Number of turns in wire for length 'L' given initial tensile force in 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%
✖Diameter of Wire is the diameter of the wire in thread measurements.ⓘ Diameter of Wire [G_wire]			+10% -10%
✖Initial Winding Stress is the tensile stress produced in the winding wire.ⓘ Initial Winding Stress [σ_w]			+10% -10%

✖The number of turns of wire is the number of turns of wire over the thin cylinder.ⓘ Number of turns in wire for length 'L' given initial tensile force in wire [N]

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Formula

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

Formula

`"N" = "F"/((((pi/2)*("G"_{"wire"}^2)))*"σ"_{"w"})`

Example

`"6.549586"="1.2kN"/((((pi/2)*(("3.6mm")^2)))*"9MPa")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Number of turns of wire = Force/((((pi/2)*(Diameter of Wire^2)))*Initial Winding Stress)
N = F/((((pi/2)*(G_wire^2)))*σ_w)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Diameter of Wire - (Measured in Meter) - Diameter of Wire is the diameter of the wire in thread measurements.
Initial Winding Stress - (Measured in Pascal) - Initial Winding Stress is the tensile stress produced in the winding wire.

STEP 1: Convert Input(s) to Base Unit

Force: 1.2 Kilonewton --> 1200 Newton (Check conversion here)
Diameter of Wire: 3.6 Millimeter --> 0.0036 Meter (Check conversion here)
Initial Winding Stress: 9 Megapascal --> 9000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = F/((((pi/2)*(G_wire^2)))*σ_w) --> 1200/((((pi/2)*(0.0036^2)))*9000000)

Evaluating ... ...

N = 6.54958613546895

STEP 3: Convert Result to Output's Unit

6.54958613546895 --> No Conversion Required

FINAL ANSWER

6.54958613546895 ≈ 6.549586 <-- Number of turns of wire

(Calculation completed in 00.020 seconds)

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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 in wire for length 'L' given initial tensile force in wire Formula

Number of turns of wire = Force/((((pi/2)*(Diameter of Wire^2)))*Initial Winding Stress)
N = F/((((pi/2)*(G_wire^2)))*σ_w)

What is tensile strength with example?

Tensile strength is a measurement of the force required to pull something such as rope, wire, or a structural beam to the point where it breaks. The tensile strength of a material is the maximum amount of tensile stress that it can take before failure, for example, breaking.

How to Calculate 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 calculator uses Number of turns of wire = Force/((((pi/2)*(Diameter of Wire^2)))*Initial Winding Stress) to calculate 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 calculate Number of turns in wire for length 'L' given initial tensile force in wire using this online calculator? To use this online calculator 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. Here is how the Number of turns in wire for length 'L' given initial tensile force in wire calculation can be explained with given input values -> 6.549586 = 1200/((((pi/2)*(0.0036^2)))*9000000).

FAQ

What is 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 is the total value or number of turns of the wire over a thin cylindrical shell and is represented as N = F/((((pi/2)*(G_wire^2)))*σ_w) or Number of turns of wire = Force/((((pi/2)*(Diameter of Wire^2)))*Initial Winding Stress). 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, Diameter of Wire is the diameter of the wire in thread measurements & Initial Winding Stress is the tensile stress produced in the winding wire.

How to calculate 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 is the total value or number of turns of the wire over a thin cylindrical shell is calculated using Number of turns of wire = Force/((((pi/2)*(Diameter of Wire^2)))*Initial Winding Stress). To calculate Number of turns in wire for length 'L' given initial tensile force in wire, you need Force (F), Diameter of Wire (G_wire) & Initial Winding Stress (σ_w). With our tool, you need to enter the respective value for Force, Diameter of Wire & Initial Winding Stress 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, Diameter of Wire & Initial Winding Stress. We can use 2 other way(s) to calculate the same, which is/are as follows -

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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