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

GoStiffness of Spring given Natural angular frequency of Spring 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 = ({(4 \cdot ω nat)}^{2}) \cdot m

k - Stiffness of Spring?ω_nat - Natural Angular Frequency of Helical Spring?m - Mass of Helical Spring?

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

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

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

Here is how the Stiffness of Spring given Natural angular frequency of Spring whose one end is free equation looks like.

7.4 = ({(4 \cdot 62.082)}^{2}) \cdot 0.12

7.4N/mm = ({(4 \cdot 62.082rev/s)}^{2}) \cdot 0.12kg

7.4 = ({(4 \cdot 62.082)}^{2}) \cdot 0.12

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

Follow our step by step solution on how to calculate Stiffness of Spring given Natural angular frequency of Spring whose one end is free?

FIRST Step Consider the formula

k = ({(4 \cdot ω nat)}^{2}) \cdot m

Next Step Substitute values of Variables

∴

k = ({(4 \cdot 62.082rev/s)}^{2}) \cdot 0.12kg

Next Step Convert Units

∴

k = ({(4 \cdot 62.082Hz)}^{2}) \cdot 0.12kg

Next Step Prepare to Evaluate

∴

k = ({(4 \cdot 62.082)}^{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 whose one end is free 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

Natural Angular Frequency 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.

Symbol: ω_nat

Measurement: FrequencyUnit: rev/s

Note: Value should be greater than 0.

Formulas to find Natural 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

k = ({(2 \cdot ω)}^{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 whose one end is free?

Stiffness of Spring given Natural angular frequency of Spring whose one end is free evaluator uses Stiffness of Spring = ((4*Natural 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 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 evaluate Stiffness of Spring given Natural angular frequency of Spring whose one end is free using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Stiffness of Spring given Natural angular frequency of Spring whose one end is free?

The formula of Stiffness of Spring given Natural angular frequency of Spring whose one end is free is expressed as Stiffness of Spring = ((4*Natural Angular Frequency of Helical Spring)^2)*Mass of Helical Spring. Here is an example- 0.0074 = ((4*62.08195)^2)*0.12.

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

With Natural Angular Frequency of Helical Spring (ω_nat) & Mass of Helical Spring (m) we can find Stiffness of Spring given Natural angular frequency of Spring whose one end is free using the formula - Stiffness of Spring = ((4*Natural 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=((2*Angular Frequency of Helical Spring)^2)*Mass of Helical Spring

Can the Stiffness of Spring given Natural angular frequency of Spring whose one end is free be negative?

No, the Stiffness of Spring given Natural angular frequency of Spring whose one end is free, measured in Stiffness Constant cannot be negative.

Which unit is used to measure 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 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 whose one end is free can be measured.

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

​GoStiffness of Spring given Natural angular frequency of Spring Formula

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

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

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

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

Variable Name

GoStiffness of Spring given Natural angular frequency of Spring Formula