Area of cross-section of wire given resisting force on wire Calculator

✖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.ⓘ Force [F]			+10% -10%
✖The number of turns of wire is the number of turns of wire over the thin cylinder.ⓘ Number of turns of wire [N]			+10% -10%
✖Stress in wire due to fluid pressure is a kind of tensile stress exerted on wire due to fluid pressure.ⓘ Stress in wire due to fluid pressure [σ_w]			+10% -10%

✖Cross-Sectional Area Wire is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Area of cross-section of wire given resisting force on wire [A_cs]

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Formula

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Area of cross-section of wire given resisting force on wire

Formula

`"A"_{"cs"} = "F"/("N"*(2)*"σ"_{"w"})`

Example

`"0.75mm²"="1.2kN"/("100"*(2)*"8MPa")`

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Area of cross-section of wire given resisting force on wire Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cross-Sectional Area Wire = Force/(Number of turns of wire*(2)*Stress in wire due to fluid pressure)
A_cs = F/(N*(2)*σ_w)
This formula uses 4 Variables

Variables Used

Cross-Sectional Area Wire - (Measured in Square Meter) - Cross-Sectional Area Wire is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Force - (Measured in Newton) - 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.
Number of turns of wire - The number of turns of wire is the number of turns of wire over the thin cylinder.
Stress in wire due to fluid pressure - (Measured in Pascal) - Stress in wire due to fluid pressure is a kind of tensile stress exerted on wire due to fluid pressure.

STEP 1: Convert Input(s) to Base Unit

Force: 1.2 Kilonewton --> 1200 Newton (Check conversion here)
Number of turns of wire: 100 --> No Conversion Required
Stress in wire due to fluid pressure: 8 Megapascal --> 8000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_cs = F/(N*(2)*σ_w) --> 1200/(100*(2)*8000000)

Evaluating ... ...

A_cs = 7.5E-07

STEP 3: Convert Result to Output's Unit

7.5E-07 Square Meter -->0.75 Square Millimeter (Check conversion here)

FINAL ANSWER

0.75 Square Millimeter <-- Cross-Sectional Area Wire

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< 23 Wire Winding of Thin Cylinders Calculators

Thickness of cylinder given bursting force due to fluid pressure

Go Thickness Of Wire = ((Force/Length Of Cylindrical Shell)-((pi/2)*Diameter of Wire*Stress in wire because of fluid pressure))/(2*Circumferential stress due to fluid pressure)

Length of cylinder given bursting force due to fluid pressure

Go Length Of Cylindrical Shell = Force/(((2*Thickness Of Wire*Circumferential stress due to fluid pressure)+((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure)))

Young's modulus for cylinder given circumferential strain in cylinder

Go Young's Modulus Cylinder = (Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Circumferential strain

Circumferential strain in cylinder

Go Circumferential strain = (Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Young's Modulus Cylinder

Poisson's ratio given circumferential strain in cylinder

Go Poisson's Ratio = (Circumferential stress due to fluid pressure-(Circumferential strain*Young's Modulus Cylinder))/(Longitudinal Stress)

Thickness of cylinder given compressive circumferential stress exerted by wire

Go Thickness Of Wire = (pi*Diameter of Wire*Initial Winding Stress)/(4*Compressive Circumferential Stress)

Length of cylinder given resisting force of wire per mm length

Go Length Of Cylindrical Shell = (2*Force)/(pi*Diameter of Wire*Stress in wire due to fluid pressure)

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

Go Number of turns of wire = Force/((((pi/2)*(Diameter of Wire^2)))*Initial Winding Stress)

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

Go Length of wire = Force/((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure)

Length of cylinder given initial tensile force in wire

Go Length Of Cylindrical Shell = Force/((pi/2)*Diameter of Wire*Initial Winding Stress)

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

Go Thickness Of Wire = Compressive Force/(2*Length Of Cylindrical Shell*Compressive Circumferential Stress)

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

Go Length Of Cylindrical Shell = Compressive Force/(2*Thickness Of Wire*Compressive Circumferential Stress)

Thickness of cylinder given resisting force of cylinder along longitudinal section

