Mass of Spring given Natural angular frequency of Spring whose one end is free 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%
✖Natural Angular Frequency of Helical Spring is the frequency at which a helical spring oscillates when subjected to a surge or sudden force.ⓘ Natural Angular Frequency of Helical Spring [ω_nat]			+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 whose one end is free [m]

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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*Natural Angular Frequency of Helical Spring)^2
m = k/(4*ω_nat)^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.
Natural Angular Frequency of Helical Spring - (Measured in Hertz) - Natural Angular Frequency of Helical Spring is the frequency at which a helical spring oscillates 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)
Natural Angular Frequency of Helical Spring: 62.08195 Revolution per Second --> 62.08195 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = k/(4*ω_nat)^2 --> 7400.004/(4*62.08195)^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 00.004 seconds)

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Osmania University (OU), Hyderabad

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< Surge in Springs Calculators

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Axial Spring Force given Stiffness of Spring

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

LaTeX Go

Mass of Helical Spring = Stiffness of Spring/(4*Natural Angular Frequency of Helical Spring)^2
m = k/(4*ω_nat)^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*Natural 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 defined as the measure of the amount of matter in a spring, which is directly proportional to the spring constant and inversely proportional to the square of the natural angular frequency, providing a crucial parameter in the design and analysis of helical springs. 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) & Natural Angular Frequency of Helical Spring (ω_nat) 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 -> 0.12 = 7400.004/(4*62.08195)^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 defined as the measure of the amount of matter in a spring, which is directly proportional to the spring constant and inversely proportional to the square of the natural angular frequency, providing a crucial parameter in the design and analysis of helical springs and is represented as m = k/(4*ω_nat)^2 or Mass of Helical Spring = Stiffness of Spring/(4*Natural 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 & Natural Angular Frequency of Helical Spring is the frequency at which a helical spring oscillates when subjected to a surge or sudden force.

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 defined as the measure of the amount of matter in a spring, which is directly proportional to the spring constant and inversely proportional to the square of the natural angular frequency, providing a crucial parameter in the design and analysis of helical springs is calculated using Mass of Helical Spring = Stiffness of Spring/(4*Natural 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) & Natural Angular Frequency of Helical Spring (ω_nat). With our tool, you need to enter the respective value for Stiffness of Spring & Natural 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 & Natural 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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