Total Kinetic Energy of Constraint Calculator

✖Total Mass Moment of Inertia is the rotational inertia of an object determined by its mass distribution and shape in a torsional vibration system.ⓘ Total Mass Moment of Inertia [I_c]			+10% -10%
✖Angular Velocity of Free End is the rotational speed of the free end of a torsional vibration system, measuring its oscillatory motion around a fixed axis.ⓘ Angular Velocity of Free End [ω_f]			+10% -10%

✖Kinetic Energy is the energy of an object due to its motion, particularly in the context of torsional vibrations, where it is related to the twisting motion.ⓘ Total Kinetic Energy of Constraint [KE]

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Total Kinetic Energy of Constraint Solution

STEP 0: Pre-Calculation Summary

Formula Used

Kinetic Energy = (Total Mass Moment of Inertia*Angular Velocity of Free End^2)/6
KE = (I_c*ω_f^2)/6
This formula uses 3 Variables

Variables Used

Kinetic Energy - (Measured in Joule) - Kinetic Energy is the energy of an object due to its motion, particularly in the context of torsional vibrations, where it is related to the twisting motion.
Total Mass Moment of Inertia - (Measured in Kilogram Square Meter) - Total Mass Moment of Inertia is the rotational inertia of an object determined by its mass distribution and shape in a torsional vibration system.
Angular Velocity of Free End - (Measured in Radian per Second) - Angular Velocity of Free End is the rotational speed of the free end of a torsional vibration system, measuring its oscillatory motion around a fixed axis.

STEP 1: Convert Input(s) to Base Unit

Total Mass Moment of Inertia: 10.65 Kilogram Square Meter --> 10.65 Kilogram Square Meter No Conversion Required
Angular Velocity of Free End: 22.5176 Radian per Second --> 22.5176 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

KE = (I_c*ω_f^2)/6 --> (10.65*22.5176^2)/6

Evaluating ... ...

KE = 900.000099824

STEP 3: Convert Result to Output's Unit

900.000099824 Joule --> No Conversion Required

FINAL ANSWER

900.000099824 ≈ 900.0001 Joule <-- Kinetic Energy

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Vibrations » Torsional Vibrations » Mechanical » Effect of Inertia of Constraint on Torsional Vibrations » Total Kinetic Energy of Constraint

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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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< Effect of Inertia of Constraint on Torsional Vibrations Calculators

Kinetic Energy Possessed by Element

LaTeX Go Kinetic Energy = (Total Mass Moment of Inertia*(Angular Velocity of Free End*Distance Between Small Element and Fixed End)^2*Length of Small Element)/(2*Length of Constraint^3)

Angular Velocity of Element

LaTeX Go Angular Velocity = (Angular Velocity of Free End*Distance Between Small Element and Fixed End)/Length of Constraint

Mass Moment of Inertia of Element

LaTeX Go Moment of Inertia = (Length of Small Element*Total Mass Moment of Inertia)/Length of Constraint

Total Kinetic Energy of Constraint

LaTeX Go Kinetic Energy = (Total Mass Moment of Inertia*Angular Velocity of Free End^2)/6

Total Kinetic Energy of Constraint Formula

LaTeX Go

Kinetic Energy = (Total Mass Moment of Inertia*Angular Velocity of Free End^2)/6
KE = (I_c*ω_f^2)/6

What causes torsional vibration on the shaft?

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 Total Kinetic Energy of Constraint?

Total Kinetic Energy of Constraint calculator uses Kinetic Energy = (Total Mass Moment of Inertia*Angular Velocity of Free End^2)/6 to calculate the Kinetic Energy, Total Kinetic Energy of Constraint formula is defined as the energy associated with the rotational motion of a system in torsional vibrations, where the system's inertia and angular frequency are key factors in determining this energy. Kinetic Energy is denoted by KE symbol.

How to calculate Total Kinetic Energy of Constraint using this online calculator? To use this online calculator for Total Kinetic Energy of Constraint, enter Total Mass Moment of Inertia (I_c) & Angular Velocity of Free End (ω_f) and hit the calculate button. Here is how the Total Kinetic Energy of Constraint calculation can be explained with given input values -> 900.0001 = (10.65*22.5176^2)/6.

FAQ

What is Total Kinetic Energy of Constraint?

Total Kinetic Energy of Constraint formula is defined as the energy associated with the rotational motion of a system in torsional vibrations, where the system's inertia and angular frequency are key factors in determining this energy and is represented as KE = (I_c*ω_f^2)/6 or Kinetic Energy = (Total Mass Moment of Inertia*Angular Velocity of Free End^2)/6. Total Mass Moment of Inertia is the rotational inertia of an object determined by its mass distribution and shape in a torsional vibration system & Angular Velocity of Free End is the rotational speed of the free end of a torsional vibration system, measuring its oscillatory motion around a fixed axis.

How to calculate Total Kinetic Energy of Constraint?

Total Kinetic Energy of Constraint formula is defined as the energy associated with the rotational motion of a system in torsional vibrations, where the system's inertia and angular frequency are key factors in determining this energy is calculated using Kinetic Energy = (Total Mass Moment of Inertia*Angular Velocity of Free End^2)/6. To calculate Total Kinetic Energy of Constraint, you need Total Mass Moment of Inertia (I_c) & Angular Velocity of Free End (ω_f). With our tool, you need to enter the respective value for Total Mass Moment of Inertia & Angular Velocity of Free End and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Kinetic Energy?

In this formula, Kinetic Energy uses Total Mass Moment of Inertia & Angular Velocity of Free End. We can use 1 other way(s) to calculate the same, which is/are as follows -

Kinetic Energy = (Total Mass Moment of Inertia*(Angular Velocity of Free End*Distance Between Small Element and Fixed End)^2*Length of Small Element)/(2*Length of Constraint^3)

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