Angular Displacement of Shaft from Mean Position Calculator

✖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 [F_r]			+10% -10%
✖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 from Mean Position [θ]

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Angular Displacement of Shaft from Mean Position Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Restoring Force: 65 Newton --> 65 Newton No Conversion Required
Torsional Stiffness: 5.4 Newton per Meter --> 5.4 Newton per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = F_r/q --> 65/5.4

Evaluating ... ...

θ = 12.037037037037

STEP 3: Convert Result to Output's Unit

12.037037037037 Radian --> No Conversion Required

FINAL ANSWER

12.037037037037 ≈ 12.03704 Radian <-- Angular Displacement of Shaft

(Calculation completed in 00.020 seconds)

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Home » Physics » Theory of Machine » Vibrations » Torsional Vibrations » Mechanical » Natural Frequency of Free Torsional Vibrations » Angular Displacement of Shaft from Mean Position

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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)

Angular Displacement of Shaft from Mean Position Formula

LaTeX Go

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

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 Angular Displacement of Shaft from Mean Position?

Angular Displacement of Shaft from Mean Position calculator uses Angular Displacement of Shaft = Restoring Force/Torsional Stiffness to calculate the Angular Displacement of Shaft, Angular Displacement of Shaft from Mean Position formula is defined as a measure of the rotation of a shaft from its mean position, which is a critical parameter in torsional vibrations, helping to analyze the oscillations of a shaft around its equilibrium position. Angular Displacement of Shaft is denoted by θ symbol.

How to calculate Angular Displacement of Shaft from Mean Position using this online calculator? To use this online calculator for Angular Displacement of Shaft from Mean Position, enter Restoring Force (F_r) & Torsional Stiffness (q) and hit the calculate button. Here is how the Angular Displacement of Shaft from Mean Position calculation can be explained with given input values -> 12.03704 = 65/5.4.

FAQ

What is Angular Displacement of Shaft from Mean Position?

Angular Displacement of Shaft from Mean Position formula is defined as a measure of the rotation of a shaft from its mean position, which is a critical parameter in torsional vibrations, helping to analyze the oscillations of a shaft around its equilibrium position and is represented as θ = F_r/q or Angular Displacement of Shaft = Restoring Force/Torsional Stiffness. 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 is the ability of an object to resist twisting when acted upon by an external force, torque.

How to calculate Angular Displacement of Shaft from Mean Position?

Angular Displacement of Shaft from Mean Position formula is defined as a measure of the rotation of a shaft from its mean position, which is a critical parameter in torsional vibrations, helping to analyze the oscillations of a shaft around its equilibrium position is calculated using Angular Displacement of Shaft = Restoring Force/Torsional Stiffness. To calculate Angular Displacement of Shaft from Mean Position, you need Restoring Force (F_r) & Torsional Stiffness (q). With our tool, you need to enter the respective value for Restoring Force & Torsional Stiffness 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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