Restoring Force for Free Torsional Vibrations Solution

STEP 0: Pre-Calculation Summary
Formula Used
Restoring Force = Torsional Stiffness*Angular Displacement of Shaft
Frestoring = q*θ
This formula uses 3 Variables
Variables Used
Restoring Force - (Measured in Newton) - Restoring Force is a force which acts to bring a body to its equilibrium position.
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 movement around an axis, such as the angular motion of the shaft of a motor.
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
Frestoring = q*θ --> 5.4*12
Evaluating ... ...
Frestoring = 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)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Verified by Dipto Mandal
Indian Institute of Information Technology (IIIT), Guwahati
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13 Natural Frequency of Free Torsional Vibrations Calculators

Natural Frequency of Vibration
Go Frequency = (sqrt(Torsional Stiffness/Mass Moment of Inertia of Disc))/(2*pi)
Time Period for Vibrations
Go Time Period = 2*pi*sqrt(Mass Moment of Inertia of Disc/Torsional Stiffness)
Angular Velocity of Shaft
Go Angular Velocity = sqrt(Torsional Stiffness of Shaft/Mass Moment of Inertia of Disc)
Torsional Stiffness of Shaft given Time Period of Vibration
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
Go Mass Moment of Inertia of Disc = (Time Period^2*Torsional Stiffness)/((2*pi)^2)
Moment of Inertia of Disc using Natural Frequency of Vibration
Go Mass Moment of Inertia of Disc = Torsional Stiffness/((2*pi*Frequency)^2)
Torsional Stiffness of Shaft given Natural Frequency of Vibration
Go Torsional Stiffness = (2*pi*Frequency)^2*Mass Moment of Inertia of Disc
Moment of Inertia of Disc given Angular Velocity
Go Mass Moment of Inertia of Disc = Torsional Stiffness of Shaft/(Angular Velocity^2)
Torsional Stiffness of Shaft given Angular Velocity
Go Torsional Stiffness of Shaft = Angular Velocity^2*Mass Moment of Inertia of Disc
Angular Displacement of Shaft from Mean Position
Go Angular Displacement of Shaft = Restoring Force/Torsional Stiffness
Restoring Force for Free Torsional Vibrations
Go Restoring Force = Torsional Stiffness*Angular Displacement of Shaft
Torsional Stiffness of Shaft
Go Torsional Stiffness = Restoring Force/Angular Displacement of Shaft
Accelerating Force
Go Force = Mass Moment of Inertia of Disc*Angular Acceleration

Restoring Force for Free Torsional Vibrations Formula

Restoring Force = Torsional Stiffness*Angular Displacement of Shaft
Frestoring = 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, The Restoring force for free torsional vibrations formula is defined as a force which acts to bring a body to its equilibrium position. Restoring Force is denoted by Frestoring 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?
The Restoring force for free torsional vibrations formula is defined as a force which acts to bring a body to its equilibrium position and is represented as Frestoring = 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 movement around an axis, such as the angular motion of the shaft of a motor.
How to calculate Restoring Force for Free Torsional Vibrations?
The Restoring force for free torsional vibrations formula is defined as a force which acts to bring a body to its equilibrium position 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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