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Moment of Inertia using Kinetic Energy and Angular Momentum Formula

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

I = \frac{L^{2}}{2 \cdot KE}

I - Moment of Inertia?L - Angular Momentum?KE - Kinetic Energy?

Moment of Inertia using Kinetic Energy and Angular Momentum Example

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Here is how the Moment of Inertia using Kinetic Energy and Angular Momentum equation looks like with Units.

Here is how the Moment of Inertia using Kinetic Energy and Angular Momentum equation looks like.

2.45 = \frac{14^{2}}{2 \cdot 40}

2.45kg·m² = \frac{{14kg*m²/s}^{2}}{2 \cdot 40J}

2.45 = \frac{14^{2}}{2 \cdot 40}

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Moment of Inertia using Kinetic Energy and Angular Momentum Solution

Follow our step by step solution on how to calculate Moment of Inertia using Kinetic Energy and Angular Momentum?

FIRST Step Consider the formula

I = \frac{L^{2}}{2 \cdot KE}

Next Step Substitute values of Variables

∴

I = \frac{{14kg*m²/s}^{2}}{2 \cdot 40J}

Next Step Prepare to Evaluate

∴

I = \frac{14^{2}}{2 \cdot 40}

LAST Step Evaluate

∴

I = 2.45kg·m²

Moment of Inertia using Kinetic Energy and Angular Momentum Formula Elements

Variables

Moment of Inertia

Moment of Inertia 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

Angular Momentum

Angular Momentum is the degree to which a body rotates, gives its angular momentum.

Symbol: L

Measurement: Angular MomentumUnit: kg*m²/s

Note: Value can be positive or negative.

Formulas to find Angular Momentum

Kinetic Energy

Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.

Symbol: KE

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Kinetic Energy

Other formulas in Moment of Inertia category

Go Moment of Inertia using Kinetic Energy

I2 = 2 \cdot \frac{KE}{ω^{2}}

Go Moment of Inertia of Diatomic Molecule

I1 = (m 1 \cdot {R 1}^{2}) + (m 2 \cdot {R 2}^{2})

Go Moment of Inertia using Angular Momentum

I2 = \frac{L}{ω}

Go Moment of Inertia using Masses of Diatomic Molecule and Bond Length

I1 = (\frac{m 1 \cdot m 2}{m 1 + m 2}) \cdot ({L bond}^{2})

How to Evaluate Moment of Inertia using Kinetic Energy and Angular Momentum?

Moment of Inertia using Kinetic Energy and Angular Momentum evaluator uses Moment of Inertia = (Angular Momentum^2)/(2*Kinetic Energy) to evaluate the Moment of Inertia, The Moment of inertia using kinetic energy and angular momentum formula is defined as the quantity expressed by the body resisting angular acceleration which is the sum of the product of the mass of every particle with its square of a distance from COM. And this relation can be related to kinetic energy and angular momentum. Moment of Inertia is denoted by I symbol.

How to evaluate Moment of Inertia using Kinetic Energy and Angular Momentum using this online evaluator? To use this online evaluator for Moment of Inertia using Kinetic Energy and Angular Momentum, enter Angular Momentum (L) & Kinetic Energy (KE) and hit the calculate button.

FAQs on Moment of Inertia using Kinetic Energy and Angular Momentum

What is the formula to find Moment of Inertia using Kinetic Energy and Angular Momentum?

The formula of Moment of Inertia using Kinetic Energy and Angular Momentum is expressed as Moment of Inertia = (Angular Momentum^2)/(2*Kinetic Energy). Here is an example- 2.45 = (14^2)/(2*40).

How to calculate Moment of Inertia using Kinetic Energy and Angular Momentum?

With Angular Momentum (L) & Kinetic Energy (KE) we can find Moment of Inertia using Kinetic Energy and Angular Momentum using the formula - Moment of Inertia = (Angular Momentum^2)/(2*Kinetic Energy).

Can the Moment of Inertia using Kinetic Energy and Angular Momentum be negative?

No, the Moment of Inertia using Kinetic Energy and Angular Momentum, measured in Moment of Inertia cannot be negative.

Which unit is used to measure Moment of Inertia using Kinetic Energy and Angular Momentum?

Moment of Inertia using Kinetic Energy and Angular Momentum 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 using Kinetic Energy and Angular Momentum can be measured.

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