Torsional Stiffness of Shaft given Angular Velocity Calculator

✖Angular Velocity is the measure of how quickly an object rotates or revolves around a central axis in a torsional vibration system.ⓘ Angular Velocity [ω]			+10% -10%
✖Mass Moment of Inertia of Disc is the rotational inertia of a disc that resists changes in its rotational motion, used in torsional vibration analysis.ⓘ Mass Moment of Inertia of Disc [I_d]			+10% -10%

✖Resistance Torsional Stiffness is the resistance of an object to twisting or rotational deformation, measured by the amount of torque required to produce a unit of angular deformation.ⓘ Torsional Stiffness of Shaft given Angular Velocity [q_r]

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Torsional Stiffness of Shaft given Angular Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resistance Torsional Stiffness = Angular Velocity^2*Mass Moment of Inertia of Disc
q_r = ω^2*I_d
This formula uses 3 Variables

Variables Used

Resistance Torsional Stiffness - (Measured in Newton per Meter) - Resistance Torsional Stiffness is the resistance of an object to twisting or rotational deformation, measured by the amount of torque required to produce a unit of angular deformation.
Angular Velocity - (Measured in Radian per Second) - Angular Velocity is the measure of how quickly an object rotates or revolves around a central axis in a torsional vibration system.
Mass Moment of Inertia of Disc - (Measured in Kilogram Square Meter) - Mass Moment of Inertia of Disc is the rotational inertia of a disc that resists changes in its rotational motion, used in torsional vibration analysis.

STEP 1: Convert Input(s) to Base Unit

Angular Velocity: 11.2 Radian per Second --> 11.2 Radian per Second No Conversion Required
Mass Moment of Inertia of Disc: 6.2 Kilogram Square Meter --> 6.2 Kilogram Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q_r = ω^2*I_d --> 11.2^2*6.2

Evaluating ... ...

q_r = 777.728

STEP 3: Convert Result to Output's Unit

777.728 Newton per Meter --> No Conversion Required

FINAL ANSWER

777.728 Newton per Meter <-- Resistance Torsional Stiffness

(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 » Torsional Stiffness of Shaft given Angular Velocity

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National Institute Of Technology (NIT), Hamirpur

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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)

Torsional Stiffness of Shaft given Angular Velocity Formula

LaTeX Go

Resistance Torsional Stiffness = Angular Velocity^2*Mass Moment of Inertia of Disc
q_r = ω^2*I_d

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 Torsional Stiffness of Shaft given Angular Velocity?

Torsional Stiffness of Shaft given Angular Velocity calculator uses Resistance Torsional Stiffness = Angular Velocity^2*Mass Moment of Inertia of Disc to calculate the Resistance Torsional Stiffness, Torsional Stiffness of Shaft given Angular Velocity formula is defined as a measure of the shaft's resistance to twisting or torsion, which is crucial in determining the shaft's ability to withstand torsional vibrations and maintain its structural integrity under various angular velocity conditions. Resistance Torsional Stiffness is denoted by q_r symbol.

How to calculate Torsional Stiffness of Shaft given Angular Velocity using this online calculator? To use this online calculator for Torsional Stiffness of Shaft given Angular Velocity, enter Angular Velocity (ω) & Mass Moment of Inertia of Disc (I_d) and hit the calculate button. Here is how the Torsional Stiffness of Shaft given Angular Velocity calculation can be explained with given input values -> 777.728 = 11.2^2*6.2.

FAQ

What is Torsional Stiffness of Shaft given Angular Velocity?

Torsional Stiffness of Shaft given Angular Velocity formula is defined as a measure of the shaft's resistance to twisting or torsion, which is crucial in determining the shaft's ability to withstand torsional vibrations and maintain its structural integrity under various angular velocity conditions and is represented as q_r = ω^2*I_d or Resistance Torsional Stiffness = Angular Velocity^2*Mass Moment of Inertia of Disc. Angular Velocity is the measure of how quickly an object rotates or revolves around a central axis in a torsional vibration system & Mass Moment of Inertia of Disc is the rotational inertia of a disc that resists changes in its rotational motion, used in torsional vibration analysis.

How to calculate Torsional Stiffness of Shaft given Angular Velocity?

Torsional Stiffness of Shaft given Angular Velocity formula is defined as a measure of the shaft's resistance to twisting or torsion, which is crucial in determining the shaft's ability to withstand torsional vibrations and maintain its structural integrity under various angular velocity conditions is calculated using Resistance Torsional Stiffness = Angular Velocity^2*Mass Moment of Inertia of Disc. To calculate Torsional Stiffness of Shaft given Angular Velocity, you need Angular Velocity (ω) & Mass Moment of Inertia of Disc (I_d). With our tool, you need to enter the respective value for Angular Velocity & Mass Moment of Inertia of Disc 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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