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*ωnat)^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*ωnat)^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 00.013 seconds)

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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*ωnat)^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 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*ωnat)^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 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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