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Mass of Spring Formula

GoMass of Spring given Natural angular frequency of Spring Formula

GoMass of Spring given Natural angular frequency of Spring whose one end is free 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 = ((π \cdot \frac{d^{2}}{4})) \cdot (π \cdot D \cdot N t) \cdot (ρ)

m - Mass of Helical Spring?d - Diameter of spring wire?D - Mean Coil Diameter of Spring?N_t - Total Coils in Spring?ρ - Mass Density of Spring Wire?π - Archimedes' constant?

Mass of Spring Example

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Here is how the Mass of Spring equation looks like with Values.

Here is how the Mass of Spring equation looks like with Units.

Here is how the Mass of Spring equation looks like.

0.12 = ((3.1416 \cdot \frac{4^{2}}{4})) \cdot (3.1416 \cdot 35.77 \cdot 10) \cdot (8500)

0.12kg = ((3.1416 \cdot \frac{{4mm}^{2}}{4})) \cdot (3.1416 \cdot 35.77mm \cdot 10) \cdot (8500kg/m³)

0.12 = ((3.1416 \cdot \frac{4^{2}}{4})) \cdot (3.1416 \cdot 35.77 \cdot 10) \cdot (8500)

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Mass of Spring Solution

Follow our step by step solution on how to calculate Mass of Spring?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

m = ((π \cdot \frac{{4mm}^{2}}{4})) \cdot (π \cdot 35.77mm \cdot 10) \cdot (8500kg/m³)

Next Step Substitute values of Constants

∴

m = ((3.1416 \cdot \frac{{4mm}^{2}}{4})) \cdot (3.1416 \cdot 35.77mm \cdot 10) \cdot (8500kg/m³)

Next Step Convert Units

∴

m = ((3.1416 \cdot \frac{{0.004m}^{2}}{4})) \cdot (3.1416 \cdot 0.0358m \cdot 10) \cdot (8500kg/m³)

Next Step Prepare to Evaluate

∴

m = ((3.1416 \cdot \frac{{0.004}^{2}}{4})) \cdot (3.1416 \cdot 0.0358 \cdot 10) \cdot (8500)

Next Step Evaluate

∴

m = 0.120032154805169kg

LAST Step Rounding Answer

∴

m = 0.12kg

Mass of Spring Formula Elements

Variables

Constants

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

Diameter of spring wire

Diameter of spring wire is the distance across the spring wire, which affects the spring's stiffness and its ability to store energy.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of spring wire

Mean Coil Diameter of Spring

Mean Coil Diameter of Spring is the average diameter of the coil in a spring, which affects its stiffness and overall performance in surge applications.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Coil Diameter of Spring

Total Coils in Spring

Total Coils in Spring is the number of coils present in a spring, which affects its stiffness, strength, and overall performance under surge conditions.

Symbol: N_t

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Total Coils in Spring

Mass Density of Spring Wire

Mass Density of Spring Wire is the measure of mass per unit length of a spring wire, which affects the spring's stiffness and oscillation behavior.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Mass Density of Spring Wire

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 given Natural angular frequency of Spring whose one end is free

m = \frac{k}{{(4 \cdot ω nat)}^{2}}

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?

Mass of Spring evaluator uses 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) to evaluate the Mass of Helical Spring, Mass of Spring formula is defined as the measure of the amount of matter in a helical spring, which is a critical parameter in determining the spring's stiffness, strength, and overall performance, and is essential in the design and engineering of mechanical systems that utilize helical springs. Mass of Helical Spring is denoted by m symbol.

How to evaluate Mass of Spring using this online evaluator? To use this online evaluator for Mass of Spring, enter Diameter of spring wire (d), Mean Coil Diameter of Spring (D), Total Coils in Spring (N_t) & Mass Density of Spring Wire (ρ) and hit the calculate button.

FAQs on Mass of Spring

What is the formula to find Mass of Spring?

The formula of Mass of Spring is expressed as 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). Here is an example- 0.119965 = ((pi*(0.004^2)/4))*(pi*0.03577*10)*(8500).

How to calculate Mass of Spring?

With Diameter of spring wire (d), Mean Coil Diameter of Spring (D), Total Coils in Spring (N_t) & Mass Density of Spring Wire (ρ) we can find Mass of Spring using the formula - 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). This formula also uses Archimedes' constant .

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

Can the Mass of Spring be negative?

No, the Mass of Spring, measured in Weight cannot be negative.

Which unit is used to measure Mass of Spring?

Mass of Spring 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 can be measured.

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Mass of Spring Formula

​GoMass of Spring given Natural angular frequency of Spring Formula

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

Mass of Spring Example

Mass of Spring Solution

Mass of Spring Formula Elements

Other Formulas to find Mass of Helical Spring

Other formulas in Surge in Springs category

How to Evaluate Mass of Spring?

FAQs on Mass of Spring

Variable Name

GoMass of Spring given Natural angular frequency of Spring Formula

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