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Total Kinetic Energy of Geared System Formula

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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. Check FAQs

KE = \frac{MOI \cdot {α A}^{2}}{2}

KE - Kinetic Energy?MOI - Equivalent Mass of Geared System?α_A - Angular Acceleration of Shaft A?

Total Kinetic Energy of Geared System Example

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Here is how the Total Kinetic Energy of Geared System equation looks like with Values.

Here is how the Total Kinetic Energy of Geared System equation looks like with Units.

Here is how the Total Kinetic Energy of Geared System equation looks like.

129100.625 = \frac{413.122 \cdot 25^{2}}{2}

129100.625J = \frac{413.122kg·m² \cdot 25^{2}}{2}

129100.625 = \frac{413.122 \cdot 25^{2}}{2}

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Total Kinetic Energy of Geared System Solution

Follow our step by step solution on how to calculate Total Kinetic Energy of Geared System?

FIRST Step Consider the formula

KE = \frac{MOI \cdot {α A}^{2}}{2}

Next Step Substitute values of Variables

∴

KE = \frac{413.122kg·m² \cdot 25^{2}}{2}

Next Step Prepare to Evaluate

∴

KE = \frac{413.122 \cdot 25^{2}}{2}

LAST Step Evaluate

∴

KE = 129100.625J

Total Kinetic Energy of Geared System Formula Elements

Variables

Kinetic Energy

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.

Symbol: KE

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Kinetic Energy

Equivalent Mass of Geared System

Equivalent Mass of Geared System is the effective mass of a geared system, considering the moment of inertia and kinetic energy of the system.

Symbol: MOI

Measurement: Moment of InertiaUnit: kg·m²

Note: Value can be positive or negative.

Formulas to find Equivalent Mass of Geared 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.

Symbol: α_A

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Angular Acceleration of Shaft A

Other formulas in Kinetics category

Go Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A

α B = G \cdot α A

Go Angular Velocity given Speed in RPM

ω = \frac{2 \cdot π \cdot N A}{60}

Go Centripetal Force or Centrifugal Force for given Angular Velocity and Radius of Curvature

Fc = Mass flight path \cdot ω^{2} \cdot R c

Go Coefficient of Restitution

e = \frac{v 1 - v 2}{u 2 - u 1}

How to Evaluate Total Kinetic Energy of Geared System?

Total Kinetic Energy of Geared System evaluator uses Kinetic Energy = (Equivalent Mass of Geared System*Angular Acceleration of Shaft A^2)/2 to evaluate 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 evaluate Total Kinetic Energy of Geared System using this online evaluator? To use this online evaluator 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.

FAQs on Total Kinetic Energy of Geared System

What is the formula to find Total Kinetic Energy of Geared System?

The formula of Total Kinetic Energy of Geared System is expressed as Kinetic Energy = (Equivalent Mass of Geared System*Angular Acceleration of Shaft A^2)/2. Here is an example- 129100.6 = (413.122*25^2)/2.

How to calculate Total Kinetic Energy of Geared System?

With Equivalent Mass of Geared System (MOI) & Angular Acceleration of Shaft A (α_A) we can find Total Kinetic Energy of Geared System using the formula - Kinetic Energy = (Equivalent Mass of Geared System*Angular Acceleration of Shaft A^2)/2.

Can the Total Kinetic Energy of Geared System be negative?

Yes, the Total Kinetic Energy of Geared System, measured in Energy can be negative.

Which unit is used to measure Total Kinetic Energy of Geared System?

Total Kinetic Energy of Geared System is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Total Kinetic Energy of Geared System can be measured.

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Total Kinetic Energy of Geared System Formula

Total Kinetic Energy of Geared System Example

Total Kinetic Energy of Geared System Solution

Total Kinetic Energy of Geared System Formula Elements

Other formulas in Kinetics category

How to Evaluate Total Kinetic Energy of Geared System?

FAQs on Total Kinetic Energy of Geared System

Variable Name