Length of Spring Calculator

✖Youngs Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Youngs Modulus [E]			+10% -10%
✖Width of Spring is defined as the total width of the spring when measured in the extended form.ⓘ Width of Spring [b]			+10% -10%
✖Thickness of Spring is an important as Springs made of fat material are stiffer than those made of thin material.ⓘ Thickness of Spring [t]			+10% -10%
✖Flat Spiral Spring Controlling Torque is defined as the controlling torque is provided by two phosphorous bronze flat coiled helical springs.ⓘ Flat Spiral Spring Controlling Torque [T_ci]			+10% -10%

✖Length is the measurement or extent of something from end to end.ⓘ Length of Spring [l]

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Formula

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Length of Spring

Formula

`"l" = "E"*("b"*("t"^3))/"T"_{"ci"}*12`

Example

`"130359.7m"="1000Pa"*("2.22m"*(("5.5")^3))/"34"*12`

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Length of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length = Youngs Modulus*(Width of Spring*(Thickness of Spring^3))/Flat Spiral Spring Controlling Torque*12
l = E*(b*(t^3))/T_ci*12
This formula uses 5 Variables

Variables Used

Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Youngs Modulus - (Measured in Pascal) - Youngs Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Width of Spring - (Measured in Meter) - Width of Spring is defined as the total width of the spring when measured in the extended form.
Thickness of Spring - Thickness of Spring is an important as Springs made of fat material are stiffer than those made of thin material.
Flat Spiral Spring Controlling Torque - Flat Spiral Spring Controlling Torque is defined as the controlling torque is provided by two phosphorous bronze flat coiled helical springs.

STEP 1: Convert Input(s) to Base Unit

Youngs Modulus: 1000 Pascal --> 1000 Pascal No Conversion Required
Width of Spring: 2.22 Meter --> 2.22 Meter No Conversion Required
Thickness of Spring: 5.5 --> No Conversion Required
Flat Spiral Spring Controlling Torque: 34 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l = E*(b*(t^3))/T_ci*12 --> 1000*(2.22*(5.5^3))/34*12

Evaluating ... ...

l = 130359.705882353

STEP 3: Convert Result to Output's Unit

130359.705882353 Meter --> No Conversion Required

FINAL ANSWER

130359.705882353 ≈ 130359.7 Meter <-- Length

(Calculation completed in 00.004 seconds)

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 25 Fundamental Parameters Calculators

Length of Pipe

Go Length = Diameter of Pipe*(2*Head Loss due to Friction*Earth’s Geocentric Gravitational Constant)/(Friction Factor*(Average Velocity^2))

Head Loss

Go Head Loss due to Friction = (Friction Factor*Length*(Average Velocity^2))/(2*Diameter of Pipe*Earth’s Geocentric Gravitational Constant)

Height of plates

Go Height = Difference in Liquid Level*(Capacitance with No Liquid*Magnetic Permeability)/(Capacitance-Capacitance with No Liquid)

Thickness of Spring

Go Thickness of Spring = (Flat Spiral Spring Controlling Torque*(12*Length)/(Youngs Modulus*Width of Spring)^-1/3)

Flat Spiral Spring Controlling Torque

Go Flat Spiral Spring Controlling Torque = (Youngs Modulus*Width of Spring*(Thickness of Spring^3))/(12*Length)

Youngs Modulus of Flat Spring

Go Youngs Modulus = Flat Spiral Spring Controlling Torque*(12*Length)/(Width of Spring*(Thickness of Spring^3))

Width of Spring

Go Width of Spring = (Flat Spiral Spring Controlling Torque*(12*Length)/(Youngs Modulus*Thickness of Spring^3))

Length of Spring

Go Length = Youngs Modulus*(Width of Spring*(Thickness of Spring^3))/Flat Spiral Spring Controlling Torque*12

Distance between boundaries

Go Distance = (Coefficient of Velocity*Area of Cross-Section*Speed of Body)/Resisting Motion in fluid

Boundary area being moved

Go Area of Cross-Section = Resisting Motion in fluid*Distance/(Coefficient of Velocity*Speed of Body)

Torque of moving Coil

Go Torque on Coil = Flux Density*Current*Number of Turns in Coil*Area of Cross-Section*0.001

Weight of Air

Go Weight of Air = (Immersed Depth*Specific Weight*Area of Cross-Section)+Weight of Material

Heat Transfer Coefficient

Go Heat Transfer Coefficient = (Specific Heat*Mass)/(Area of Cross-Section*Time Constant)

Area of thermal contact

Go Area of Cross-Section = (Specific Heat*Mass)/(Heat Transfer Coefficient*Time Constant)

