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Length of wire given resisting force on wire and diameter of wire Formula

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Length of wire is the measurement or extent of wirer from end to end. Check FAQs

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

L - Length of wire?F - Force?G_wire - Diameter of Wire?σ_w - Stress in wire due to fluid pressure?π - Archimedes' constant?

Length of wire given resisting force on wire and diameter of wire Example

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Here is how the Length of wire given resisting force on wire and diameter of wire equation looks like with Values.

Here is how the Length of wire given resisting force on wire and diameter of wire equation looks like with Units.

Here is how the Length of wire given resisting force on wire and diameter of wire equation looks like.

26.5258 = \frac{1.2}{(\frac{3.1416}{2}) \cdot 3.6 \cdot 8}

26.5258mm = \frac{1.2kN}{(\frac{3.1416}{2}) \cdot 3.6mm \cdot 8MPa}

26.5258 = \frac{1.2}{(\frac{3.1416}{2}) \cdot 3.6 \cdot 8}

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Length of wire given resisting force on wire and diameter of wire Solution

Follow our step by step solution on how to calculate Length of wire given resisting force on wire and diameter of wire?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = \frac{1.2kN}{(\frac{π}{2}) \cdot 3.6mm \cdot 8MPa}

Next Step Substitute values of Constants

∴

L = \frac{1.2kN}{(\frac{3.1416}{2}) \cdot 3.6mm \cdot 8MPa}

Next Step Convert Units

∴

L = \frac{1200N}{(\frac{3.1416}{2}) \cdot 0.0036m \cdot 8E+6Pa}

Next Step Prepare to Evaluate

∴

L = \frac{1200}{(\frac{3.1416}{2}) \cdot 0.0036 \cdot 8E+6}

Next Step Evaluate

∴

L = 0.0265258238486492m

Next Step Convert to Output's Unit

∴

L = 26.5258238486492mm

LAST Step Rounding Answer

∴

L = 26.5258mm

Length of wire given resisting force on wire and diameter of wire Formula Elements

Variables

Constants

Length of wire

Length of wire is the measurement or extent of wirer from end to end.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length 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

Stress in wire due to fluid pressure

Stress in wire due to fluid pressure is a kind of tensile stress exerted on wire due to fluid pressure.

Symbol: σ_w

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Stress in wire due to fluid pressure

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

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

Go Number of turns of wire in length 'L'

N = \frac{L}{G wire}

How to Evaluate Length of wire given resisting force on wire and diameter of wire?

Length of wire given resisting force on wire and diameter of wire evaluator uses Length of wire = Force/((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure) to evaluate the Length of wire, Length of wire given resisting force on wire and diameter of wire is the measurement or extent of something from end to end. Length of wire is denoted by L symbol.

How to evaluate Length of wire given resisting force on wire and diameter of wire using this online evaluator? To use this online evaluator for Length of wire given resisting force on wire and diameter of wire, enter Force (F), Diameter of Wire (G_wire) & Stress in wire due to fluid pressure (σ_w) and hit the calculate button.

FAQs on Length of wire given resisting force on wire and diameter of wire

What is the formula to find Length of wire given resisting force on wire and diameter of wire?

The formula of Length of wire given resisting force on wire and diameter of wire is expressed as Length of wire = Force/((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure). Here is an example- 26525.82 = 1200/((pi/2)*0.0036*8000000).

How to calculate Length of wire given resisting force on wire and diameter of wire?

With Force (F), Diameter of Wire (G_wire) & Stress in wire due to fluid pressure (σ_w) we can find Length of wire given resisting force on wire and diameter of wire using the formula - Length of wire = Force/((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure). This formula also uses Archimedes' constant .

Can the Length of wire given resisting force on wire and diameter of wire be negative?

No, the Length of wire given resisting force on wire and diameter of wire, measured in Length cannot be negative.

Which unit is used to measure Length of wire given resisting force on wire and diameter of wire?

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

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Length of wire given resisting force on wire and diameter of wire Formula

Length of wire given resisting force on wire and diameter of wire Example

Length of wire given resisting force on wire and diameter of wire Solution

Length of wire given resisting force on wire and diameter of wire Formula Elements

Other formulas in Wire Parameters category

How to Evaluate Length of wire given resisting force on wire and diameter of wire?

FAQs on Length of wire given resisting force on wire and diameter of wire

Variable Name