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Length of Spring Formula

GoLength of Former Formula

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Former Length refers to the measurement of the longitudinal extent or distance of a component known as a former. Check FAQs

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

L_f - Former Length?E - Youngs Modulus?B_s - Spring Width?t - Spring Thickness?θ - Angular Deflection?T_c - Controlling Torque?

Length of Spring Example

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Here is how the Length of Spring equation looks like with Values.

Here is how the Length of Spring equation looks like with Units.

Here is how the Length of Spring equation looks like.

0.2507 = \frac{1000 \cdot 0.86 \cdot {0.95}^{3} \cdot 1.02}{250 \cdot 12}

0.2507m = \frac{1000Pa \cdot 0.86m \cdot {0.95m}^{3} \cdot 1.02rad}{250N*m \cdot 12}

0.2507 = \frac{1000 \cdot 0.86 \cdot {0.95}^{3} \cdot 1.02}{250 \cdot 12}

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Length of Spring Solution

Follow our step by step solution on how to calculate Length of Spring?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

L f = \frac{1000 \cdot 0.86 \cdot {0.95}^{3} \cdot 1.02}{250 \cdot 12}

Next Step Evaluate

∴

L f = 0.25069645m

LAST Step Rounding Answer

∴

L f = 0.2507m

Length of Spring Formula Elements

Variables

Former Length

Former Length refers to the measurement of the longitudinal extent or distance of a component known as a former.

Symbol: L_f

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Former Length

Youngs Modulus

Youngs Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Youngs Modulus

Spring Width

Spring Width is defined as the total width of the spring when measured in the extended form.

Symbol: B_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Spring Width

Spring Thickness

Spring Thickness refers to the dimension of a spring that measures the distance between its two opposing surfaces or faces.

Symbol: t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Spring Thickness

Angular Deflection

Angular Deflection refers to the angular displacement or deviation from an initial position or reference point.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Angular Deflection

Controlling Torque

Controlling torque involves applying force to manage rotational motion, ensuring stability, adjusting speed, and counteracting external influences such as friction or load changes.

Symbol: T_c

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Controlling Torque

Other Formulas to find Former Length

Go Length of Former

L f = \frac{emf in}{B \cdot b \cdot ω}

Other formulas in Instrument Dimensions category

Go Length of Capillary Tube

L c = \frac{ΔL}{γ \cdot ΔT}

Go Coefficient of volumetric Expansion

γ = \frac{ΔL}{L c \cdot ΔT}

Go Volume of Bulb in Capillary Tube

V b = A c \cdot L c

Go Area of Capillary Tube

A c = \frac{V b}{L c}

How to Evaluate Length of Spring?

Length of Spring evaluator uses Former Length = (Youngs Modulus*Spring Width*Spring Thickness^3*Angular Deflection)/(Controlling Torque*12) to evaluate 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 evaluate Length of Spring using this online evaluator? To use this online evaluator 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.

FAQs on Length of Spring

What is the formula to find Length of Spring?

The formula of Length of Spring is expressed as Former Length = (Youngs Modulus*Spring Width*Spring Thickness^3*Angular Deflection)/(Controlling Torque*12). Here is an example- 1.843356 = (1000*0.86*0.95^3*1.02)/(250*12).

How to calculate Length of Spring?

With Youngs Modulus (E), Spring Width (B_s), Spring Thickness (t), Angular Deflection (θ) & Controlling Torque (T_c) we can find Length of Spring using the formula - Former Length = (Youngs Modulus*Spring Width*Spring Thickness^3*Angular Deflection)/(Controlling Torque*12).

What are the other ways to Calculate Former Length?

Here are the different ways to Calculate Former Length-

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

Can the Length of Spring be negative?

No, the Length of Spring, measured in Length cannot be negative.

Which unit is used to measure Length of Spring?

Length of Spring is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Spring can be measured.

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Length of Spring Formula

​GoLength of Former Formula

Length of Spring Example

Length of Spring Solution

Length of Spring Formula Elements

Other Formulas to find Former Length

Other formulas in Instrument Dimensions category

How to Evaluate Length of Spring?

FAQs on Length of Spring

Variable Name

GoLength of Former Formula