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Number of Coils given Total Length of Wire of Spring Formula

GoNumber of Coils given Strain Energy Stored by Spring Formula

GoNumber of Coils given Deflection of Spring Formula

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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. Check FAQs

N = \frac{L wire}{2 \cdot π \cdot R}

N - Number of Coils?L_wire - Length of Wire of Spring?R - Mean Radius Spring Coil?π - Archimedes' constant?

Number of Coils given Total Length of Wire of Spring Example

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Here is how the Number of Coils given Total Length of Wire of Spring equation looks like with Values.

Here is how the Number of Coils given Total Length of Wire of Spring equation looks like with Units.

Here is how the Number of Coils given Total Length of Wire of Spring equation looks like.

0.2238 = \frac{450}{2 \cdot 3.1416 \cdot 320}

0.2238 = \frac{450mm}{2 \cdot 3.1416 \cdot 320mm}

0.2238 = \frac{450}{2 \cdot 3.1416 \cdot 320}

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Number of Coils given Total Length of Wire of Spring Solution

Follow our step by step solution on how to calculate Number of Coils given Total Length of Wire of Spring?

FIRST Step Consider the formula

N = \frac{L wire}{2 \cdot π \cdot R}

Next Step Substitute values of Variables

∴

N = \frac{450mm}{2 \cdot π \cdot 320mm}

Next Step Substitute values of Constants

∴

N = \frac{450mm}{2 \cdot 3.1416 \cdot 320mm}

Next Step Convert Units

∴

N = \frac{0.45m}{2 \cdot 3.1416 \cdot 0.32m}

Next Step Prepare to Evaluate

∴

N = \frac{0.45}{2 \cdot 3.1416 \cdot 0.32}

Next Step Evaluate

∴

N = 0.223811638722978

LAST Step Rounding Answer

∴

N = 0.2238

Number of Coils given Total Length of Wire of Spring Formula Elements

Variables

Constants

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.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Coils

Length of Wire of Spring

Length of Wire of Spring is the measurement or extent of something from end to end.

Symbol: L_wire

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Wire of Spring

Mean Radius Spring Coil

Mean Radius Spring Coil is the mean radius of the coils of spring.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Radius Spring Coil

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 Number of Coils

Go Number of Coils given Strain Energy Stored by Spring

N = \frac{U \cdot G \cdot d^{4}}{32 \cdot P^{2} \cdot R^{3}}

Go Number of Coils given Deflection of Spring

N = \frac{U \cdot G \cdot d^{4}}{64 \cdot P \cdot R^{3}}

Go Number of Coils of Helical Spring given Stiffness of Spring

N = \frac{G \cdot d^{4}}{64 \cdot R^{3} \cdot k}

Other formulas in Loads and Parameter of Spring category

Go Twisting Moment on Wire of Helical Spring

D = P \cdot R

Go Twisting Moment given Maximum Shear Stress induced in Wire

D = \frac{π \cdot 𝜏 w \cdot d^{3}}{16}

Go Maximum Shear Stress induced in Wire given Twisting Moment

𝜏 w = \frac{16 \cdot D}{π \cdot d^{3}}

Go Maximum Shear Stress induced in Wire

𝜏 w = \frac{16 \cdot P \cdot R}{π \cdot d^{3}}

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

Number of Coils given Total Length of Wire of Spring evaluator uses Number of Coils = Length of Wire of Spring/(2*pi*Mean Radius Spring Coil) to evaluate 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 evaluate Number of Coils given Total Length of Wire of Spring using this online evaluator? To use this online evaluator for Number of Coils given Total Length of Wire of Spring, enter Length of Wire of Spring (L_wire) & Mean Radius Spring Coil (R) and hit the calculate button.

FAQs on Number of Coils given Total Length of Wire of Spring

What is the formula to find Number of Coils given Total Length of Wire of Spring?

The formula of Number of Coils given Total Length of Wire of Spring is expressed as Number of Coils = Length of Wire of Spring/(2*pi*Mean Radius Spring Coil). Here is an example- 0.223812 = 0.45/(2*pi*0.32).

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

With Length of Wire of Spring (L_wire) & Mean Radius Spring Coil (R) we can find Number of Coils given Total Length of Wire of Spring using the formula - Number of Coils = Length of Wire of Spring/(2*pi*Mean Radius Spring Coil). This formula also uses Archimedes' constant .

What are the other ways to Calculate Number of Coils?

Here are the different ways to Calculate Number of Coils-

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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