Stiffness of Spring given Natural angular frequency of Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Stiffness of Spring = ((2*Angular Frequency of Helical Spring)^2)*Mass of Helical Spring
k = ((2*ω)^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.
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.
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
Angular Frequency of Helical Spring: 124.1639 Revolution per Second --> 124.1639 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 = ((2*ω)^2)*m --> ((2*124.1639)^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 00.021 seconds)

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Osmania University (OU), Hyderabad
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Stiffness of Spring given Natural angular frequency of Spring Formula

​LaTeX ​Go
Stiffness of Spring = ((2*Angular Frequency of Helical Spring)^2)*Mass of Helical Spring
k = ((2*ω)^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?

Stiffness of Spring given Natural angular frequency of Spring calculator uses Stiffness of Spring = ((2*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 formula is defined as a measure of the force required to deform a helical spring by a certain distance, which is dependent on the natural angular frequency of the spring and its mass. Stiffness of Spring is denoted by k symbol.

How to calculate Stiffness of Spring given Natural angular frequency of Spring using this online calculator? To use this online calculator for Stiffness of Spring given Natural angular frequency of Spring, enter Angular Frequency of Helical Spring (ω) & Mass of Helical Spring (m) and hit the calculate button. Here is how the Stiffness of Spring given Natural angular frequency of Spring calculation can be explained with given input values -> 0.0074 = ((2*124.1639)^2)*0.12.

FAQ

What is Stiffness of Spring given Natural angular frequency of Spring?
Stiffness of Spring given Natural angular frequency of Spring formula is defined as a measure of the force required to deform a helical spring by a certain distance, which is dependent on the natural angular frequency of the spring and its mass and is represented as k = ((2*ω)^2)*m or Stiffness of Spring = ((2*Angular Frequency of Helical Spring)^2)*Mass of Helical Spring. Angular Frequency of Helical Spring is the rate of oscillation of a helical spring 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?
Stiffness of Spring given Natural angular frequency of Spring formula is defined as a measure of the force required to deform a helical spring by a certain distance, which is dependent on the natural angular frequency of the spring and its mass is calculated using Stiffness of Spring = ((2*Angular Frequency of Helical Spring)^2)*Mass of Helical Spring. To calculate Stiffness of Spring given Natural angular frequency of Spring, you need Angular Frequency of Helical Spring (ω) & Mass of Helical Spring (m). With our tool, you need to enter the respective value for 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 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 = ((4*Natural Angular Frequency of Helical Spring)^2)*Mass of Helical Spring
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