Restoring Force for Free Torsional Vibrations Calculator

✖torsional stiffness is the ability of an object to resist twisting when acted upon by an external force, torque.ⓘ Torsional Stiffness [q]			+10% -10%
✖Angular Displacement of Shaft is the rotation of the shaft around its axis, measured in radians, which affects the vibration of the system.ⓘ Angular Displacement of Shaft [θ]			+10% -10%

✖Restoring Force is the force that tends to restore an object to its original position after it has been displaced from its equilibrium state.ⓘ Restoring Force for Free Torsional Vibrations [F_r]

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Restoring Force for Free Torsional Vibrations Solution

STEP 0: Pre-Calculation Summary

Formula Used

Restoring Force = Torsional Stiffness*Angular Displacement of Shaft
F_r = q*θ
This formula uses 3 Variables

Variables Used

Restoring Force - (Measured in Newton) - Restoring Force is the force that tends to restore an object to its original position after it has been displaced from its equilibrium state.
Torsional Stiffness - (Measured in Newton per Meter) - torsional stiffness is the ability of an object to resist twisting when acted upon by an external force, torque.
Angular Displacement of Shaft - (Measured in Radian) - Angular Displacement of Shaft is the rotation of the shaft around its axis, measured in radians, which affects the vibration of the system.

STEP 1: Convert Input(s) to Base Unit

Torsional Stiffness: 5.4 Newton per Meter --> 5.4 Newton per Meter No Conversion Required
Angular Displacement of Shaft: 12 Radian --> 12 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_r = q*θ --> 5.4*12

Evaluating ... ...

F_r = 64.8

STEP 3: Convert Result to Output's Unit

64.8 Newton --> No Conversion Required

FINAL ANSWER

64.8 Newton <-- Restoring Force

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Vibrations » Torsional Vibrations » Mechanical » Natural Frequency of Free Torsional Vibrations » Restoring Force for Free Torsional Vibrations

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Indian Institute of Information Technology (IIIT), Guwahati

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< Natural Frequency of Free Torsional Vibrations Calculators

Moment of Inertia of Disc using Natural Frequency of Vibration

LaTeX Go Mass Moment of Inertia of Disc = Torsional Stiffness/((2*pi*Natural Frequency)^2)

Torsional Stiffness of Shaft given Natural Frequency of Vibration

LaTeX Go Torsional Stiffness = (2*pi*Natural Frequency)^2*Mass Moment of Inertia of Disc

Torsional Stiffness of Shaft given Time Period of Vibration

LaTeX Go Torsional Stiffness = ((2*pi)^2*Mass Moment of Inertia of Disc)/(Time Period)^2

Moment of Inertia of Disc given Time Period of Vibration

LaTeX Go Mass Moment of Inertia of Disc = (Time Period^2*Torsional Stiffness)/((2*pi)^2)

Restoring Force for Free Torsional Vibrations Formula

LaTeX Go

Restoring Force = Torsional Stiffness*Angular Displacement of Shaft
F_r = q*θ

What causes torsional vibration?

Torsional vibrations are an example of machinery vibrations and are caused by the superposition of angular oscillations along the whole propulsion shaft system including propeller shaft, engine crankshaft, engine, gearbox, flexible coupling and along the intermediate shafts.

How to Calculate Restoring Force for Free Torsional Vibrations?

Restoring Force for Free Torsional Vibrations calculator uses Restoring Force = Torsional Stiffness*Angular Displacement of Shaft to calculate the Restoring Force, Restoring Force for Free Torsional Vibrations formula is defined as the measure of the force that tends to restore an object to its original position after it has been displaced from its equilibrium position during torsional vibrations, providing a quantitative representation of the restoring torque. Restoring Force is denoted by F_r symbol.

How to calculate Restoring Force for Free Torsional Vibrations using this online calculator? To use this online calculator for Restoring Force for Free Torsional Vibrations, enter Torsional Stiffness (q) & Angular Displacement of Shaft (θ) and hit the calculate button. Here is how the Restoring Force for Free Torsional Vibrations calculation can be explained with given input values -> 64.8 = 5.4*12.

FAQ

What is Restoring Force for Free Torsional Vibrations?

Restoring Force for Free Torsional Vibrations formula is defined as the measure of the force that tends to restore an object to its original position after it has been displaced from its equilibrium position during torsional vibrations, providing a quantitative representation of the restoring torque and is represented as F_r = q*θ or Restoring Force = Torsional Stiffness*Angular Displacement of Shaft. torsional stiffness is the ability of an object to resist twisting when acted upon by an external force, torque & Angular Displacement of Shaft is the rotation of the shaft around its axis, measured in radians, which affects the vibration of the system.

How to calculate Restoring Force for Free Torsional Vibrations?

Restoring Force for Free Torsional Vibrations formula is defined as the measure of the force that tends to restore an object to its original position after it has been displaced from its equilibrium position during torsional vibrations, providing a quantitative representation of the restoring torque is calculated using Restoring Force = Torsional Stiffness*Angular Displacement of Shaft. To calculate Restoring Force for Free Torsional Vibrations, you need Torsional Stiffness (q) & Angular Displacement of Shaft (θ). With our tool, you need to enter the respective value for Torsional Stiffness & Angular Displacement of Shaft 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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