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Kinetic energy of Rotating Body Formula

GoKinetic Energy Absorbed by Brake Formula

GoTotal Energy Absorbed by Brake Formula

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Kinetic Energy Absorbed by Brake is defined as the energy absorbed by the braking system. Check FAQs

KE = I \cdot \frac{{ω 1}^{2} - {ω 2}^{2}}{2}

KE - Kinetic Energy Absorbed by Brake?I - Moment of Inertia of Braked Assembly?ω₁ - Initial Angular Velocity of Braked System?ω₂ - Final Angular Velocity of Braked System?

Kinetic energy of Rotating Body Example

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Here is how the Kinetic energy of Rotating Body equation looks like with Values.

Here is how the Kinetic energy of Rotating Body equation looks like with Units.

Here is how the Kinetic energy of Rotating Body equation looks like.

94946.7135 = 141.4 \cdot \frac{{36.65}^{2} - {0.52}^{2}}{2}

94946.7135J = 141.4kg·m² \cdot \frac{{36.65rad/s}^{2} - {0.52rad/s}^{2}}{2}

94946.7135 = 141.4 \cdot \frac{{36.65}^{2} - {0.52}^{2}}{2}

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Kinetic energy of Rotating Body Solution

Follow our step by step solution on how to calculate Kinetic energy of Rotating Body?

FIRST Step Consider the formula

KE = I \cdot \frac{{ω 1}^{2} - {ω 2}^{2}}{2}

Next Step Substitute values of Variables

∴

KE = 141.4kg·m² \cdot \frac{{36.65rad/s}^{2} - {0.52rad/s}^{2}}{2}

Next Step Prepare to Evaluate

∴

KE = 141.4 \cdot \frac{{36.65}^{2} - {0.52}^{2}}{2}

Next Step Evaluate

∴

KE = 94946.71347J

LAST Step Rounding Answer

∴

KE = 94946.7135J

Kinetic energy of Rotating Body Formula Elements

Variables

Kinetic Energy Absorbed by Brake

Kinetic Energy Absorbed by Brake is defined as the energy absorbed by the braking system.

Symbol: KE

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Kinetic Energy Absorbed by Brake

Moment of Inertia of Braked Assembly

Moment of Inertia of Braked Assembly is the measure of the resistance of a body to angular acceleration about a given axis.

Symbol: I

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Moment of Inertia of Braked Assembly

Initial Angular Velocity of Braked System

Initial Angular Velocity of Braked System is the velocity at which the system or the object is rotating before the brakes are applied.

Symbol: ω₁

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Initial Angular Velocity of Braked System

Final Angular Velocity of Braked System

Final Angular Velocity of Braked System is the velocity at which the system or the object is rotating after the brakes are totally applied.

Symbol: ω₂

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Final Angular Velocity of Braked System

Other Formulas to find Kinetic Energy Absorbed by Brake

Go Kinetic Energy Absorbed by Brake

KE = m \cdot \frac{u^{2} - v^{2}}{2}

Go Total Energy Absorbed by Brake

KE = M s \cdot θ b

Other formulas in Energy and Thermal Equation category

Go Mass of System given Kinetic Energy Absorbed by Brakes

m = 2 \cdot \frac{KE}{u^{2} - v^{2}}

Go Initial Velocity of System given Kinetic Energy Absorbed by Brakes

u = \sqrt{(2 \cdot \frac{KE}{m}) + v^{2}}

Go Final Velocity given Kinetic Energy Absorbed by Brakes

v = \sqrt{u^{2} - (2 \cdot \frac{KE}{m})}

Go Moment of Inertia of System given Kinetic Energy of Rotating Body

I = 2 \cdot \frac{KE}{{ω 1}^{2} - {ω 2}^{2}}

How to Evaluate Kinetic energy of Rotating Body?

Kinetic energy of Rotating Body evaluator uses Kinetic Energy Absorbed by Brake = Moment of Inertia of Braked Assembly*(Initial Angular Velocity of Braked System^2-Final Angular Velocity of Braked System^2)/2 to evaluate the Kinetic Energy Absorbed by Brake, The Kinetic energy of Rotating Body formula is defined as the measure of the work an object can do by the virtue of its motion. Kinetic Energy Absorbed by Brake is denoted by KE symbol.

How to evaluate Kinetic energy of Rotating Body using this online evaluator? To use this online evaluator for Kinetic energy of Rotating Body, enter Moment of Inertia of Braked Assembly (I), Initial Angular Velocity of Braked System (ω₁) & Final Angular Velocity of Braked System (ω₂) and hit the calculate button.

FAQs on Kinetic energy of Rotating Body

What is the formula to find Kinetic energy of Rotating Body?

The formula of Kinetic energy of Rotating Body is expressed as Kinetic Energy Absorbed by Brake = Moment of Inertia of Braked Assembly*(Initial Angular Velocity of Braked System^2-Final Angular Velocity of Braked System^2)/2. Here is an example- 94946.71 = 141.4*(36.65^2-0.52^2)/2.

How to calculate Kinetic energy of Rotating Body?

With Moment of Inertia of Braked Assembly (I), Initial Angular Velocity of Braked System (ω₁) & Final Angular Velocity of Braked System (ω₂) we can find Kinetic energy of Rotating Body using the formula - Kinetic Energy Absorbed by Brake = Moment of Inertia of Braked Assembly*(Initial Angular Velocity of Braked System^2-Final Angular Velocity of Braked System^2)/2.

What are the other ways to Calculate Kinetic Energy Absorbed by Brake?

Here are the different ways to Calculate Kinetic Energy Absorbed by Brake-

Kinetic Energy Absorbed by Brake=Mass of Brake Assembly*(Initial Velocity Before Braking^2-Final Velocity After Braking^2)/2
Kinetic Energy Absorbed by Brake=Braking Torque on System*Angle of Rotation of Brake Disc

Can the Kinetic energy of Rotating Body be negative?

No, the Kinetic energy of Rotating Body, measured in Energy cannot be negative.

Which unit is used to measure Kinetic energy of Rotating Body?

Kinetic energy of Rotating Body 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 Rotating Body can be measured.

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Kinetic energy of Rotating Body Formula

​GoKinetic Energy Absorbed by Brake Formula

​GoTotal Energy Absorbed by Brake Formula

Kinetic energy of Rotating Body Example

Kinetic energy of Rotating Body Solution

Kinetic energy of Rotating Body Formula Elements

Other Formulas to find Kinetic Energy Absorbed by Brake

Other formulas in Energy and Thermal Equation category

How to Evaluate Kinetic energy of Rotating Body?

FAQs on Kinetic energy of Rotating Body

Variable Name

GoKinetic Energy Absorbed by Brake Formula

GoTotal Energy Absorbed by Brake Formula