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Number of Spring Coils given Stiffness of Spring Formula

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Number of Coils in spring is the total number of turns made by wire along its length. Check FAQs

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

N - Number of Coils?G_Torsion - Modulus of Rigidity?d - Diameter of Spring?R - Mean Radius?K - Stiffness of Spring?

Number of Spring Coils given Stiffness of Spring Example

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Here is how the Number of Spring Coils given Stiffness of Spring equation looks like with Values.

Here is how the Number of Spring Coils given Stiffness of Spring equation looks like with Units.

Here is how the Number of Spring Coils given Stiffness of Spring equation looks like.

9 = \frac{40 \cdot 45^{4}}{64 \cdot 225^{3} \cdot 25}

9 = \frac{40GPa \cdot {45mm}^{4}}{64 \cdot {225mm}^{3} \cdot 25N/mm}

9 = \frac{40 \cdot 45^{4}}{64 \cdot 225^{3} \cdot 25}

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Number of Spring Coils given Stiffness of Spring Solution

Follow our step by step solution on how to calculate Number of Spring Coils given Stiffness of Spring?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

N = \frac{40GPa \cdot {45mm}^{4}}{64 \cdot {225mm}^{3} \cdot 25N/mm}

Next Step Convert Units

∴

N = \frac{4E+10Pa \cdot {0.045m}^{4}}{64 \cdot {0.225m}^{3} \cdot 25000N/m}

Next Step Prepare to Evaluate

∴

N = \frac{4E+10 \cdot {0.045}^{4}}{64 \cdot {0.225}^{3} \cdot 25000}

LAST Step Evaluate

∴

N = 9

Number of Spring Coils given Stiffness of Spring Formula Elements

Variables

Number of Coils

Number of Coils in spring is the total number of turns made by wire along its length.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Coils

Modulus of Rigidity

Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G.

Symbol: G_Torsion

Measurement: PressureUnit: GPa

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity

Diameter of Spring

Diameter of Spring wire is the diameter of the wire from which a spring is made.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Spring

Mean Radius

The Mean Radius of spring coil is the average distance from the centerline of the spring wire to the axis of the spring.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Radius

Stiffness of Spring

Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.

Symbol: K

Measurement: Stiffness ConstantUnit: N/mm

Note: Value can be positive or negative.

Formulas to find Stiffness of Spring

Other formulas in Stiffness category

Go Stiffness of Spring

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

Go Diameter of Spring Wire or Coil given Stiffness of Spring

d = {(\frac{64 \cdot K \cdot R^{3} \cdot N}{G Torsion})}^{\frac{1}{4}}

Go Mean Radius of Spring given Stiffness of Spring

d = {(\frac{64 \cdot K \cdot R^{3} \cdot N}{G_{Torsion}})}^{\frac{1}{4}}

Go Modulus of Rigidity given Stiffness of Spring

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

How to Evaluate Number of Spring Coils given Stiffness of Spring?

Number of Spring Coils given Stiffness of Spring evaluator uses Number of Coils = (Modulus of Rigidity*Diameter of Spring^4)/(64*Mean Radius^3*Stiffness of Spring) to evaluate the Number of Coils, The Number of Spring Coils given Stiffness of Spring formula is defined as the total number of active coils in a helical compression or tension spring based on the spring's stiffness (also known as the spring constant, The stiffness of a spring describes how much force is needed to compress or extend the spring by a unit length. Number of Coils is denoted by N symbol.

How to evaluate Number of Spring Coils given Stiffness of Spring using this online evaluator? To use this online evaluator for Number of Spring Coils given Stiffness of Spring, enter Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Mean Radius (R) & Stiffness of Spring (K) and hit the calculate button.

FAQs on Number of Spring Coils given Stiffness of Spring

What is the formula to find Number of Spring Coils given Stiffness of Spring?

The formula of Number of Spring Coils given Stiffness of Spring is expressed as Number of Coils = (Modulus of Rigidity*Diameter of Spring^4)/(64*Mean Radius^3*Stiffness of Spring). Here is an example- 6.28425 = (40000000000*0.045^4)/(64*0.225^3*25000).

How to calculate Number of Spring Coils given Stiffness of Spring?

With Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Mean Radius (R) & Stiffness of Spring (K) we can find Number of Spring Coils given Stiffness of Spring using the formula - Number of Coils = (Modulus of Rigidity*Diameter of Spring^4)/(64*Mean Radius^3*Stiffness of Spring).

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Number of Spring Coils given Stiffness of Spring Formula

Number of Spring Coils given Stiffness of Spring Example

Number of Spring Coils given Stiffness of Spring Solution

Number of Spring Coils given Stiffness of Spring Formula Elements

Other formulas in Stiffness category

How to Evaluate Number of Spring Coils given Stiffness of Spring?

FAQs on Number of Spring Coils given Stiffness of Spring

Variable Name