Go Thickness Of Wire = Force/(Circumferential stress due to fluid pressure*2*Length Of Cylindrical Shell)

Length of cylinder given resisting force of cylinder along longitudinal section

Go Length Of Cylindrical Shell = Force/(Circumferential stress due to fluid pressure*2*Thickness Of Wire)

Area of cross-section of wire given resisting force on wire

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

Number of turns of wire given resisting force on wire

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

Internal fluid pressure given longitudinal stress in wire due to fluid pressure

Go Internal Pressure = (Longitudinal Stress*(4*Thickness Of Wire))/(Diameter of Cylinder)

Thickness of cylinder given longitudinal stress in wire due to fluid pressure

Go Thickness Of Wire = ((Internal Pressure*Diameter of Cylinder)/(4*Longitudinal Stress))

Diameter of cylinder given longitudinal stress in wire due to fluid pressure

Go Diameter of Cylinder = (Longitudinal Stress*(4*Thickness Of Wire))/(Internal Pressure)

Young's modulus for wire given strain in wire

Go Young's Modulus Cylinder = Stress in wire due to fluid pressure/Strain in thin shell

Strain in wire

Go Strain in thin shell = Stress in wire due to fluid pressure/Young's Modulus Cylinder

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

Go Length Of Cylindrical Shell = Number of turns of wire*Diameter of Wire

Number of turns of wire in length 'L'

Go Number of turns of wire = Length of wire/Diameter of Wire

Area of cross-section of wire given resisting force on wire Formula

Cross-Sectional Area Wire = Force/(Number of turns of wire*(2)*Stress in wire due to fluid pressure)
A_cs = F/(N*(2)*σ_w)

Is a higher Young's modulus better?

The coefficient of proportionality is Young's modulus. The higher the modulus, the more stress is needed to create the same amount of strain; an idealized rigid body would have an infinite Young's modulus. Conversely, a very soft material such as fluid would deform without force and would have zero Young's Modulus.

How to Calculate Area of cross-section of wire given resisting force on wire?

Area of cross-section of wire given resisting force on wire calculator uses Cross-Sectional Area Wire = Force/(Number of turns of wire*(2)*Stress in wire due to fluid pressure) to calculate the Cross-Sectional Area Wire, The Area of cross-section of wire given resisting force on wire formula is defined as the area of a two-dimensional shape that is obtained when a three-dimensional object such as a cylinder is sliced perpendicular to some specified axis at a point. Cross-Sectional Area Wire is denoted by A_cs symbol.

How to calculate Area of cross-section of wire given resisting force on wire using this online calculator? To use this online calculator for Area of cross-section of wire given resisting force on wire, enter Force (F), Number of turns of wire (N) & Stress in wire due to fluid pressure (σ_w) and hit the calculate button. Here is how the Area of cross-section of wire given resisting force on wire calculation can be explained with given input values -> 750000 = 1200/(100*(2)*8000000).

FAQ

What is Area of cross-section of wire given resisting force on wire?

The Area of cross-section of wire given resisting force on wire formula is defined as the area of a two-dimensional shape that is obtained when a three-dimensional object such as a cylinder is sliced perpendicular to some specified axis at a point and is represented as A_cs = F/(N*(2)*σ_w) or Cross-Sectional Area Wire = Force/(Number of turns of wire*(2)*Stress in wire due to fluid pressure). 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, The number of turns of wire is the number of turns of wire over the thin cylinder & Stress in wire due to fluid pressure is a kind of tensile stress exerted on wire due to fluid pressure.

How to calculate Area of cross-section of wire given resisting force on wire?

The Area of cross-section of wire given resisting force on wire formula is defined as the area of a two-dimensional shape that is obtained when a three-dimensional object such as a cylinder is sliced perpendicular to some specified axis at a point is calculated using Cross-Sectional Area Wire = Force/(Number of turns of wire*(2)*Stress in wire due to fluid pressure). To calculate Area of cross-section of wire given resisting force on wire, you need Force (F), Number of turns of wire (N) & Stress in wire due to fluid pressure (σ_w). With our tool, you need to enter the respective value for Force, Number of turns of wire & Stress in wire due to fluid pressure and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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