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 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.
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.
STEP 1: Convert Input(s) to Base Unit
Angular Frequency of Helical Spring: 121 Revolution per Second --> 121 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*121)^2)*0.12
Evaluating ... ...
k = 7027.68
STEP 3: Convert Result to Output's Unit
7027.68 Newton per Meter -->7.02768 Newton per Millimeter (Check conversion here)
FINAL ANSWER
7.02768 Newton per Millimeter <-- Stiffness of Spring
(Calculation completed in 00.004 seconds)

Credits

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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

Stiffness of Spring given Natural angular frequency of Spring Formula

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 the extent to which an object resists deformation in response to an applied force. 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 -> 0.007028 = ((2*121)^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 the extent to which an object resists deformation in response to an applied force 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 frequency of vibration or the oscillation frequency of a spring & Mass of Helical Spring is defined as the mass or the amount of material that is contained in the spring.
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 the extent to which an object resists deformation in response to an applied force 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*Angular Frequency of Helical Spring)^2)*Mass of Helical Spring
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