Number of turns 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%
✖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.ⓘ Cross-Sectional Area Wire [A_cs]			+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%

✖The number of turns of wire is the number of turns of wire over the thin cylinder.ⓘ Number of turns of wire given resisting force on wire [N]

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Formula

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Number of turns of wire given resisting force on wire

Formula

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

Example

`"0.1875"="1.2kN"/((2*"400mm²")*"8MPa")`

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Number of turns of wire given resisting force on wire Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Number of turns of wire - The number of turns of wire is the number of turns of wire over the thin cylinder.
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.
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.
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)
Cross-Sectional Area Wire: 400 Square Millimeter --> 0.0004 Square Meter (Check conversion here)
Stress in wire due to fluid pressure: 8 Megapascal --> 8000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = F/((2*A_cs)*σ_w) --> 1200/((2*0.0004)*8000000)

Evaluating ... ...

N = 0.1875

STEP 3: Convert Result to Output's Unit

0.1875 --> No Conversion Required

FINAL ANSWER

0.1875 <-- Number of turns of 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

Number of turns of wire given resisting force on wire Formula

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

Number of turns of wire given resisting force on wire calculator uses Number of turns of wire = Force/((2*Cross-Sectional Area Wire)*Stress in wire due to fluid pressure) to calculate the Number of turns of wire, Number of turns of wire given resisting force on wire is the value of several turns of wire over a thin cylindrical shell. Number of turns of wire is denoted by N symbol.

How to calculate Number of turns of wire given resisting force on wire using this online calculator? To use this online calculator for Number of turns of wire given resisting force on wire, enter Force (F), Cross-Sectional Area Wire (A_cs) & Stress in wire due to fluid pressure (σ_w) and hit the calculate button. Here is how the Number of turns of wire given resisting force on wire calculation can be explained with given input values -> 0.1875 = 1200/((2*0.0004)*8000000).

FAQ

What is Number of turns of wire given resisting force on wire?

Number of turns of wire given resisting force on wire is the value of several turns of wire over a thin cylindrical shell and is represented as N = F/((2*A_cs)*σ_w) or Number of turns of wire = Force/((2*Cross-Sectional Area Wire)*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, 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 & Stress in wire due to fluid pressure is a kind of tensile stress exerted on wire due to fluid pressure.

How to calculate Number of turns of wire given resisting force on wire?

Number of turns of wire given resisting force on wire is the value of several turns of wire over a thin cylindrical shell is calculated using Number of turns of wire = Force/((2*Cross-Sectional Area Wire)*Stress in wire due to fluid pressure). To calculate Number of turns of wire given resisting force on wire, you need Force (F), Cross-Sectional Area Wire (A_cs) & Stress in wire due to fluid pressure (σ_w). With our tool, you need to enter the respective value for Force, Cross-Sectional Area 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.

How many ways are there to calculate Number of turns of wire?

In this formula, Number of turns of wire uses Force, Cross-Sectional Area Wire & Stress in wire due to fluid pressure. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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