Angular Deflection of Spring Calculator

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✖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%
✖Spring Constant refers to a physical constant that describes the stiffness or rigidity of a spring.ⓘ Spring Constant [Κ]			+10% -10%

✖Spring Angular Deflection is defined as how a spring responds when force is applied or released.ⓘ Angular Deflection of Spring [θ_s]

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Formula

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Angular Deflection of Spring

Formula

θ s = \frac{T c}{Κ}

Example

0.666667 rad = \frac{34 N*m}{51 Nm/rad}

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Angular Deflection of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Spring Angular Deflection = Controlling Torque/Spring Constant
θ_s = T_c/Κ
This formula uses 3 Variables

Variables Used

Spring Angular Deflection - (Measured in Radian) - Spring Angular Deflection is defined as how a spring responds when force is applied or released.
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.
Spring Constant - (Measured in Newton Meter per Radian) - Spring Constant refers to a physical constant that describes the stiffness or rigidity of a spring.

STEP 1: Convert Input(s) to Base Unit

Controlling Torque: 34 Newton Meter --> 34 Newton Meter No Conversion Required
Spring Constant: 51 Newton Meter per Radian --> 51 Newton Meter per Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_s = T_c/Κ --> 34/51

Evaluating ... ...

θ_s = 0.666666666666667

STEP 3: Convert Result to Output's Unit

0.666666666666667 Radian --> No Conversion Required

FINAL ANSWER

0.666666666666667 ≈ 0.666667 Radian <-- Spring Angular Deflection

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Instrument Characteristics Calculators

Magnitude of Output Response

Go Output Response Magnitude = Sensitivity*Input Response Magnitude

Magnitude of Input

Go Input Response Magnitude = Output Response Magnitude/Sensitivity

Sensitivity

Go Sensitivity = Output Response Magnitude/Input Response Magnitude

Inverse Sensitivity or Scale Factor

Go Inverse Sensitivity = 1/Sensitivity

Angular Deflection of Spring Formula

Spring Angular Deflection = Controlling Torque/Spring Constant
θ_s = T_c/Κ

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 Angular Deflection of Spring?

Angular Deflection of Spring calculator uses Spring Angular Deflection = Controlling Torque/Spring Constant to calculate 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 calculate Angular Deflection of Spring using this online calculator? To use this online calculator for Angular Deflection of Spring, enter Controlling Torque (T_c) & Spring Constant (Κ) and hit the calculate button. Here is how the Angular Deflection of Spring calculation can be explained with given input values -> 0.666667 = 34/51.

FAQ

What is Angular Deflection of Spring?

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 and is represented as θ_s = T_c/Κ or Spring Angular Deflection = Controlling Torque/Spring Constant. Controlling torque involves applying force to manage rotational motion, ensuring stability, adjusting speed, and counteracting external influences such as friction or load changes & Spring Constant refers to a physical constant that describes the stiffness or rigidity of a spring.

How to calculate Angular Deflection of Spring?

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 is calculated using Spring Angular Deflection = Controlling Torque/Spring Constant. To calculate Angular Deflection of Spring, you need Controlling Torque (T_c) & Spring Constant (Κ). With our tool, you need to enter the respective value for Controlling Torque & Spring Constant and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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