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Angular Deflection of Spring Formula

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Spring Angular Deflection is defined as how a spring responds when force is applied or released. Check FAQs

θ s = \frac{T c}{Κ}

θ_s - Spring Angular Deflection?T_c - Controlling Torque?Κ - Spring Constant?

Angular Deflection of Spring Example

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

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

Here is how the Angular Deflection of Spring equation looks like.

0.6667 = \frac{34}{51}

0.6667rad = \frac{34N*m}{51Nm/rad}

0.6667 = \frac{34}{51}

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Angular Deflection of Spring Solution

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

FIRST Step Consider the formula

θ s = \frac{T c}{Κ}

Next Step Substitute values of Variables

∴

θ s = \frac{34N*m}{51Nm/rad}

Next Step Prepare to Evaluate

∴

θ s = \frac{34}{51}

Next Step Evaluate

∴

θ s = 0.666666666666667rad

LAST Step Rounding Answer

∴

θ s = 0.6667rad

Angular Deflection of Spring Formula Elements

Variables

Spring Angular Deflection

Spring Angular Deflection is defined as how a spring responds when force is applied or released.

Symbol: θ_s

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Spring 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

Spring Constant

Spring Constant refers to a physical constant that describes the stiffness or rigidity of a spring.

Symbol: Κ

Measurement: Torsion ConstantUnit: Nm/rad

Note: Value should be greater than 0.

Formulas to find Spring Constant

Other formulas in Instrument Characteristics category

Go Sensitivity

S = \frac{Q out}{Q in}

Go Magnitude of Output Response

Q out = S \cdot Q in

Go Magnitude of Input

Q in = \frac{Q out}{S}

Go Inverse Sensitivity or Scale Factor

SF = \frac{1}{S}

How to Evaluate Angular Deflection of Spring?

Angular Deflection of Spring evaluator uses Spring Angular Deflection = Controlling Torque/Spring Constant to evaluate the Spring Angular Deflection, The Angular Deflection of Spring formula is defined as the change in angular position or rotation of a spring when subjected to a twisting force or torque. It is a measure of how much the spring twists or rotates from its original position due to an applied moment. Spring Angular Deflection is denoted by θ_s symbol.

How to evaluate Angular Deflection of Spring using this online evaluator? To use this online evaluator for Angular Deflection of Spring, enter Controlling Torque (T_c) & Spring Constant (Κ) and hit the calculate button.

FAQs on Angular Deflection of Spring

What is the formula to find Angular Deflection of Spring?

The formula of Angular Deflection of Spring is expressed as Spring Angular Deflection = Controlling Torque/Spring Constant. Here is an example- 0.666667 = 34/51.

How to calculate Angular Deflection of Spring?

With Controlling Torque (T_c) & Spring Constant (Κ) we can find Angular Deflection of Spring using the formula - Spring Angular Deflection = Controlling Torque/Spring Constant.

Can the Angular Deflection of Spring be negative?

Yes, the Angular Deflection of Spring, measured in Angle can be negative.

Which unit is used to measure Angular Deflection of Spring?

Angular Deflection of Spring is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Angular Deflection of Spring can be measured.

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