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

GoMass of Spring given Natural angular frequency of Spring Formula

GoMass of Spring Formula

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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. Check FAQs

m = \frac{k}{{(4 \cdot ω nat)}^{2}}

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

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

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

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

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

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

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

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

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

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

FIRST Step Consider the formula

m = \frac{k}{{(4 \cdot ω nat)}^{2}}

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

m = \frac{7400.004N/m}{{(4 \cdot 62.082Hz)}^{2}}

Next Step Prepare to Evaluate

∴

m = \frac{7400.004}{{(4 \cdot 62.082)}^{2}}

Next Step Evaluate

∴

m = 0.120000007291767kg

LAST Step Rounding Answer

∴

m = 0.12kg

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

Variables

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

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

Other Formulas to find Mass of Helical Spring

Go Mass of Spring given Natural angular frequency of Spring

m = \frac{k}{{(2 \cdot ω)}^{2}}

Go Mass of Spring

m = ((π \cdot \frac{d^{2}}{4})) \cdot (π \cdot D \cdot N t) \cdot (ρ)

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

Mass of Spring given Natural angular frequency of Spring whose one end is free evaluator uses Mass of Helical Spring = Stiffness of Spring/(4*Natural Angular Frequency of Helical Spring)^2 to evaluate the Mass of Helical Spring, Mass of Spring given Natural angular frequency of Spring whose one end is free formula is defined as the measure of the amount of matter in a spring, which is directly proportional to the spring constant and inversely proportional to the square of the natural angular frequency, providing a crucial parameter in the design and analysis of helical springs. Mass of Helical Spring is denoted by m symbol.

How to evaluate Mass of Spring given Natural angular frequency of Spring whose one end is free using this online evaluator? To use this online evaluator for Mass of Spring given Natural angular frequency of Spring whose one end is free, enter Stiffness of Spring (k) & Natural Angular Frequency of Helical Spring (ω_nat) and hit the calculate button.

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

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

The formula of Mass of Spring given Natural angular frequency of Spring whose one end is free is expressed as Mass of Helical Spring = Stiffness of Spring/(4*Natural Angular Frequency of Helical Spring)^2. Here is an example- 0.12 = 7400.004/(4*62.08195)^2.

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

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

What are the other ways to Calculate Mass of Helical Spring?

Here are the different ways to Calculate Mass of Helical Spring-

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

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

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

Which unit is used to measure Mass of Spring given Natural angular frequency of Spring whose one end is free?

Mass of Spring given Natural angular frequency of Spring whose one end is free is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Mass of Spring given Natural angular frequency of Spring whose one end is free can be measured.

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

​GoMass of Spring given Natural angular frequency of Spring Formula

​GoMass of Spring Formula

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

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

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

Other Formulas to find Mass of Helical Spring

Other formulas in Surge in Springs category

How to Evaluate Mass of Spring given Natural angular frequency of Spring whose one end is free?

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

Variable Name

GoMass of Spring given Natural angular frequency of Spring Formula

GoMass of Spring Formula