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

STEP 0: Pre-Calculation Summary
Formula Used
Length of wire = Force/((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure)
L = F/((pi/2)*Gwire*ฯƒw)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Length of wire - (Measured in Meter) - Length of wire is the measurement or extent of wirer from end to end.
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.
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)
Diameter of Wire: 3.6 Millimeter --> 0.0036 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
L = F/((pi/2)*Gwire*ฯƒw) --> 1200/((pi/2)*0.0036*8000000)
Evaluating ... ...
L = 0.0265258238486492
STEP 3: Convert Result to Output's Unit
0.0265258238486492 Meter -->26.5258238486492 Millimeter (Check conversion here)
FINAL ANSWER
26.5258238486492 โ‰ˆ 26.52582 Millimeter <-- Length of wire
(Calculation completed in 00.020 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verified by Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has verified this Calculator and 1900+ more calculators!

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

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

Length of wire = Force/((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure)
L = F/((pi/2)*Gwire*ฯƒw)

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

Length of wire given resisting force on wire and diameter of wire calculator uses Length of wire = Force/((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure) to calculate the Length of wire, Length of wire given resisting force on wire and diameter of wire is the measurement or extent of something from end to end. Length of wire is denoted by L symbol.

How to calculate Length of wire given resisting force on wire and diameter of wire using this online calculator? To use this online calculator for Length of wire given resisting force on wire and diameter of wire, enter Force (F), Diameter of Wire (Gwire) & Stress in wire due to fluid pressure (ฯƒw) and hit the calculate button. Here is how the Length of wire given resisting force on wire and diameter of wire calculation can be explained with given input values -> 26525.82 = 1200/((pi/2)*0.0036*8000000).

FAQ

What is Length of wire given resisting force on wire and diameter of wire?
Length of wire given resisting force on wire and diameter of wire is the measurement or extent of something from end to end and is represented as L = F/((pi/2)*Gwire*ฯƒw) or Length of wire = Force/((pi/2)*Diameter of 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, Diameter of Wire is the diameter of the wire in thread measurements & Stress in wire due to fluid pressure is a kind of tensile stress exerted on wire due to fluid pressure.
How to calculate Length of wire given resisting force on wire and diameter of wire?
Length of wire given resisting force on wire and diameter of wire is the measurement or extent of something from end to end is calculated using Length of wire = Force/((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure). To calculate Length of wire given resisting force on wire and diameter of wire, you need Force (F), Diameter of Wire (Gwire) & Stress in wire due to fluid pressure (ฯƒw). With our tool, you need to enter the respective value for Force, Diameter 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.
Let Others Know
โœ–
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!