Mass of Spring Calculator

✖Diameter of spring wire is the distance across the spring wire, which affects the spring's stiffness and its ability to store energy.ⓘ Diameter of spring wire [d]			+10% -10%
✖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.ⓘ Mean Coil Diameter of Spring [D]			+10% -10%
✖Total Coils in Spring is the number of coils present in a spring, which affects its stiffness, strength, and overall performance under surge conditions.ⓘ Total Coils in Spring [N_t]			+10% -10%
✖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.ⓘ Mass Density of Spring Wire [ρ]			+10% -10%

✖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.ⓘ Mass of Spring [m]

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Mass of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
m = ((pi*(d^2)/4))*(pi*D*N_t)*(ρ)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Diameter of spring wire - (Measured in Meter) - Diameter of spring wire is the distance across the spring wire, which affects the spring's stiffness and its ability to store energy.
Mean Coil Diameter of Spring - (Measured in Meter) - 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.
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.
Mass Density of Spring Wire - (Measured in Kilogram per Cubic Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Diameter of spring wire: 4 Millimeter --> 0.004 Meter (Check conversion here)
Mean Coil Diameter of Spring: 35.77 Millimeter --> 0.03577 Meter (Check conversion here)
Total Coils in Spring: 10 --> No Conversion Required
Mass Density of Spring Wire: 8500 Kilogram per Cubic Meter --> 8500 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = ((pi*(d^2)/4))*(pi*D*N_t)*(ρ) --> ((pi*(0.004^2)/4))*(pi*0.03577*10)*(8500)

Evaluating ... ...

m = 0.120032154805169

STEP 3: Convert Result to Output's Unit

0.120032154805169 Kilogram --> No Conversion Required

FINAL ANSWER

0.120032154805169 ≈ 0.120032 Kilogram <-- Mass of Helical Spring

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Helical Springs » Mechanical » Surge in Springs » Mass of Spring

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Surge in Springs Calculators

Shear stress in spring

LaTeX Go Shear Stress in Spring = Shear Stress Correction Factor of Spring*(8*Axial Spring Force*Spring Index)/(pi*Diameter of spring wire^2)

Solid Length of Spring

LaTeX Go Solid Length of Spring = Total Coils in Spring*Diameter of spring wire

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

LaTeX Go Deflection of Spring = Axial Spring Force/Stiffness of Spring

Axial Spring Force given Stiffness of Spring

LaTeX Go Axial Spring Force = Stiffness of Spring*Deflection of Spring

Mass of Spring Formula

LaTeX Go

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)
m = ((pi*(d^2)/4))*(pi*D*N_t)*(ρ)

Define Mass Density?

The density (more precisely, the volumetric mass density; also known as specific mass), of a substance is its mass per unit volume. The symbol most often used for density is ρ (the lower case Greek letter rho), although the Latin letter D can also be used.

How to Calculate Mass of Spring?

Mass of Spring calculator 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 calculate 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 calculate Mass of Spring using this online calculator? To use this online calculator 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. Here is how the Mass of Spring calculation can be explained with given input values -> 0.119965 = ((pi*(0.004^2)/4))*(pi*0.03577*10)*(8500).

FAQ

What is Mass of 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 and is represented as m = ((pi*(d^2)/4))*(pi*D*N_t)*(ρ) or 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). Diameter of spring wire is the distance across the spring wire, which affects the spring's stiffness and its ability to store energy, 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, Total Coils in Spring is the number of coils present in a spring, which affects its stiffness, strength, and overall performance under surge conditions & 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.

How to calculate Mass of 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 is calculated using 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 calculate Mass of Spring, you need Diameter of spring wire (d), Mean Coil Diameter of Spring (D), Total Coils in Spring (N_t) & Mass Density of Spring Wire (ρ). With our tool, you need to enter the respective value for Diameter of spring wire, Mean Coil Diameter of Spring, Total Coils in Spring & Mass Density of Spring Wire 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 Mass of Helical Spring?

In this formula, Mass of Helical Spring uses Diameter of spring wire, Mean Coil Diameter of Spring, Total Coils in Spring & Mass Density of Spring Wire. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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