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Moment of Inertia using Rotational Constant Formula

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

I3 = \frac{[hP]}{8 \cdot (π^{2}) \cdot [c] \cdot B}

I3 - Moment of Inertia given RC?B - Rotational Constant?[hP] - Planck constant?[c] - Light speed in vacuum?π - Archimedes' constant?

Moment of Inertia using Rotational Constant Example

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

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

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

4.6E-46 = \frac{6.6E-34}{8 \cdot ({3.1416}^{2}) \cdot 3E+8 \cdot 60.8}

4.6E-46kg·m² = \frac{6.6E-34}{8 \cdot ({3.1416}^{2}) \cdot 3E+8m/s \cdot 60.8m⁻¹}

4.6E-46 = \frac{6.6E-34}{8 \cdot ({3.1416}^{2}) \cdot 3E+8 \cdot 60.8}

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Moment of Inertia using Rotational Constant Solution

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

FIRST Step Consider the formula

I3 = \frac{[hP]}{8 \cdot (π^{2}) \cdot [c] \cdot B}

Next Step Substitute values of Variables

∴

I3 = \frac{[hP]}{8 \cdot (π^{2}) \cdot [c] \cdot 60.8m⁻¹}

Next Step Substitute values of Constants

∴

I3 = \frac{6.6E-34}{8 \cdot ({3.1416}^{2}) \cdot 3E+8m/s \cdot 60.8m⁻¹}

Next Step Prepare to Evaluate

∴

I3 = \frac{6.6E-34}{8 \cdot ({3.1416}^{2}) \cdot 3E+8 \cdot 60.8}

Next Step Evaluate

∴

I3 = 4.60407095037251E-46kg·m²

LAST Step Rounding Answer

∴

I3 = 4.6E-46kg·m²

Moment of Inertia using Rotational Constant Formula Elements

Variables

Constants

Moment of Inertia given RC

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

Symbol: I3

Measurement: Moment of InertiaUnit: kg·m²

Note: Value can be positive or negative.

Formulas to find Moment of Inertia given RC

Rotational Constant

Rotational Constant is defined for relating in energy and Rotational energy levels in diatomic molecules.

Symbol: B

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value can be positive or negative.

Formulas to find Rotational Constant

Planck constant

Planck constant is a fundamental universal constant that defines the quantum nature of energy and relates the energy of a photon to its frequency.

Symbol: [hP]

Value: 6.626070040E-34

Light speed in vacuum

Light speed in vacuum is a fundamental physical constant representing the speed at which light propagates through a vacuum.

Symbol: [c]

Value: 299792458.0 m/s

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 Constant?

Moment of Inertia using Rotational Constant evaluator uses Moment of Inertia given RC = [hP]/(8*(pi^2)*[c]*Rotational Constant) to evaluate the Moment of Inertia given RC, The Moment of inertia using rotational constant 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. It is inversely proportional to moment of inertia. Moment of Inertia given RC is denoted by I3 symbol.

How to evaluate Moment of Inertia using Rotational Constant using this online evaluator? To use this online evaluator for Moment of Inertia using Rotational Constant, enter Rotational Constant (B) and hit the calculate button.

FAQs on Moment of Inertia using Rotational Constant

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

The formula of Moment of Inertia using Rotational Constant is expressed as Moment of Inertia given RC = [hP]/(8*(pi^2)*[c]*Rotational Constant). Here is an example- 4.6E-46 = [hP]/(8*(pi^2)*[c]*60.8).

How to calculate Moment of Inertia using Rotational Constant?

With Rotational Constant (B) we can find Moment of Inertia using Rotational Constant using the formula - Moment of Inertia given RC = [hP]/(8*(pi^2)*[c]*Rotational Constant). This formula also uses Planck constant, Light speed in vacuum, Archimedes' constant .

Can the Moment of Inertia using Rotational Constant be negative?

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

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

Moment of Inertia using Rotational Constant 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 Constant can be measured.

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