Total Kinetic Energy of Geared System Calculator

✖Equivalent Mass of Geared System is the effective mass of a geared system, considering the moment of inertia and kinetic energy of the system.ⓘ Equivalent Mass of Geared System [MOI]			+10% -10%
✖Angular Acceleration of Shaft A is the rate of change of angular velocity of a rotating shaft, describing its rotational motion around a fixed axis.ⓘ Angular Acceleration of Shaft A [α_A]			+10% -10%

✖Kinetic Energy is the energy of motion of an object, defined as the work required to accelerate an object from rest to its current velocity.ⓘ Total Kinetic Energy of Geared System [KE]

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Total Kinetic Energy of Geared System Solution

STEP 0: Pre-Calculation Summary

Formula Used

Kinetic Energy = (Equivalent Mass of Geared System*Angular Acceleration of Shaft A^2)/2
KE = (MOI*α_A^2)/2
This formula uses 3 Variables

Variables Used

Kinetic Energy - (Measured in Joule) - Kinetic Energy is the energy of motion of an object, defined as the work required to accelerate an object from rest to its current velocity.
Equivalent Mass of Geared System - (Measured in Kilogram Square Meter) - Equivalent Mass of Geared System is the effective mass of a geared system, considering the moment of inertia and kinetic energy of the system.
Angular Acceleration of Shaft A - Angular Acceleration of Shaft A is the rate of change of angular velocity of a rotating shaft, describing its rotational motion around a fixed axis.

STEP 1: Convert Input(s) to Base Unit

Equivalent Mass of Geared System: 413.122 Kilogram Square Meter --> 413.122 Kilogram Square Meter No Conversion Required
Angular Acceleration of Shaft A: 25 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

KE = (MOI*α_A^2)/2 --> (413.122*25^2)/2

Evaluating ... ...

KE = 129100.625

STEP 3: Convert Result to Output's Unit

129100.625 Joule --> No Conversion Required

FINAL ANSWER

129100.625 ≈ 129100.6 Joule <-- Kinetic Energy

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Kinetics Calculators

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LaTeX Go Centripetal Force = Mass*Angular Velocity^2*Radius of Curvature

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LaTeX Go Angular Acceleration of Shaft B = Gear Ratio*Angular Acceleration of Shaft A

Angular Velocity given Speed in RPM

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Total Kinetic Energy of Geared System Formula

LaTeX Go

Kinetic Energy = (Equivalent Mass of Geared System*Angular Acceleration of Shaft A^2)/2
KE = (MOI*α_A^2)/2

What is Kinetic Energy?

In physics, the kinetic energy (KE) of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.

How to Calculate Total Kinetic Energy of Geared System?

Total Kinetic Energy of Geared System calculator uses Kinetic Energy = (Equivalent Mass of Geared System*Angular Acceleration of Shaft A^2)/2 to calculate the Kinetic Energy, Total Kinetic Energy of Geared System formula is defined as a measure of the sum of kinetic energies of all rotating parts in a geared system, considering the moment of inertia and angular acceleration of each component, providing a comprehensive understanding of the system's dynamic behavior. Kinetic Energy is denoted by KE symbol.

How to calculate Total Kinetic Energy of Geared System using this online calculator? To use this online calculator for Total Kinetic Energy of Geared System, enter Equivalent Mass of Geared System (MOI) & Angular Acceleration of Shaft A (α_A) and hit the calculate button. Here is how the Total Kinetic Energy of Geared System calculation can be explained with given input values -> 129100.6 = (413.122*25^2)/2.

FAQ

What is Total Kinetic Energy of Geared System?

Total Kinetic Energy of Geared System formula is defined as a measure of the sum of kinetic energies of all rotating parts in a geared system, considering the moment of inertia and angular acceleration of each component, providing a comprehensive understanding of the system's dynamic behavior and is represented as KE = (MOI*α_A^2)/2 or Kinetic Energy = (Equivalent Mass of Geared System*Angular Acceleration of Shaft A^2)/2. Equivalent Mass of Geared System is the effective mass of a geared system, considering the moment of inertia and kinetic energy of the system & Angular Acceleration of Shaft A is the rate of change of angular velocity of a rotating shaft, describing its rotational motion around a fixed axis.

How to calculate Total Kinetic Energy of Geared System?

Total Kinetic Energy of Geared System formula is defined as a measure of the sum of kinetic energies of all rotating parts in a geared system, considering the moment of inertia and angular acceleration of each component, providing a comprehensive understanding of the system's dynamic behavior is calculated using Kinetic Energy = (Equivalent Mass of Geared System*Angular Acceleration of Shaft A^2)/2. To calculate Total Kinetic Energy of Geared System, you need Equivalent Mass of Geared System (MOI) & Angular Acceleration of Shaft A (α_A). With our tool, you need to enter the respective value for Equivalent Mass of Geared System & Angular Acceleration of Shaft A 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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