Kinetic Energy Possessed by Element 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%
✖Distance Between Small Element and Fixed End is the length between a small element in a shaft and its fixed end in a torsional vibration system.ⓘ Distance Between Small Element and Fixed End [x]			+10% -10%
✖Length of Small Element is the distance of a small portion of a shaft in torsional vibrations, used to calculate the angular displacement of the shaft.ⓘ Length of Small Element [δ_x]			+10% -10%
✖Length of Constraint is the distance between the point of application of the torsional load and the axis of rotation of the shaft.ⓘ Length of Constraint [l]			+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.ⓘ Kinetic Energy Possessed by Element [KE]

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Kinetic Energy Possessed by Element Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
KE = (I_c*(ω_f*x)^2*δ_x)/(2*l^3)
This formula uses 6 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.
Distance Between Small Element and Fixed End - (Measured in Meter) - Distance Between Small Element and Fixed End is the length between a small element in a shaft and its fixed end in a torsional vibration system.
Length of Small Element - (Measured in Meter) - Length of Small Element is the distance of a small portion of a shaft in torsional vibrations, used to calculate the angular displacement of the shaft.
Length of Constraint - (Measured in Meter) - Length of Constraint is the distance between the point of application of the torsional load and the axis of rotation of the shaft.

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
Distance Between Small Element and Fixed End: 3.66 Millimeter --> 0.00366 Meter (Check conversion here)
Length of Small Element: 9.82 Millimeter --> 0.00982 Meter (Check conversion here)
Length of Constraint: 7.33 Millimeter --> 0.00733 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

KE = (I_c*(ω_f*x)^2*δ_x)/(2*l^3) --> (10.65*(22.5176*0.00366)^2*0.00982)/(2*0.00733^3)

Evaluating ... ...

KE = 901.83180381676

STEP 3: Convert Result to Output's Unit

901.83180381676 Joule --> No Conversion Required

FINAL ANSWER

901.83180381676 ≈ 901.8318 Joule <-- Kinetic Energy

(Calculation completed in 00.020 seconds)

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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

Kinetic Energy Possessed by Element Formula

LaTeX Go

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 Kinetic Energy Possessed by Element?

Kinetic Energy Possessed by Element calculator uses 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) to calculate the Kinetic Energy, Kinetic Energy Possessed by Element formula is defined as the energy associated with an object's motion in a torsional vibration system, which is a critical concept in mechanical engineering and physics, particularly in the study of rotational motion and oscillations. Kinetic Energy is denoted by KE symbol.

How to calculate Kinetic Energy Possessed by Element using this online calculator? To use this online calculator for Kinetic Energy Possessed by Element, enter Total Mass Moment of Inertia (I_c), Angular Velocity of Free End (ω_f), Distance Between Small Element and Fixed End (x), Length of Small Element (δ_x) & Length of Constraint (l) and hit the calculate button. Here is how the Kinetic Energy Possessed by Element calculation can be explained with given input values -> 901.8318 = (10.65*(22.5176*0.00366)^2*0.00982)/(2*0.00733^3).

FAQ

What is Kinetic Energy Possessed by Element?

Kinetic Energy Possessed by Element formula is defined as the energy associated with an object's motion in a torsional vibration system, which is a critical concept in mechanical engineering and physics, particularly in the study of rotational motion and oscillations and is represented as KE = (I_c*(ω_f*x)^2*δ_x)/(2*l^3) or 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). 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, Distance Between Small Element and Fixed End is the length between a small element in a shaft and its fixed end in a torsional vibration system, Length of Small Element is the distance of a small portion of a shaft in torsional vibrations, used to calculate the angular displacement of the shaft & Length of Constraint is the distance between the point of application of the torsional load and the axis of rotation of the shaft.

How to calculate Kinetic Energy Possessed by Element?

Kinetic Energy Possessed by Element formula is defined as the energy associated with an object's motion in a torsional vibration system, which is a critical concept in mechanical engineering and physics, particularly in the study of rotational motion and oscillations is calculated using 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). To calculate Kinetic Energy Possessed by Element, you need Total Mass Moment of Inertia (I_c), Angular Velocity of Free End (ω_f), Distance Between Small Element and Fixed End (x), Length of Small Element (δ_x) & Length of Constraint (l). With our tool, you need to enter the respective value for Total Mass Moment of Inertia, Angular Velocity of Free End, Distance Between Small Element and Fixed End, Length of Small Element & Length of Constraint 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, Distance Between Small Element and Fixed End, Length of Small Element & Length of Constraint. 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^2)/6

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