Torsional Stiffness of Shaft given Angular Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Torsional Stiffness of Shaft = Angular Velocity^2*Mass Moment of Inertia of Disc
qshaft = ω^2*Idisc
This formula uses 3 Variables
Variables Used
Torsional Stiffness of Shaft - (Measured in Newton per Meter) - Torsional Stiffness of Shaft is the measurement of how much a given diameter of shaft bends under load.
Angular Velocity - (Measured in Radian per Second) - The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.
Mass Moment of Inertia of Disc - (Measured in Kilogram Square Meter) - Mass moment of inertia of disc is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis.
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
qshaft = ω^2*Idisc --> 11.2^2*6.2
Evaluating ... ...
qshaft = 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 <-- Torsional Stiffness of Shaft
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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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

Torsional Stiffness of Shaft given Angular Velocity Formula

Torsional Stiffness of Shaft = Angular Velocity^2*Mass Moment of Inertia of Disc
qshaft = ω^2*Idisc

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 Torsional Stiffness of Shaft = Angular Velocity^2*Mass Moment of Inertia of Disc to calculate the Torsional Stiffness of Shaft, The Torsional Stiffness of Shaft given Angular Velocity formula is defined as the torque required for unit twist. Torsional Stiffness of Shaft is denoted by qshaft 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 (Idisc) 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?
The Torsional Stiffness of Shaft given Angular Velocity formula is defined as the torque required for unit twist and is represented as qshaft = ω^2*Idisc or Torsional Stiffness of Shaft = Angular Velocity^2*Mass Moment of Inertia of Disc. The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time & Mass moment of inertia of disc is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis.
How to calculate Torsional Stiffness of Shaft given Angular Velocity?
The Torsional Stiffness of Shaft given Angular Velocity formula is defined as the torque required for unit twist is calculated using Torsional Stiffness of Shaft = 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 (Idisc). 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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