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Moment of Inertia using Rotational Energy Formula

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

I4 = \frac{2 \cdot E rot}{ω^{2}}

I4 - Moment of Inertia given RE?E_rot - Rotational Energy?ω - Angular Velocity Spectroscopy?

Moment of Inertia using Rotational Energy Example

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Here is how the Moment of Inertia using Rotational Energy equation looks like with Values.

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

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

0.75 = \frac{2 \cdot 150}{20^{2}}

0.75kg·m² = \frac{2 \cdot 150J}{{20rad/s}^{2}}

0.75 = \frac{2 \cdot 150}{20^{2}}

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Moment of Inertia using Rotational Energy Solution

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

FIRST Step Consider the formula

I4 = \frac{2 \cdot E rot}{ω^{2}}

Next Step Substitute values of Variables

∴

I4 = \frac{2 \cdot 150J}{{20rad/s}^{2}}

Next Step Prepare to Evaluate

∴

I4 = \frac{2 \cdot 150}{20^{2}}

LAST Step Evaluate

∴

I4 = 0.75kg·m²

Moment of Inertia using Rotational Energy Formula Elements

Variables

Moment of Inertia given RE

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

Symbol: I4

Measurement: Moment of InertiaUnit: kg·m²

Note: Value can be positive or negative.

Formulas to find Moment of Inertia given RE

Rotational Energy

Rotational Energy is energy of the rotational levels in the Rotational Spectroscopy of Diatomic Molecules.

Symbol: E_rot

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Rotational 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 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 Kinetic Energy and Angular Momentum

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

How to Evaluate Moment of Inertia using Rotational Energy?

Moment of Inertia using Rotational Energy evaluator uses Moment of Inertia given RE = (2*Rotational Energy)/(Angular Velocity Spectroscopy^2) to evaluate the Moment of Inertia given RE, The Moment of inertia using rotational energy formula is defined as the quantity expressed by the body resisting angular acceleration. And Rotational constant is defined for relating in energy and Rotational energy levels in diatomic molecules. Beta have relation with energy levels. Moment of Inertia given RE is denoted by I4 symbol.

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

FAQs on Moment of Inertia using Rotational Energy

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

The formula of Moment of Inertia using Rotational Energy is expressed as Moment of Inertia given RE = (2*Rotational Energy)/(Angular Velocity Spectroscopy^2). Here is an example- 0.75 = (2*150)/(20^2).

How to calculate Moment of Inertia using Rotational Energy?

With Rotational Energy (E_rot) & Angular Velocity Spectroscopy (ω) we can find Moment of Inertia using Rotational Energy using the formula - Moment of Inertia given RE = (2*Rotational Energy)/(Angular Velocity Spectroscopy^2).

Can the Moment of Inertia using Rotational Energy be negative?

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

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

Moment of Inertia using Rotational 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 Rotational Energy can be measured.

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Moment of Inertia using Rotational Energy Formula

Moment of Inertia using Rotational Energy Example

Moment of Inertia using Rotational Energy Solution

Moment of Inertia using Rotational Energy Formula Elements

Other formulas in Moment of Inertia category

How to Evaluate Moment of Inertia using Rotational Energy?

FAQs on Moment of Inertia using Rotational Energy

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