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Torsional Spring Constant given Torque and Angle of Twist Calculator

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Free Vibration of Single DOF Undamped Torsional System Elements of Vibration Forced Vibration Undamped Free Vibration

✖Torque is a rotational force that causes an object to rotate, measured by the force applied at a distance from the axis of rotation.ⓘ Torque [τ]			+10% -10%
✖Angle of Twist is the rotation of a shaft or beam from its original position due to an external torque or twisting moment in mechanical vibrations.ⓘ Angle of Twist [θ]			+10% -10%

✖Torsional spring constant is a measure of the stiffness of a torsional spring, which determines its resistance to twisting or rotational motion.ⓘ Torsional Spring Constant given Torque and Angle of Twist [K_t]

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Torsional Spring Constant given Torque and Angle of Twist Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torsional spring constant = Torque/Angle of Twist
K_t = τ/θ
This formula uses 3 Variables

Variables Used

Torsional spring constant - (Measured in Newton Meter per Radian) - Torsional spring constant is a measure of the stiffness of a torsional spring, which determines its resistance to twisting or rotational motion.
Torque - (Measured in Newton Meter) - Torque is a rotational force that causes an object to rotate, measured by the force applied at a distance from the axis of rotation.
Angle of Twist - (Measured in Radian) - Angle of Twist is the rotation of a shaft or beam from its original position due to an external torque or twisting moment in mechanical vibrations.

STEP 1: Convert Input(s) to Base Unit

Torque: 5.9924 Newton Meter --> 5.9924 Newton Meter No Conversion Required
Angle of Twist: 1.42 Radian --> 1.42 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_t = τ/θ --> 5.9924/1.42

Evaluating ... ...

K_t = 4.22

STEP 3: Convert Result to Output's Unit

4.22 Newton Meter per Radian --> No Conversion Required

FINAL ANSWER

4.22 Newton Meter per Radian <-- Torsional spring constant

(Calculation completed in 00.004 seconds)

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< Free Vibration of Single DOF Undamped Torsional System Calculators

Amount of Amplitude of Motion Reduced in Each Successive Cycle in Coulomb Damping

LaTeX Go Amplitude = (4*Coefficient of Friction*Normal Force)/Spring Stiffness 1

Restoring Torque using Torsional Spring constant and Angle of Twist

LaTeX Go Torque = Torsional spring constant*Angle of Twist

Torsional Spring Constant given Torque and Angle of Twist

LaTeX Go Torsional spring constant = Torque/Angle of Twist

Torsional Spring Constant given Torque and Angle of Twist Formula

LaTeX Go

Torsional spring constant = Torque/Angle of Twist
K_t = τ/θ

What is Vibration?

Vibration is a mechanical phenomenon whereby oscillations occur about an equilibrium point. The oscillations may be periodic, such as the motion of a pendulum or random, such as the movement of a tire on a gravel road.

How to Calculate Torsional Spring Constant given Torque and Angle of Twist?

Torsional Spring Constant given Torque and Angle of Twist calculator uses Torsional spring constant = Torque/Angle of Twist to calculate the Torsional spring constant, Torsional Spring Constant given Torque and Angle of Twist formula is defined as a measure of the stiffness of a torsional spring, which is a critical component in mechanical systems, and is used to describe the relationship between the torque and angle of twist in a mechanical system. Torsional spring constant is denoted by K_t symbol.

How to calculate Torsional Spring Constant given Torque and Angle of Twist using this online calculator? To use this online calculator for Torsional Spring Constant given Torque and Angle of Twist, enter Torque (τ) & Angle of Twist (θ) and hit the calculate button. Here is how the Torsional Spring Constant given Torque and Angle of Twist calculation can be explained with given input values -> 4 = 5.9924/1.42.

FAQ

What is Torsional Spring Constant given Torque and Angle of Twist?

Torsional Spring Constant given Torque and Angle of Twist formula is defined as a measure of the stiffness of a torsional spring, which is a critical component in mechanical systems, and is used to describe the relationship between the torque and angle of twist in a mechanical system and is represented as K_t = τ/θ or Torsional spring constant = Torque/Angle of Twist. Torque is a rotational force that causes an object to rotate, measured by the force applied at a distance from the axis of rotation & Angle of Twist is the rotation of a shaft or beam from its original position due to an external torque or twisting moment in mechanical vibrations.

How to calculate Torsional Spring Constant given Torque and Angle of Twist?

Torsional Spring Constant given Torque and Angle of Twist formula is defined as a measure of the stiffness of a torsional spring, which is a critical component in mechanical systems, and is used to describe the relationship between the torque and angle of twist in a mechanical system is calculated using Torsional spring constant = Torque/Angle of Twist. To calculate Torsional Spring Constant given Torque and Angle of Twist, you need Torque (τ) & Angle of Twist (θ). With our tool, you need to enter the respective value for Torque & Angle of Twist 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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