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

✖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 Helical Spring [m]			+10% -10%

✖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 given Natural angular frequency of Spring whose one end is free [k]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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

Natural Angular Frequency of Helical Spring: 62.08195 Revolution per Second --> 62.08195 Hertz (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

k = ((4*ω_nat)^2)*m --> ((4*62.08195)^2)*0.12

Evaluating ... ...

k = 7400.0035503408

STEP 3: Convert Result to Output's Unit

7400.0035503408 Newton per Meter -->7.4000035503408 Newton per Millimeter (Check conversion here)

FINAL ANSWER

7.4000035503408 ≈ 7.400004 Newton per Millimeter <-- Stiffness of 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 » Stiffness of Spring given Natural angular frequency of Spring whose one end is free

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Osmania University (OU), Hyderabad

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

LaTeX Go

Stiffness of Spring = ((4*Natural Angular Frequency of Helical Spring)^2)*Mass of Helical Spring
k = ((4*ω_nat)^2)*m

Define Stiffness of the Spring?

Stiffness is the extent to which an object resists deformation in response to an applied force. The complementary concept is flexibility or pliability: the more flexible an object is, the less stiff it is.

How to Calculate Stiffness of Spring given Natural angular frequency of Spring whose one end is free?

Stiffness of Spring given Natural angular frequency of Spring whose one end is free calculator uses Stiffness of Spring = ((4*Natural Angular Frequency of Helical Spring)^2)*Mass of Helical Spring to calculate the Stiffness of Spring, Stiffness of Spring given Natural angular frequency of Spring whose one end is free formula is defined as the measure of the force required to deform a spring by a unit distance, which is a critical parameter in the design and analysis of helical springs, particularly in mechanical systems where vibration and oscillation are involved. Stiffness of Spring is denoted by k symbol.

How to calculate Stiffness of Spring given Natural angular frequency of Spring whose one end is free using this online calculator? To use this online calculator for Stiffness of Spring given Natural angular frequency of Spring whose one end is free, enter Natural Angular Frequency of Helical Spring (ω_nat) & Mass of Helical Spring (m) and hit the calculate button. Here is how the Stiffness of Spring given Natural angular frequency of Spring whose one end is free calculation can be explained with given input values -> 0.0074 = ((4*62.08195)^2)*0.12.

FAQ

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

Stiffness of Spring given Natural angular frequency of Spring whose one end is free formula is defined as the measure of the force required to deform a spring by a unit distance, which is a critical parameter in the design and analysis of helical springs, particularly in mechanical systems where vibration and oscillation are involved and is represented as k = ((4*ω_nat)^2)*m or Stiffness of Spring = ((4*Natural Angular Frequency of Helical Spring)^2)*Mass of Helical Spring. Natural Angular Frequency of Helical Spring is the frequency at which a helical spring oscillates when subjected to a surge or sudden force & 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 Stiffness of Spring given Natural angular frequency of Spring whose one end is free?

Stiffness of Spring given Natural angular frequency of Spring whose one end is free formula is defined as the measure of the force required to deform a spring by a unit distance, which is a critical parameter in the design and analysis of helical springs, particularly in mechanical systems where vibration and oscillation are involved is calculated using Stiffness of Spring = ((4*Natural Angular Frequency of Helical Spring)^2)*Mass of Helical Spring. To calculate Stiffness of Spring given Natural angular frequency of Spring whose one end is free, you need Natural Angular Frequency of Helical Spring (ω_nat) & Mass of Helical Spring (m). With our tool, you need to enter the respective value for Natural Angular Frequency of Helical 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 Stiffness of Spring?

In this formula, Stiffness of Spring uses Natural Angular Frequency of Helical Spring & Mass of Helical Spring. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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