Thermal time constant

Go Time Constant = (Specific Heat*Mass)/(Area of Cross-Section*Heat Transfer Coefficient)

Head Loss Due to Fitting

Go Head Loss due to Friction = (Eddy Loss Coefficient*Average Velocity)/(2*Earth’s Geocentric Gravitational Constant)

Maximum Fiber Stress in Flat Spring

Go Maximum Fiber Stress = (6*Flat Spiral Spring Controlling Torque)/(Width of Spring*Thickness of Spring^2)

Controlling Torque

Go Flat Spiral Spring Controlling Torque = Deflection of Pointer/Angle of Deflection of Galvanometer

Length of weighing platform

Go Length = (Weight of Material*Speed of Body)/Flow Rate

Angular Speed of Former

Go Angular Speed of Former = Linear Velocity of Former/(Breadth Of Former/2)

Angular Speed of Disc

Go Angular Speed of Disc = Damping Constant/Damping Torque

Average Velocity of System

Go Average Velocity = Flow Rate/Area of Cross-Section

Couple

Go Couple Moment = Force*Dynamic Viscosity of a Fluid

Weight on Force Sensor

Go Weight on Force Sensor = Weight of Material-Force

Weight of Displacer

Go Weight of Material = Weight on Force Sensor+Force

Length of Spring Formula

Length = Youngs Modulus*(Width of Spring*(Thickness of Spring^3))/Flat Spiral Spring Controlling Torque*12
l = E*(b*(t^3))/T_ci*12

What is the spring constant k?

The letter k represents the “spring constant,” a number that essentially tells us how “stiff” a spring is. If you have a large value of k, that means more force is required to stretch it a certain length than you would need to stretch a less stiff spring the same length.

How to Calculate Length of Spring?

Length of Spring calculator uses Length = Youngs Modulus*(Width of Spring*(Thickness of Spring^3))/Flat Spiral Spring Controlling Torque*12 to calculate the Length, The Length of Spring formula is defined as the actual length of a compression spring without any sort of load or force being placed on it. When a load or force is placed on a compression spring, its length deflects. Even if the load or force is very small, the length of the spring may travel a few thousandths of an inch. Length is denoted by l symbol.

How to calculate Length of Spring using this online calculator? To use this online calculator for Length of Spring, enter Youngs Modulus (E), Width of Spring (b), Thickness of Spring (t) & Flat Spiral Spring Controlling Torque (T_ci) and hit the calculate button. Here is how the Length of Spring calculation can be explained with given input values -> 1303.597 = 1000*(2.22*(5.5^3))/34*12.

FAQ

What is Length of Spring?

The Length of Spring formula is defined as the actual length of a compression spring without any sort of load or force being placed on it. When a load or force is placed on a compression spring, its length deflects. Even if the load or force is very small, the length of the spring may travel a few thousandths of an inch and is represented as l = E*(b*(t^3))/T_ci*12 or Length = Youngs Modulus*(Width of Spring*(Thickness of Spring^3))/Flat Spiral Spring Controlling Torque*12. Youngs Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain, Width of Spring is defined as the total width of the spring when measured in the extended form, Thickness of Spring is an important as Springs made of fat material are stiffer than those made of thin material & Flat Spiral Spring Controlling Torque is defined as the controlling torque is provided by two phosphorous bronze flat coiled helical springs.

How to calculate Length of Spring?

The Length of Spring formula is defined as the actual length of a compression spring without any sort of load or force being placed on it. When a load or force is placed on a compression spring, its length deflects. Even if the load or force is very small, the length of the spring may travel a few thousandths of an inch is calculated using Length = Youngs Modulus*(Width of Spring*(Thickness of Spring^3))/Flat Spiral Spring Controlling Torque*12. To calculate Length of Spring, you need Youngs Modulus (E), Width of Spring (b), Thickness of Spring (t) & Flat Spiral Spring Controlling Torque (T_ci). With our tool, you need to enter the respective value for Youngs Modulus, Width of Spring, Thickness of Spring & Flat Spiral Spring Controlling Torque 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 Length?

In this formula, Length uses Youngs Modulus, Width of Spring, Thickness of Spring & Flat Spiral Spring Controlling Torque. We can use 4 other way(s) to calculate the same, which is/are as follows -

Length = Diameter of Pipe*(2*Head Loss due to Friction*Earth’s Geocentric Gravitational Constant)/(Friction Factor*(Average Velocity^2))
Length = (Weight of Material*Speed of Body)/Flow Rate
Length = 1/Coefficient of Volumetric Expansion
Length = Number of Gaps in Circle/Ratio of Modulating Frequency

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