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Number of turns in wire for length 'L' given initial tensile force in wire Formula

GoNumber of turns of wire in length 'L' Formula

GoNumber of turns of wire given resisting force on wire Formula

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The number of turns of wire is the number of turns of wire over the thin cylinder. Check FAQs

N = \frac{F}{(((\frac{π}{2}) \cdot ({G wire}^{2}))) \cdot σ w}

N - Number of turns of wire?F - Force?G_wire - Diameter of Wire?σ_w - Initial Winding Stress?π - Archimedes' constant?

Number of turns in wire for length 'L' given initial tensile force in wire Example

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Here is how the Number of turns in wire for length 'L' given initial tensile force in wire equation looks like with Values.

Here is how the Number of turns in wire for length 'L' given initial tensile force in wire equation looks like with Units.

Here is how the Number of turns in wire for length 'L' given initial tensile force in wire equation looks like.

6.5496 = \frac{1.2}{(((\frac{3.1416}{2}) \cdot ({3.6}^{2}))) \cdot 9}

6.5496 = \frac{1.2kN}{(((\frac{3.1416}{2}) \cdot ({3.6mm}^{2}))) \cdot 9MPa}

6.5496 = \frac{1.2}{(((\frac{3.1416}{2}) \cdot ({3.6}^{2}))) \cdot 9}

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Number of turns in wire for length 'L' given initial tensile force in wire Solution

Follow our step by step solution on how to calculate Number of turns in wire for length 'L' given initial tensile force in wire?

FIRST Step Consider the formula

N = \frac{F}{(((\frac{π}{2}) \cdot ({G wire}^{2}))) \cdot σ w}

Next Step Substitute values of Variables

∴

N = \frac{1.2kN}{(((\frac{π}{2}) \cdot ({3.6mm}^{2}))) \cdot 9MPa}

Next Step Substitute values of Constants

∴

N = \frac{1.2kN}{(((\frac{3.1416}{2}) \cdot ({3.6mm}^{2}))) \cdot 9MPa}

Next Step Convert Units

∴

N = \frac{1200N}{(((\frac{3.1416}{2}) \cdot ({0.0036m}^{2}))) \cdot 9E+6Pa}

Next Step Prepare to Evaluate

∴

N = \frac{1200}{(((\frac{3.1416}{2}) \cdot ({0.0036}^{2}))) \cdot 9E+6}

Next Step Evaluate

∴

N = 6.54958613546895

LAST Step Rounding Answer

∴

N = 6.5496

Number of turns in wire for length 'L' given initial tensile force in wire Formula Elements

Variables

Constants

Number of turns of wire

The number of turns of wire is the number of turns of wire over the thin cylinder.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of turns of wire

Force

Force is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.

Symbol: F

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Force

Diameter of Wire

Diameter of Wire is the diameter of the wire in thread measurements.

Symbol: G_wire

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Wire

Initial Winding Stress

Initial Winding Stress is the tensile stress produced in the winding wire.

Symbol: σ_w

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Initial Winding Stress

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 turns of wire

Go Number of turns of wire in length 'L'

N = \frac{L}{G wire}

Go Number of turns of wire given resisting force on wire

N = \frac{F}{(2 \cdot A cs) \cdot σ w}

Other formulas in Wire Parameters category

Go Length of cylinder given initial compressive force in cylinder for length L

L cylinder = \frac{F compressive}{2 \cdot t \cdot F circumference}

Go Thickness of cylinder given initial compressive force in cylinder for length 'L'

t = \frac{F compressive}{2 \cdot L cylinder \cdot F circumference}

Go Length of cylinder given number of turns of wire in length 'L'

L cylinder = N \cdot G wire

Go Length of cylinder given initial tensile force in wire

L cylinder = \frac{F}{(\frac{π}{2}) \cdot G wire \cdot σ w}

How to Evaluate Number of turns in wire for length 'L' given initial tensile force in wire?

Number of turns in wire for length 'L' given initial tensile force in wire evaluator uses Number of turns of wire = Force/((((pi/2)*(Diameter of Wire^2)))*Initial Winding Stress) to evaluate the Number of turns of wire, Number of turns in wire for length 'L' given initial tensile force in wire is the total value or number of turns of the wire over a thin cylindrical shell. Number of turns of wire is denoted by N symbol.

How to evaluate Number of turns in wire for length 'L' given initial tensile force in wire using this online evaluator? To use this online evaluator for Number of turns in wire for length 'L' given initial tensile force in wire, enter Force (F), Diameter of Wire (G_wire) & Initial Winding Stress (σ_w) and hit the calculate button.

FAQs on Number of turns in wire for length 'L' given initial tensile force in wire

What is the formula to find Number of turns in wire for length 'L' given initial tensile force in wire?

The formula of Number of turns in wire for length 'L' given initial tensile force in wire is expressed as Number of turns of wire = Force/((((pi/2)*(Diameter of Wire^2)))*Initial Winding Stress). Here is an example- 6.549586 = 1200/((((pi/2)*(0.0036^2)))*9000000).

How to calculate Number of turns in wire for length 'L' given initial tensile force in wire?

With Force (F), Diameter of Wire (G_wire) & Initial Winding Stress (σ_w) we can find Number of turns in wire for length 'L' given initial tensile force in wire using the formula - Number of turns of wire = Force/((((pi/2)*(Diameter of Wire^2)))*Initial Winding Stress). This formula also uses Archimedes' constant .

What are the other ways to Calculate Number of turns of wire?

Here are the different ways to Calculate Number of turns of wire-

Number of turns of wire=Length of wire/Diameter of Wire
Number of turns of wire=Force/((2*Cross-Sectional Area Wire)*Stress in wire due to fluid pressure)

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Number of turns in wire for length 'L' given initial tensile force in wire Formula

​GoNumber of turns of wire in length 'L' Formula

​GoNumber of turns of wire given resisting force on wire Formula

Number of turns in wire for length 'L' given initial tensile force in wire Example

Number of turns in wire for length 'L' given initial tensile force in wire Solution

Number of turns in wire for length 'L' given initial tensile force in wire Formula Elements

Other Formulas to find Number of turns of wire

Other formulas in Wire Parameters category

How to Evaluate Number of turns in wire for length 'L' given initial tensile force in wire?

FAQs on Number of turns in wire for length 'L' given initial tensile force in wire

Variable Name

GoNumber of turns of wire in length 'L' Formula

GoNumber of turns of wire given resisting force on wire Formula