frequency of vibration or the oscillation frequency of a spring.ⓘ Angular Frequency of Helical Spring [ω]			+10% -10%

✖Mass of Helical Spring is defined as the mass or the amount of material that is contained in the spring.ⓘ Mass of Spring given Natural angular frequency of Spring whose one end is free [m]

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Mass of Spring given Natural angular frequency of Spring whose one end is free

Formula

`"m" = "k"/(4*"ω")^2`

Example

`"0.031589kg"="7.40N/mm"/(4*"121rev/s")^2`

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Mass of Spring given Natural angular frequency of Spring whose one end is free Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mass of Helical Spring = Stiffness of Spring/(4*Angular Frequency of Helical Spring)^2
m = k/(4*ω)^2
This formula uses 3 Variables

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Spring: 7.4 Newton per Millimeter --> 7400 Newton per Meter (Check conversion here)
Angular Frequency of Helical Spring: 121 Revolution per Second --> 121 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = k/(4*ω)^2 --> 7400/(4*121)^2

Evaluating ... ...

m = 0.0315893723106345

STEP 3: Convert Result to Output's Unit

0.0315893723106345 Kilogram --> No Conversion Required

FINAL ANSWER

0.0315893723106345 ≈ 0.031589 Kilogram <-- Mass of Helical Spring

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Helical Springs » Surge in Springs » Mass of Spring given Natural angular frequency of Spring whose one end is free

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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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

Mass of Spring given Natural angular frequency of Spring whose one end is free Formula

Mass of Helical Spring = Stiffness of Spring/(4*Angular Frequency of Helical Spring)^2
m = k/(4*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 whose one end is free?

Mass of Spring given Natural angular frequency of Spring whose one end is free calculator uses Mass of Helical Spring = Stiffness of Spring/(4*Angular Frequency of Helical Spring)^2 to calculate the Mass of Helical Spring, Mass of Spring given Natural angular frequency of Spring whose one end is free formula is a quantitative measure of inertia, a fundamental property of all matter. It is, in effect, the resistance that the spring offers to a change in its speed or position upon the application of a force. Mass of Helical Spring is denoted by m symbol.

How to calculate Mass of Spring given Natural angular frequency of Spring whose one end is free using this online calculator? To use this online calculator for Mass of Spring given Natural angular frequency of Spring whose one end is free, 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 whose one end is free calculation can be explained with given input values -> 0.031589 = 7400/(4*121)^2.

FAQ

What is Mass of Spring given Natural angular frequency of Spring whose one end is free?

Mass of Spring given Natural angular frequency of Spring whose one end is free formula is a quantitative measure of inertia, a fundamental property of all matter. It is, in effect, the resistance that the spring offers to a change in its speed or position upon the application of a force and is represented as m = k/(4*ω)^2 or Mass of Helical Spring = Stiffness of Spring/(4*Angular Frequency of Helical Spring)^2. Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation, every object in this universe has some stiffness & Angular Frequency of Helical Spring is the frequency of vibration or the oscillation frequency of a spring.

How to calculate Mass of Spring given Natural angular frequency of Spring whose one end is free?

Mass of Spring given Natural angular frequency of Spring whose one end is free formula is a quantitative measure of inertia, a fundamental property of all matter. It is, in effect, the resistance that the spring offers to a change in its speed or position upon the application of a force is calculated using Mass of Helical Spring = Stiffness of Spring/(4*Angular Frequency of Helical Spring)^2. To calculate Mass of Spring given Natural angular frequency of Spring whose one end is free, 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/(2*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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