Number of Coils given Total Length of Wire of Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of Coils = Length of Wire of Spring/(2*pi*Mean Radius Spring Coil)
N = Lwire/(2*pi*R)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Number of Coils - The Number of Coils is the number of turns or number of active coils present. The coil is an electromagnet used to generate a magnetic field in an electro-magnetic machine.
Length of Wire of Spring - (Measured in Meter) - Length of Wire of Spring is the measurement or extent of something from end to end.
Mean Radius Spring Coil - (Measured in Meter) - Mean Radius Spring Coil is the mean radius of the coils of spring.
STEP 1: Convert Input(s) to Base Unit
Length of Wire of Spring: 450 Millimeter --> 0.45 Meter (Check conversion here)
Mean Radius Spring Coil: 320 Millimeter --> 0.32 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
N = Lwire/(2*pi*R) --> 0.45/(2*pi*0.32)
Evaluating ... ...
N = 0.223811638722978
STEP 3: Convert Result to Output's Unit
0.223811638722978 --> No Conversion Required
FINAL ANSWER
0.223811638722978 0.223812 <-- Number of Coils
(Calculation completed in 00.004 seconds)

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22 Helical Springs Calculators

Modulus of Rigidity given Strain Energy Stored by Spring
Go Modulus of Rigidity of Spring = (32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Strain Energy*Diameter of Spring Wire^4)
Number of Coils given Strain Energy Stored by Spring
Go Number of Coils = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(32*Axial Load^2*Mean Radius Spring Coil^3)
Strain Energy Stored by Spring
Go Strain Energy = (32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring*Diameter of Spring Wire^4)
Modulus of Rigidity given Deflection of Spring
Go Modulus of Rigidity of Spring = (64*Axial Load*Mean Radius Spring Coil^3*Number of Coils)/(Strain Energy*Diameter of Spring Wire^4)
Number of Coils given Deflection of Spring
Go Number of Coils = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Axial Load*Mean Radius Spring Coil^3)
Number of Coils of Helical Spring given Stiffness of Spring
Go Number of Coils = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Stiffness of Helical Spring)
Modulus of Rigidity given Stiffness of Helical Spring
Go Modulus of Rigidity of Spring = (64*Stiffness of Helical Spring*Mean Radius Spring Coil^3*Number of Coils)/(Diameter of Spring Wire^4)
Stiffness of Helical Spring
Go Stiffness of Helical Spring = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Number of Coils)
Maximum Shear Stress induced in Wire
Go Maximum Shear Stress in Wire = (16*Axial Load*Mean Radius Spring Coil)/(pi*Diameter of Spring Wire^3)
Maximum Shear Stress induced in Wire given Twisting Moment
Go Maximum Shear Stress in Wire = (16*Twisting Moments on Shells)/(pi*Diameter of Spring Wire^3)
Twisting Moment given Maximum Shear Stress induced in Wire
Go Twisting Moments on Shells = (pi*Maximum Shear Stress in Wire*Diameter of Spring Wire^3)/16
Number of Coils given Total Length of Wire of Spring
Go Number of Coils = Length of Wire of Spring/(2*pi*Mean Radius Spring Coil)
Total Length of Wire of Helical Spring given Mean Radius of Spring Roll
Go Length of Wire of Spring = 2*pi*Mean Radius Spring Coil*Number of Coils
Twisting Moment on Wire of Helical Spring
Go Twisting Moments on Shells = Axial Load*Mean Radius Spring Coil
Stiffness of Spring given Deflection of Spring
Go Stiffness of Helical Spring = Axial Load/Deflection of Spring
Deflection of Spring given Stiffness of Spring
Go Deflection of Spring = Axial Load/Stiffness of Helical Spring
Total Length of Wire of Helical Spring
Go Length of Wire of Spring = Length of One Coil*Number of Coils
Work Done on Spring given Axial Load on Spring
Go Work Done = (Axial Load*Deflection of Spring)/2
Deflection of Spring given Work Done on Spring
Go Deflection of Spring = (2*Work Done)/Axial Load
Deflection given Average Load on Spring
Go Deflection of Spring = Work Done/Average Load
Work Done on Spring given Average Load
Go Work Done = Average Load*Deflection of Spring
Average Load on Spring
Go Average Load = Work Done/Deflection of Spring

Number of Coils given Total Length of Wire of Spring Formula

Number of Coils = Length of Wire of Spring/(2*pi*Mean Radius Spring Coil)
N = Lwire/(2*pi*R)

Where does shear stress occur?

The maximum shear stress occurs at the neutral axis and is zero at both the top and bottom surfaces of the beam. Shear flow has the units of force per unit distance.

How to Calculate Number of Coils given Total Length of Wire of Spring?

Number of Coils given Total Length of Wire of Spring calculator uses Number of Coils = Length of Wire of Spring/(2*pi*Mean Radius Spring Coil) to calculate the Number of Coils, The Number of coils given total length of wire of spring formula is defined as the count of a total number of coils in the helical spring. Number of Coils is denoted by N symbol.

How to calculate Number of Coils given Total Length of Wire of Spring using this online calculator? To use this online calculator for Number of Coils given Total Length of Wire of Spring, enter Length of Wire of Spring (Lwire) & Mean Radius Spring Coil (R) and hit the calculate button. Here is how the Number of Coils given Total Length of Wire of Spring calculation can be explained with given input values -> 0.223812 = 0.45/(2*pi*0.32).

FAQ

What is Number of Coils given Total Length of Wire of Spring?
The Number of coils given total length of wire of spring formula is defined as the count of a total number of coils in the helical spring and is represented as N = Lwire/(2*pi*R) or Number of Coils = Length of Wire of Spring/(2*pi*Mean Radius Spring Coil). Length of Wire of Spring is the measurement or extent of something from end to end & Mean Radius Spring Coil is the mean radius of the coils of spring.
How to calculate Number of Coils given Total Length of Wire of Spring?
The Number of coils given total length of wire of spring formula is defined as the count of a total number of coils in the helical spring is calculated using Number of Coils = Length of Wire of Spring/(2*pi*Mean Radius Spring Coil). To calculate Number of Coils given Total Length of Wire of Spring, you need Length of Wire of Spring (Lwire) & Mean Radius Spring Coil (R). With our tool, you need to enter the respective value for Length of Wire of Spring & Mean Radius Spring Coil 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 Number of Coils?
In this formula, Number of Coils uses Length of Wire of Spring & Mean Radius Spring Coil. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Number of Coils = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(32*Axial Load^2*Mean Radius Spring Coil^3)
  • Number of Coils = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Axial Load*Mean Radius Spring Coil^3)
  • Number of Coils = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Stiffness of Helical Spring)
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