FormulaDen.com

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

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

Fx Copy

LaTeX Copy

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

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

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

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

With values

With units

Only example

Here is how the Moment of Inertia of System given Kinetic Energy of Rotating Body equation looks like with Values.

Here is how the Moment of Inertia of System given Kinetic Energy of Rotating Body equation looks like with Units.

Here is how the Moment of Inertia of System given Kinetic Energy of Rotating Body equation looks like.

141.4049 = 2 \cdot \frac{94950}{{36.65}^{2} - {0.52}^{2}}

141.4049kg·m² = 2 \cdot \frac{94950J}{{36.65rad/s}^{2} - {0.52rad/s}^{2}}

141.4049 = 2 \cdot \frac{94950}{{36.65}^{2} - {0.52}^{2}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Design of Automobile Elements » fx Moment of Inertia of System given Kinetic Energy of Rotating Body

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

Follow our step by step solution on how to calculate Moment of Inertia of System given Kinetic Energy of Rotating Body?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I = 2 \cdot \frac{94950J}{{36.65rad/s}^{2} - {0.52rad/s}^{2}}

Next Step Prepare to Evaluate

∴

I = 2 \cdot \frac{94950}{{36.65}^{2} - {0.52}^{2}}

Next Step Evaluate

∴

I = 141.404894485812kg·m²

LAST Step Rounding Answer

∴

I = 141.4049kg·m²

Moment of Inertia of System given Kinetic Energy of Rotating Body Formula Elements

Variables

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

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

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 in Energy and Thermal Equation category

Go Kinetic Energy Absorbed by Brake

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

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})}

How to Evaluate Moment of Inertia of System given Kinetic Energy of Rotating Body?

Moment of Inertia of System given Kinetic Energy of Rotating Body evaluator uses Moment of Inertia of Braked Assembly = 2*Kinetic Energy Absorbed by Brake/(Initial Angular Velocity of Braked System^2-Final Angular Velocity of Braked System^2) to evaluate the Moment of Inertia of Braked Assembly, The Moment of Inertia of System given Kinetic Energy of Rotating Body formula is defined as quantity expressing body's tendency to resist angular acceleration, which is sum of products of mass of each particle in body with square of its distance from axis of rotation. Moment of Inertia of Braked Assembly is denoted by I symbol.

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

FAQs on Moment of Inertia of System given Kinetic Energy of Rotating Body

What is the formula to find Moment of Inertia of System given Kinetic Energy of Rotating Body?

The formula of Moment of Inertia of System given Kinetic Energy of Rotating Body is expressed as Moment of Inertia of Braked Assembly = 2*Kinetic Energy Absorbed by Brake/(Initial Angular Velocity of Braked System^2-Final Angular Velocity of Braked System^2). Here is an example- 141.4049 = 2*94950/(36.65^2-0.52^2).

How to calculate Moment of Inertia of System given Kinetic Energy of Rotating Body?

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

Can the Moment of Inertia of System given Kinetic Energy of Rotating Body be negative?

No, the Moment of Inertia of System given Kinetic Energy of Rotating Body, measured in Moment of Inertia cannot be negative.

Which unit is used to measure Moment of Inertia of System given Kinetic Energy of Rotating Body?

Moment of Inertia of System given Kinetic Energy of Rotating Body is usually measured using the Kilogram Square Meter[kg·m²] for Moment of Inertia. Kilogram Square Centimeter[kg·m²], Kilogram Square Millimeter[kg·m²], Gram Square Centimeter[kg·m²] are the few other units in which Moment of Inertia of System given Kinetic Energy of Rotating Body can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

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

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

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

Moment of Inertia of System given Kinetic Energy of Rotating Body Formula Elements

Other formulas in Energy and Thermal Equation category

How to Evaluate Moment of Inertia of System given Kinetic Energy of Rotating Body?

FAQs on Moment of Inertia of System given Kinetic Energy of Rotating Body

Variable Name