Length of Spring Calculator

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✖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%
✖Spring Width is defined as the total width of the spring when measured in the extended form.ⓘ Spring Width [B_s]			+10% -10%
✖Spring Thickness refers to the dimension of a spring that measures the distance between its two opposing surfaces or faces.ⓘ Spring Thickness [t]			+10% -10%
✖Angular Deflection refers to the angular displacement or deviation from an initial position or reference point.ⓘ Angular Deflection [θ]			+10% -10%
✖Controlling torque involves applying force to manage rotational motion, ensuring stability, adjusting speed, and counteracting external influences such as friction or load changes.ⓘ Controlling Torque [T_c]			+10% -10%

✖Former Length refers to the measurement of the longitudinal extent or distance of a component known as a former.ⓘ Length of Spring [L_f]

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Formula

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Length of Spring

Formula

L f = \frac{E \cdot B s \cdot t^{3} \cdot θ}{T c \cdot 12}

Example

0.250696 m = \frac{1000 Pa \cdot 0.86 m \cdot {0.95 m}^{3} \cdot 1.02 rad}{250 N*m \cdot 12}

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Length of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Former Length = (Youngs Modulus*Spring Width*Spring Thickness^3*Angular Deflection)/(Controlling Torque*12)
L_f = (E*B_s*t^3*θ)/(T_c*12)
This formula uses 6 Variables

Variables Used

Former Length - (Measured in Meter) - Former Length refers to the measurement of the longitudinal extent or distance of a component known as a former.
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.
Spring Width - (Measured in Meter) - Spring Width is defined as the total width of the spring when measured in the extended form.
Spring Thickness - (Measured in Meter) - Spring Thickness refers to the dimension of a spring that measures the distance between its two opposing surfaces or faces.
Angular Deflection - (Measured in Radian) - Angular Deflection refers to the angular displacement or deviation from an initial position or reference point.
Controlling Torque - (Measured in Newton Meter) - Controlling torque involves applying force to manage rotational motion, ensuring stability, adjusting speed, and counteracting external influences such as friction or load changes.

STEP 1: Convert Input(s) to Base Unit

Youngs Modulus: 1000 Pascal --> 1000 Pascal No Conversion Required
Spring Width: 0.86 Meter --> 0.86 Meter No Conversion Required
Spring Thickness: 0.95 Meter --> 0.95 Meter No Conversion Required
Angular Deflection: 1.02 Radian --> 1.02 Radian No Conversion Required
Controlling Torque: 250 Newton Meter --> 250 Newton Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_f = (E*B_s*t^3*θ)/(T_c*12) --> (1000*0.86*0.95^3*1.02)/(250*12)

Evaluating ... ...

L_f = 0.25069645

STEP 3: Convert Result to Output's Unit

0.25069645 Meter --> No Conversion Required

FINAL ANSWER

0.25069645 ≈ 0.250696 Meter <-- Former Length

(Calculation completed in 00.004 seconds)

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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Length of Spring Formula

Former Length = (Youngs Modulus*Spring Width*Spring Thickness^3*Angular Deflection)/(Controlling Torque*12)
L_f = (E*B_s*t^3*θ)/(T_c*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 Former Length = (Youngs Modulus*Spring Width*Spring Thickness^3*Angular Deflection)/(Controlling Torque*12) to calculate the Former 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. Former Length is denoted by L_f symbol.

How to calculate Length of Spring using this online calculator? To use this online calculator for Length of Spring, enter Youngs Modulus (E), Spring Width (B_s), Spring Thickness (t), Angular Deflection (θ) & Controlling Torque (T_c) and hit the calculate button. Here is how the Length of Spring calculation can be explained with given input values -> 1.843356 = (1000*0.86*0.95^3*1.02)/(250*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_f = (E*B_s*t^3*θ)/(T_c*12) or Former Length = (Youngs Modulus*Spring Width*Spring Thickness^3*Angular Deflection)/(Controlling Torque*12). Youngs Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain, Spring Width is defined as the total width of the spring when measured in the extended form, Spring Thickness refers to the dimension of a spring that measures the distance between its two opposing surfaces or faces, Angular Deflection refers to the angular displacement or deviation from an initial position or reference point & Controlling torque involves applying force to manage rotational motion, ensuring stability, adjusting speed, and counteracting external influences such as friction or load changes.

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 Former Length = (Youngs Modulus*Spring Width*Spring Thickness^3*Angular Deflection)/(Controlling Torque*12). To calculate Length of Spring, you need Youngs Modulus (E), Spring Width (B_s), Spring Thickness (t), Angular Deflection (θ) & Controlling Torque (T_c). With our tool, you need to enter the respective value for Youngs Modulus, Spring Width, Spring Thickness, Angular Deflection & 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 Former Length?

In this formula, Former Length uses Youngs Modulus, Spring Width, Spring Thickness, Angular Deflection & Controlling Torque. We can use 1 other way(s) to calculate the same, which is/are as follows -

Former Length = (Induced EMF)/(Magnetic Field*Former Breadth*Former Angular Speed)

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