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Diameter of wire given initial tensile force in wire Formula

GoDiameter of wire given initial tensile force and length of wire Formula

GoDiameter of wire given resisting force on wire Formula

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

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

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

Diameter of wire given initial tensile force in wire Example

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Here is how the Diameter of wire given initial tensile force in wire equation looks like with Values.

Here is how the Diameter of wire given initial tensile force in wire equation looks like with Units.

Here is how the Diameter of wire given initial tensile force in wire equation looks like.

3.7613 = \sqrt{\frac{20}{(100 \cdot ((\frac{3.1416}{2}))) \cdot 9}}

3.7613mm = \sqrt{\frac{20kN}{(100 \cdot ((\frac{3.1416}{2}))) \cdot 9MPa}}

3.7613 = \sqrt{\frac{20}{(100 \cdot ((\frac{3.1416}{2}))) \cdot 9}}

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Diameter of wire given initial tensile force in wire Solution

Follow our step by step solution on how to calculate Diameter of wire given initial tensile force in wire?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

G wire = \sqrt{\frac{20kN}{(100 \cdot ((\frac{π}{2}))) \cdot 9MPa}}

Next Step Substitute values of Constants

∴

G wire = \sqrt{\frac{20kN}{(100 \cdot ((\frac{3.1416}{2}))) \cdot 9MPa}}

Next Step Convert Units

∴

G wire = \sqrt{\frac{20000N}{(100 \cdot ((\frac{3.1416}{2}))) \cdot 9E+6Pa}}

Next Step Prepare to Evaluate

∴

G wire = \sqrt{\frac{20000}{(100 \cdot ((\frac{3.1416}{2}))) \cdot 9E+6}}

Next Step Evaluate

∴

G wire = 0.00376126389031837m

Next Step Convert to Output's Unit

∴

G wire = 3.76126389031838mm

LAST Step Rounding Answer

∴

G wire = 3.7613mm

Diameter of wire given initial tensile force in wire Formula Elements

Variables

Constants

Functions

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

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Diameter of Wire

Go Diameter of wire given initial tensile force and length of wire

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

Go Diameter of wire given resisting force on wire

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

Go Diameter of wire given bursting force due to fluid pressure

G wire = \frac{(\frac{F}{L}) - (2 \cdot t \cdot σ c)}{(\frac{π}{2}) \cdot σ wire}

Go Diameter of wire given compressive circumferential stress exerted by wire

G wire = \frac{F circumference \cdot (4 \cdot t)}{π \cdot σ w}

How to Evaluate Diameter of wire given initial tensile force in wire?

Diameter of wire given initial tensile force in wire evaluator uses Diameter of Wire = sqrt(Force/((Number of turns of wire*((pi/2)))*Initial Winding Stress)) to evaluate the Diameter of Wire, Diameter of wire given initial tensile force in wire is a chord that runs through the circle's center point. It is the longest possible chord of any circle. Diameter of Wire is denoted by G_wire symbol.

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

FAQs on Diameter of wire given initial tensile force in wire

What is the formula to find Diameter of wire given initial tensile force in wire?

The formula of Diameter of wire given initial tensile force in wire is expressed as Diameter of Wire = sqrt(Force/((Number of turns of wire*((pi/2)))*Initial Winding Stress)). Here is an example- 921.3177 = sqrt(20000/((100*((pi/2)))*9000000)).

How to calculate Diameter of wire given initial tensile force in wire?

With Force (F), Number of turns of wire (N) & Initial Winding Stress (σ_w) we can find Diameter of wire given initial tensile force in wire using the formula - Diameter of Wire = sqrt(Force/((Number of turns of wire*((pi/2)))*Initial Winding Stress)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Diameter of Wire?

Here are the different ways to Calculate Diameter of Wire-

Diameter of Wire=Force/(Length of wire*(pi/2)*Initial Winding Stress)
Diameter of Wire=Force/(Length of wire*(pi/2)*Stress in wire due to fluid pressure)
Diameter of Wire=((Force/Length of wire)-(2*Thickness Of Wire*Circumferential Stress due to Fluid Pressure))/((pi/2)*Stress in wire due to fluid pressure)

Can the Diameter of wire given initial tensile force in wire be negative?

No, the Diameter of wire given initial tensile force in wire, measured in Length cannot be negative.

Which unit is used to measure Diameter of wire given initial tensile force in wire?

Diameter of wire given initial tensile force in wire is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of wire given initial tensile force in wire can be measured.

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Diameter of wire given initial tensile force in wire Formula

​GoDiameter of wire given initial tensile force and length of wire Formula

​GoDiameter of wire given resisting force on wire Formula

Diameter of wire given initial tensile force in wire Example

Diameter of wire given initial tensile force in wire Solution

Diameter of wire given initial tensile force in wire Formula Elements

Other Formulas to find Diameter of Wire

How to Evaluate Diameter of wire given initial tensile force in wire?

FAQs on Diameter of wire given initial tensile force in wire

Variable Name

GoDiameter of wire given initial tensile force and length of wire Formula

GoDiameter of wire given resisting force on wire Formula