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Moment of Inertia using Kinetic Energy Formula

GoMoment of Inertia using Angular Momentum Formula

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

I2 = 2 \cdot \frac{KE}{ω^{2}}

I2 - Moment of Inertia using Angular Momentum?KE - Kinetic Energy?ω - Angular Velocity Spectroscopy?

Moment of Inertia using Kinetic Energy Example

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

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

0.2 = 2 \cdot \frac{40}{20^{2}}

0.2kg·m² = 2 \cdot \frac{40J}{{20rad/s}^{2}}

0.2 = 2 \cdot \frac{40}{20^{2}}

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Moment of Inertia using Kinetic Energy Solution

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

FIRST Step Consider the formula

I2 = 2 \cdot \frac{KE}{ω^{2}}

Next Step Substitute values of Variables

∴

I2 = 2 \cdot \frac{40J}{{20rad/s}^{2}}

Next Step Prepare to Evaluate

∴

I2 = 2 \cdot \frac{40}{20^{2}}

LAST Step Evaluate

∴

I2 = 0.2kg·m²

Moment of Inertia using Kinetic Energy Formula Elements

Variables

Moment of Inertia using Angular Momentum

Moment of Inertia using Angular Momentum is the measure of the resistance of a body to angular acceleration about a given axis.

Symbol: I2

Measurement: Moment of InertiaUnit: kg·m²

Note: Value can be positive or negative.

Formulas to find Moment of Inertia using 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

Angular Velocity Spectroscopy

Angular Velocity Spectroscopy refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity Spectroscopy

Other Formulas to find Moment of Inertia using Angular Momentum

Go Moment of Inertia using Angular Momentum

I2 = \frac{L}{ω}

Other formulas in Moment of Inertia category

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 Kinetic Energy and Angular Momentum

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

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})

Go Moment of Inertia using Reduced Mass

I1 = μ \cdot ({L bond}^{2})

How to Evaluate Moment of Inertia using Kinetic Energy?

Moment of Inertia using Kinetic Energy evaluator uses Moment of Inertia using Angular Momentum = 2*Kinetic Energy/(Angular Velocity Spectroscopy^2) to evaluate the Moment of Inertia using Angular Momentum, The Moment of Inertia using Kinetic Energy formula is a variation of K.E. formula. As kinetic energy is directly proportional to the rotational inertia and the square of the magnitude of the angular velocity. Kinetic energy of a rotating object can be expressed as half of the product of the angular velocity of the object and moment of inertia around the axis of rotation. So thus we get the relation between moment of inertia and K.E. Moment of Inertia using Angular Momentum is denoted by I2 symbol.

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

FAQs on Moment of Inertia using Kinetic Energy

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

The formula of Moment of Inertia using Kinetic Energy is expressed as Moment of Inertia using Angular Momentum = 2*Kinetic Energy/(Angular Velocity Spectroscopy^2). Here is an example- 0.2 = 2*40/(20^2).

How to calculate Moment of Inertia using Kinetic Energy?

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

What are the other ways to Calculate Moment of Inertia using Angular Momentum?

Here are the different ways to Calculate Moment of Inertia using Angular Momentum-

Moment of Inertia using Angular Momentum=Angular Momentum/Angular Velocity Spectroscopy

Can the Moment of Inertia using Kinetic Energy be negative?

Yes, the Moment of Inertia using Kinetic Energy, measured in Moment of Inertia can be negative.

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

Moment of Inertia using Kinetic Energy 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 can be measured.

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Moment of Inertia using Kinetic Energy Formula

​GoMoment of Inertia using Angular Momentum Formula

Moment of Inertia using Kinetic Energy Example

Moment of Inertia using Kinetic Energy Solution

Moment of Inertia using Kinetic Energy Formula Elements

Other Formulas to find Moment of Inertia using Angular Momentum

Other formulas in Moment of Inertia category

How to Evaluate Moment of Inertia using Kinetic Energy?

FAQs on Moment of Inertia using Kinetic Energy

Variable Name

GoMoment of Inertia using Angular Momentum Formula