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*Nt)*(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 defined as the mass or the amount of material that is contained in the spring.
Diameter of spring wire - (Measured in Meter) - Diameter of spring wire is the diameter of the wire of which a spring is made.
Mean Coil Diameter of Spring - (Measured in Meter) - The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.
Total Coils in Spring - Total Coils in Spring is the total number of coils or turns of spring including the coils at the ends of the spring.
Mass Density of Spring Wire - (Measured in Kilogram per Cubic Meter) - Mass Density of Spring Wire is its mass per unit volume.
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: 36 Millimeter --> 0.036 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*Nt)*(ρ) --> ((pi*(0.004^2)/4))*(pi*0.036*10)*(8500)
Evaluating ... ...
m = 0.120803957869334
STEP 3: Convert Result to Output's Unit
0.120803957869334 Kilogram --> No Conversion Required
FINAL ANSWER
0.120803957869334 0.120804 Kilogram <-- Mass of Helical Spring
(Calculation completed in 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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12 Surge in Springs Calculators

Mass of Spring
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)
Shear stress in spring
Go Shear Stress in Spring = Shear Stress Correction Factor of Spring*(8*Axial Spring Force*Spring Index)/(pi*Diameter of spring wire^2)
Direct shear stress in spring wire
Go Direct Shear Stress in Helical Spring = 4*Axial Spring Force/(pi*Diameter of spring wire^2)
Natural angular frequency of Spring whose one end is free
Go Angular Frequency of Helical Spring = (1/4)*sqrt(Stiffness of Spring/Mass of Helical Spring)
Angular Frequency of Spring
Go Angular Frequency of Helical Spring = (1/2)*sqrt(Stiffness of Spring/Mass of Helical Spring)
Stiffness of Spring given Natural angular frequency of Spring whose one end is free
Go Stiffness of Spring = ((4*Angular Frequency of Helical Spring)^2)*Mass of Helical Spring
Stiffness of Spring given Natural angular frequency of Spring
Go Stiffness of Spring = ((2*Angular Frequency of Helical Spring)^2)*Mass of Helical Spring
Mass of Spring given Natural angular frequency of Spring whose one end is free
Go Mass of Helical Spring = Stiffness of Spring/(4*Angular Frequency of Helical Spring)^2
Mass of Spring given Natural angular frequency of Spring
Go Mass of Helical Spring = Stiffness of Spring/(2*Angular Frequency of Helical Spring)^2
Solid Length of Spring
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
Go Deflection of Spring = Axial Spring Force/Stiffness of Spring
Axial Spring Force given Stiffness of Spring
Go Axial Spring Force = Stiffness of Spring*Deflection of Spring

Mass of Spring 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)
m = ((pi*(d^2)/4))*(pi*D*Nt)*(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, The Mass of Spring formula is a quantitative measure of inertia, a fundamental property of all matter. It is, in effect, the resistance that the spring offers to a change in its speed or position upon the application of a force. 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 (Nt) & 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 -> 0.120804 = ((pi*(0.004^2)/4))*(pi*0.036*10)*(8500).

FAQ

What is Mass of Spring?
The Mass of Spring formula is a quantitative measure of inertia, a fundamental property of all matter. It is, in effect, the resistance that the spring offers to a change in its speed or position upon the application of a force and is represented as m = ((pi*(d^2)/4))*(pi*D*Nt)*(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 diameter of the wire of which a spring is made, The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring, Total Coils in Spring is the total number of coils or turns of spring including the coils at the ends of the spring & Mass Density of Spring Wire is its mass per unit volume.
How to calculate Mass of Spring?
The Mass of Spring formula is a quantitative measure of inertia, a fundamental property of all matter. It is, in effect, the resistance that the spring offers to a change in its speed or position upon the application of a force 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 (Nt) & 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*Angular Frequency of Helical Spring)^2
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