Diameter of wire 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%
✖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%
✖Initial Winding Stress is the tensile stress produced in the winding wire.ⓘ Initial Winding Stress [σ_w]			+10% -10%

✖Diameter of Wire is the diameter of the wire in thread measurements.ⓘ Diameter of wire given initial tensile force in wire [G_wire]

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Diameter of wire given initial tensile force in wire Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sqrt(Number)

Variables Used

Diameter of Wire - (Measured in Meter) - Diameter of Wire is the diameter of the wire in thread measurements.
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.
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: 20 Kilonewton --> 20000 Newton (Check conversion here)
Number of turns of wire: 100 --> No Conversion Required
Initial Winding Stress: 9 Megapascal --> 9000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_wire = sqrt(F/((N*((pi/2)))*σ_w)) --> sqrt(20000/((100*((pi/2)))*9000000))

Evaluating ... ...

G_wire = 0.00376126389031837

STEP 3: Convert Result to Output's Unit

0.00376126389031837 Meter -->3.76126389031838 Millimeter (Check conversion here)

FINAL ANSWER

3.76126389031838 ≈ 3.761264 Millimeter <-- Diameter of Wire

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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LaTeX Go 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)

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

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Diameter of wire given initial tensile force and length of wire

LaTeX Go Diameter of Wire = Force/(Length of wire*(pi/2)*Initial Winding Stress)

Diameter of wire given initial tensile force in wire Formula

LaTeX Go

Diameter of Wire = sqrt(Force/((Number of turns of wire*((pi/2)))*Initial Winding Stress))
G_wire = sqrt(F/((N*((pi/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 Diameter of wire given initial tensile force in wire?

Diameter of wire given initial tensile force in wire calculator uses Diameter of Wire = sqrt(Force/((Number of turns of wire*((pi/2)))*Initial Winding Stress)) to calculate 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 calculate Diameter of wire given initial tensile force in wire using this online calculator? To use this online calculator 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. Here is how the Diameter of wire given initial tensile force in wire calculation can be explained with given input values -> 921.3177 = sqrt(20000/((100*((pi/2)))*9000000)).

FAQ

What is Diameter of wire given initial tensile force in 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 and is represented as G_wire = sqrt(F/((N*((pi/2)))*σ_w)) or Diameter of Wire = sqrt(Force/((Number of turns of wire*((pi/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, The number of turns of wire is the number of turns of wire over the thin cylinder & Initial Winding Stress is the tensile stress produced in the winding wire.

How to calculate Diameter of wire given initial tensile force in 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 is calculated using Diameter of Wire = sqrt(Force/((Number of turns of wire*((pi/2)))*Initial Winding Stress)). To calculate Diameter of wire given initial tensile force in wire, you need Force (F), Number of turns of wire (N) & Initial Winding Stress (σ_w). With our tool, you need to enter the respective value for Force, Number of turns 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 Diameter of Wire?

In this formula, Diameter of Wire uses Force, Number of turns of wire & Initial Winding Stress. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)

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