Diameter of wire given bursting force due to fluid pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Gwire = ((F/L)-(2*t*σc))/((pi/2)*σwire)
This formula uses 1 Constants, 6 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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.
Length of wire - (Measured in Meter) - Length of wire is the measurement or extent of wirer from end to end.
Thickness Of Wire - (Measured in Meter) - Thickness Of Wire is the distance through a wire.
Circumferential stress due to fluid pressure - (Measured in Pascal) - Circumferential stress due to fluid pressure is a kind of tensile stress exerted on cylinder due to fluid pressure.
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: 20 Kilonewton --> 20000 Newton (Check conversion here)
Length of wire: 3500 Millimeter --> 3.5 Meter (Check conversion here)
Thickness Of Wire: 1200 Millimeter --> 1.2 Meter (Check conversion here)
Circumferential stress due to fluid pressure: 0.002 Megapascal --> 2000 Pascal (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
Gwire = ((F/L)-(2*t*σc))/((pi/2)*σwire) --> ((20000/3.5)-(2*1.2*2000))/((pi/2)*8000000)
Evaluating ... ...
Gwire = 7.27565454134379E-05
STEP 3: Convert Result to Output's Unit
7.27565454134379E-05 Meter -->0.0727565454134379 Millimeter (Check conversion here)
FINAL ANSWER
0.0727565454134379 0.072757 Millimeter <-- Diameter of Wire
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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7 Diameter of Wire Calculators

Diameter of wire given bursting force due to fluid pressure
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)
Diameter of wire given initial tensile force in wire
Go Diameter of Wire = sqrt(Force/((Number of turns of wire*((pi/2)))*Initial Winding Stress))
Diameter of wire given compressive circumferential stress exerted by wire
Go Diameter of Wire = (Compressive Circumferential Stress*(4*Thickness Of Wire))/(pi*Initial Winding Stress)
Diameter of wire given resisting force of wire per cm length
Go Diameter of Wire = (2*Force)/(Length of wire*pi*Stress in wire due to fluid pressure)
Diameter of wire given resisting force on wire
Go Diameter of Wire = Force/(Length of wire*(pi/2)*Stress in wire due to fluid pressure)
Diameter of wire given initial tensile force and length of wire
Go Diameter of Wire = Force/(Length of wire*(pi/2)*Initial Winding Stress)
Diameter of wire given number of turns of wire in length L
Go Diameter of Wire = Length of wire/Number of turns of wire

Diameter of wire given bursting force due to fluid pressure Formula

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)
Gwire = ((F/L)-(2*t*σc))/((pi/2)*σwire)

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 Diameter of wire given bursting force due to fluid pressure?

Diameter of wire given bursting force due to fluid pressure calculator uses 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) to calculate the Diameter of Wire, Diameter of wire given bursting force due to fluid pressure 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 Gwire symbol.

How to calculate Diameter of wire given bursting force due to fluid pressure using this online calculator? To use this online calculator for Diameter of wire given bursting force due to fluid pressure, enter Force (F), Length of wire (L), Thickness Of Wire (t), Circumferential stress due to fluid pressure c) & Stress in wire due to fluid pressure wire) and hit the calculate button. Here is how the Diameter of wire given bursting force due to fluid pressure calculation can be explained with given input values -> 72.75655 = ((20000/3.5)-(2*1.2*2000))/((pi/2)*8000000).

FAQ

What is Diameter of wire given bursting force due to fluid pressure?
Diameter of wire given bursting force due to fluid pressure is a chord that runs through the circle's center point. It is the longest possible chord of any circle and is represented as Gwire = ((F/L)-(2*t*σc))/((pi/2)*σwire) or 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). 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, Length of wire is the measurement or extent of wirer from end to end, Thickness Of Wire is the distance through a wire, Circumferential stress due to fluid pressure is a kind of tensile stress exerted on cylinder due to fluid pressure & Stress in wire due to fluid pressure is a kind of tensile stress exerted on wire due to fluid pressure.
How to calculate Diameter of wire given bursting force due to fluid pressure?
Diameter of wire given bursting force due to fluid pressure 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 = ((Force/Length of wire)-(2*Thickness Of Wire*Circumferential stress due to fluid pressure))/((pi/2)*Stress in wire due to fluid pressure). To calculate Diameter of wire given bursting force due to fluid pressure, you need Force (F), Length of wire (L), Thickness Of Wire (t), Circumferential stress due to fluid pressure c) & Stress in wire due to fluid pressure wire). With our tool, you need to enter the respective value for Force, Length of wire, Thickness Of Wire, Circumferential stress due to fluid pressure & 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 Diameter of Wire?
In this formula, Diameter of Wire uses Force, Length of wire, Thickness Of Wire, Circumferential stress due to fluid pressure & Stress in wire due to fluid pressure. We can use 6 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 = (Compressive Circumferential Stress*(4*Thickness Of Wire))/(pi*Initial Winding Stress)
  • Diameter of Wire = sqrt(Force/((Number of turns of wire*((pi/2)))*Initial Winding Stress))
  • Diameter of Wire = Length of wire/Number of turns of wire
  • Diameter of Wire = (2*Force)/(Length of wire*pi*Stress in wire due to fluid pressure)
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