Restoring Torque using Torsional Spring constant and Angle of Twist Calculator

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Free Vibration of Single DOF Undamped Torsional System

✖Torsional spring constant, If the disc is displaced by some angle from its equilibrium position, the shaft provides a restoring torque of some magnitude. Thus the shaft acts as a torsional spring.ⓘ Torsional spring constant [K_t]			+10% -10%
✖Angle of twist is the angle through which the fixed end of a shaft rotates with respect to the free end.ⓘ Angle of Twist [θ]			+10% -10%

✖Torque is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.ⓘ Restoring Torque using Torsional Spring constant and Angle of Twist [τ]

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Formula

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Restoring Torque using Torsional Spring constant and Angle of Twist

Formula

`"τ" = "K"_{"t"}*"θ"`

Example

`"5.9924N*m"="4.22Nm/rad"*"1.42rad"`

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Restoring Torque using Torsional Spring constant and Angle of Twist Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Torque - (Measured in Newton Meter) - Torque is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.
Torsional spring constant - (Measured in Newton Meter per Radian) - Torsional spring constant, If the disc is displaced by some angle from its equilibrium position, the shaft provides a restoring torque of some magnitude. Thus the shaft acts as a torsional spring.
Angle of Twist - (Measured in Radian) - Angle of twist is the angle through which the fixed end of a shaft rotates with respect to the free end.

STEP 1: Convert Input(s) to Base Unit

Torsional spring constant: 4.22 Newton Meter per Radian --> 4.22 Newton Meter per Radian No Conversion Required
Angle of Twist: 1.42 Radian --> 1.42 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = K_t*θ --> 4.22*1.42

Evaluating ... ...

τ = 5.9924

STEP 3: Convert Result to Output's Unit

5.9924 Newton Meter --> No Conversion Required

FINAL ANSWER

5.9924 Newton Meter <-- Torque

(Calculation completed in 00.004 seconds)

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Institute of Aeronautical Engineering (IARE), Hyderabad

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National Institute of Technology (NIT), Tiruchirapalli

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< 3 Free Vibration of Single DOF Undamped Torsional System Calculators

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

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

Restoring Torque using Torsional Spring constant and Angle of Twist

Go Torque = Torsional spring constant*Angle of Twist

Torsional Spring Constant given Torque and Angle of Twist

Go Torsional spring constant = Torque/Angle of Twist

Restoring Torque using Torsional Spring constant and Angle of Twist Formula

Torque = Torsional spring constant*Angle of Twist
τ = K_t*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 Restoring Torque using Torsional Spring constant and Angle of Twist?

Restoring Torque using Torsional Spring constant and Angle of Twist calculator uses Torque = Torsional spring constant*Angle of Twist to calculate the Torque, The Restoring torque using Torsional spring constant and angle of twist formula is defined as the product of torsional spring constant and angle of twist. Torque is denoted by τ symbol.

How to calculate Restoring Torque using Torsional Spring constant and Angle of Twist using this online calculator? To use this online calculator for Restoring Torque using Torsional Spring constant and Angle of Twist, enter Torsional spring constant (K_t) & Angle of Twist (θ) and hit the calculate button. Here is how the Restoring Torque using Torsional Spring constant and Angle of Twist calculation can be explained with given input values -> 5.68 = 4.22*1.42.

FAQ

What is Restoring Torque using Torsional Spring constant and Angle of Twist?

The Restoring torque using Torsional spring constant and angle of twist formula is defined as the product of torsional spring constant and angle of twist and is represented as τ = K_t*θ or Torque = Torsional spring constant*Angle of Twist. Torsional spring constant, If the disc is displaced by some angle from its equilibrium position, the shaft provides a restoring torque of some magnitude. Thus the shaft acts as a torsional spring & Angle of twist is the angle through which the fixed end of a shaft rotates with respect to the free end.

How to calculate Restoring Torque using Torsional Spring constant and Angle of Twist?

The Restoring torque using Torsional spring constant and angle of twist formula is defined as the product of torsional spring constant and angle of twist is calculated using Torque = Torsional spring constant*Angle of Twist. To calculate Restoring Torque using Torsional Spring constant and Angle of Twist, you need Torsional spring constant (K_t) & Angle of Twist (θ). With our tool, you need to enter the respective value for Torsional spring constant & 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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