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Stiffness of Spring given Natural angular frequency of Spring Formula

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

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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. Check FAQs

k = ({(2 \cdot ω)}^{2}) \cdot m

k - Stiffness of Spring?ω - Angular Frequency of Helical Spring?m - Mass of Helical Spring?

Stiffness of Spring given Natural angular frequency of Spring Example

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Here is how the Stiffness of Spring given Natural angular frequency of Spring equation looks like with Values.

Here is how the Stiffness of Spring given Natural angular frequency of Spring equation looks like with Units.

Here is how the Stiffness of Spring given Natural angular frequency of Spring equation looks like.

7.4 = ({(2 \cdot 124.1639)}^{2}) \cdot 0.12

7.4N/mm = ({(2 \cdot 124.1639rev/s)}^{2}) \cdot 0.12kg

7.4 = ({(2 \cdot 124.1639)}^{2}) \cdot 0.12

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Stiffness of Spring given Natural angular frequency of Spring Solution

Follow our step by step solution on how to calculate Stiffness of Spring given Natural angular frequency of Spring?

FIRST Step Consider the formula

k = ({(2 \cdot ω)}^{2}) \cdot m

Next Step Substitute values of Variables

∴

k = ({(2 \cdot 124.1639rev/s)}^{2}) \cdot 0.12kg

Next Step Convert Units

∴

k = ({(2 \cdot 124.1639Hz)}^{2}) \cdot 0.12kg

Next Step Prepare to Evaluate

∴

k = ({(2 \cdot 124.1639)}^{2}) \cdot 0.12

Next Step Evaluate

∴

k = 7400.0035503408N/m

Next Step Convert to Output's Unit

∴

k = 7.4000035503408N/mm

LAST Step Rounding Answer

∴

k = 7.4N/mm

Stiffness of Spring given Natural angular frequency of Spring Formula Elements

Variables

Stiffness of Spring

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.

Symbol: k

Measurement: Stiffness ConstantUnit: N/mm

Note: Value should be greater than 0.

Formulas to find Stiffness of Spring

Angular Frequency 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.

Symbol: ω

Measurement: FrequencyUnit: rev/s

Note: Value should be greater than 0.

Formulas to find Angular Frequency of Helical Spring

Mass of Helical Spring

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.

Symbol: m

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Helical Spring

Other Formulas to find Stiffness of Spring

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

k = ({(4 \cdot ω nat)}^{2}) \cdot m

Other formulas in Surge in Springs category

Go Solid Length of Spring

L = N t \cdot d

Go Axial Spring Force given Stiffness of Spring

P = k \cdot δ

Go Axial Deflection of Spring due to Axial load given Stiffness of Spring

δ = \frac{P}{k}

Go Shear stress in spring

𝜏 = K s \cdot \frac{8 \cdot P \cdot C}{π \cdot d^{2}}

How to Evaluate Stiffness of Spring given Natural angular frequency of Spring?

Stiffness of Spring given Natural angular frequency of Spring evaluator uses Stiffness of Spring = ((2*Angular Frequency of Helical Spring)^2)*Mass of Helical Spring to evaluate 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 evaluate Stiffness of Spring given Natural angular frequency of Spring using this online evaluator? To use this online evaluator 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.

FAQs on Stiffness of Spring given Natural angular frequency of Spring

What is the formula to find Stiffness of Spring given Natural angular frequency of Spring?

The formula of Stiffness of Spring given Natural angular frequency of Spring is expressed as Stiffness of Spring = ((2*Angular Frequency of Helical Spring)^2)*Mass of Helical Spring. Here is an example- 0.0074 = ((2*124.1639)^2)*0.12.

How to calculate Stiffness of Spring given Natural angular frequency of Spring?

With Angular Frequency of Helical Spring (ω) & Mass of Helical Spring (m) we can find Stiffness of Spring given Natural angular frequency of Spring using the formula - Stiffness of Spring = ((2*Angular Frequency of Helical Spring)^2)*Mass of Helical Spring.

What are the other ways to Calculate Stiffness of Spring?

Here are the different ways to Calculate Stiffness of Spring-

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

Can the Stiffness of Spring given Natural angular frequency of Spring be negative?

No, the Stiffness of Spring given Natural angular frequency of Spring, measured in Stiffness Constant cannot be negative.

Which unit is used to measure Stiffness of Spring given Natural angular frequency of Spring?

Stiffness of Spring given Natural angular frequency of Spring is usually measured using the Newton per Millimeter[N/mm] for Stiffness Constant. Newton per Meter[N/mm], Kilonewton per Millimeter[N/mm] are the few other units in which Stiffness of Spring given Natural angular frequency of Spring can be measured.

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Stiffness of Spring given Natural angular frequency of Spring Formula

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

Stiffness of Spring given Natural angular frequency of Spring Example

Stiffness of Spring given Natural angular frequency of Spring Solution

Stiffness of Spring given Natural angular frequency of Spring Formula Elements

Other Formulas to find Stiffness of Spring

Other formulas in Surge in Springs category

How to Evaluate Stiffness of Spring given Natural angular frequency of Spring?

FAQs on Stiffness of Spring given Natural angular frequency of Spring

Variable Name

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