Torsional Spring Constant given Torque and Angle of Twist Calculator

↳

⤿

Free Vibration of Single DOF Undamped Torsional System

✖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.ⓘ Torque [τ]			+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%

✖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 given Torque and Angle of Twist [K_t]

⎘ Copy

👎

Formula

✖

Torsional Spring Constant given Torque and Angle of Twist

Formula

`"K"_{"t"} = "τ"/"θ"`

Example

`"4Nm/rad"="5.68N*m"/"1.42rad"`

Calculator

LaTeX

Reset

👍

Download Mechanical vibrations Formula PDF

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, 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.
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.
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

Torque: 5.68 Newton Meter --> 5.68 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 --> 5.68/1.42

Evaluating ... ...

K_t = 4

STEP 3: Convert Result to Output's Unit

4 Newton Meter per Radian --> No Conversion Required

FINAL ANSWER

4 Newton Meter per Radian <-- Torsional spring constant

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Mechanical vibrations » Free Vibration of Single DOF Undamped Torsional System » Torsional Spring Constant given Torque and Angle of Twist

Credits

Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!

Verified by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has verified this Calculator and 200+ more calculators!

< 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

Torsional Spring Constant given Torque and Angle of Twist Formula

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, The Torsional spring constant given torque and angle of twist formula is defined as the ratio of torque and angle of twist. 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 = 5.68/1.42.

FAQ

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

The Torsional spring constant given torque and angle of twist formula is defined as the ratio of torque and angle of twist and is represented as K_t = τ/θ or Torsional spring constant = Torque/Angle of Twist. 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 & Angle of twist is the angle through which the fixed end of a shaft rotates with respect to the free end.

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

The Torsional spring constant given torque and angle of twist formula is defined as the ratio of torque and angle of twist 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.

Home

FREE PDFs

🔍 Search