FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Kinetic Energy of Rotor Formula

Fx Copy

LaTeX Copy

Kinetic Energy of Rotor is defined as the energy that is proportional to the moment of inertia and the square of the synchronous speed of the rotor. Check FAQs

KE = (\frac{1}{2}) \cdot J \cdot {ω s}^{2} \cdot 10^{- 6}

KE - Kinetic Energy of Rotor?J - Rotor Moment of Inertia?ω_s - Synchronous Speed?

Kinetic Energy of Rotor Example

With values

With units

Only example

Here is how the Kinetic Energy of Rotor equation looks like with Values.

Here is how the Kinetic Energy of Rotor equation looks like with Units.

Here is how the Kinetic Energy of Rotor equation looks like.

0.0002 = (\frac{1}{2}) \cdot 6 \cdot 8^{2} \cdot 10^{- 6}

0.0002J = (\frac{1}{2}) \cdot 6kg·m² \cdot {8m/s}^{2} \cdot 10^{- 6}

0.0002 = (\frac{1}{2}) \cdot 6 \cdot 8^{2} \cdot 10^{- 6}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electrical » Category

Power System » fx Kinetic Energy of Rotor

Kinetic Energy of Rotor Solution

Follow our step by step solution on how to calculate Kinetic Energy of Rotor?

FIRST Step Consider the formula

KE = (\frac{1}{2}) \cdot J \cdot {ω s}^{2} \cdot 10^{- 6}

Next Step Substitute values of Variables

∴

KE = (\frac{1}{2}) \cdot 6kg·m² \cdot {8m/s}^{2} \cdot 10^{- 6}

Next Step Prepare to Evaluate

∴

KE = (\frac{1}{2}) \cdot 6 \cdot 8^{2} \cdot 10^{- 6}

Next Step Evaluate

∴

KE = 0.000192J

LAST Step Rounding Answer

∴

KE = 0.0002J

Kinetic Energy of Rotor Formula Elements

Variables

Kinetic Energy of Rotor

Kinetic Energy of Rotor is defined as the energy that is proportional to the moment of inertia and the square of the synchronous speed of the rotor.

Symbol: KE

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Kinetic Energy of Rotor

Rotor Moment of Inertia

Rotor Moment of Inertia is the rotational inertia that depends on the mass distribution and shape of the motor.

Symbol: J

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Rotor Moment of Inertia

Synchronous Speed

Synchronous Speed is defined as the speed that depends on the stability of the generator or motor to maintain synchronization of the grid.

Symbol: ω_s

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Synchronous Speed

Other formulas in Power System Stability category

Go Speed of Synchronous Machine

ω es = (\frac{P}{2}) \cdot ω r

Go Inertia Constant of Machine

M = \frac{G \cdot H}{180 \cdot fs}

Go Rotor Acceleration

P a = P i - P ep

Go Lossless Power Delivered in Synchronous Machine

P l = P max \cdot \sin (δ)

How to Evaluate Kinetic Energy of Rotor?

Kinetic Energy of Rotor evaluator uses Kinetic Energy of Rotor = (1/2)*Rotor Moment of Inertia*Synchronous Speed^2*10^-6 to evaluate the Kinetic Energy of Rotor, The Kinetic Energy of Rotor in power system stability is defined as the energy that is proportional to the half of moment of inertia of the rotor and square of the synchronous speed. Kinetic Energy of Rotor is denoted by KE symbol.

How to evaluate Kinetic Energy of Rotor using this online evaluator? To use this online evaluator for Kinetic Energy of Rotor, enter Rotor Moment of Inertia (J) & Synchronous Speed (ω_s) and hit the calculate button.

FAQs on Kinetic Energy of Rotor

What is the formula to find Kinetic Energy of Rotor?

The formula of Kinetic Energy of Rotor is expressed as Kinetic Energy of Rotor = (1/2)*Rotor Moment of Inertia*Synchronous Speed^2*10^-6. Here is an example- 0.000192 = (1/2)*6*8^2*10^-6.

How to calculate Kinetic Energy of Rotor?

With Rotor Moment of Inertia (J) & Synchronous Speed (ω_s) we can find Kinetic Energy of Rotor using the formula - Kinetic Energy of Rotor = (1/2)*Rotor Moment of Inertia*Synchronous Speed^2*10^-6.

Can the Kinetic Energy of Rotor be negative?

No, the Kinetic Energy of Rotor, measured in Energy cannot be negative.

Which unit is used to measure Kinetic Energy of Rotor?

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Kinetic Energy of Rotor Formula

Kinetic Energy of Rotor Example

Kinetic Energy of Rotor Solution

Kinetic Energy of Rotor Formula Elements

Other formulas in Power System Stability category

How to Evaluate Kinetic Energy of Rotor?

FAQs on Kinetic Energy of Rotor

Variable Name