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Moment of Inertia of Diatomic Molecule Formula

GoMoment of Inertia using Masses of Diatomic Molecule and Bond Length Formula

GoMoment of Inertia using Reduced Mass Formula

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

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

I1 - Moment of Inertia of Diatomic Molecule?m₁ - Mass 1?R₁ - Radius of Mass 1?m₂ - Mass 2?R₂ - Radius of Mass 2?

Moment of Inertia of Diatomic Molecule Example

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Here is how the Moment of Inertia of Diatomic Molecule equation looks like with Values.

Here is how the Moment of Inertia of Diatomic Molecule equation looks like with Units.

Here is how the Moment of Inertia of Diatomic Molecule equation looks like.

0.0176 = (14 \cdot {1.5}^{2}) + (16 \cdot 3^{2})

0.0176kg·m² = (14kg \cdot {1.5cm}^{2}) + (16kg \cdot {3cm}^{2})

0.0176 = (14 \cdot {1.5}^{2}) + (16 \cdot 3^{2})

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Molecular Spectroscopy » fx Moment of Inertia of Diatomic Molecule

Moment of Inertia of Diatomic Molecule Solution

Follow our step by step solution on how to calculate Moment of Inertia of Diatomic Molecule?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I1 = (14kg \cdot {1.5cm}^{2}) + (16kg \cdot {3cm}^{2})

Next Step Convert Units

∴

I1 = (14kg \cdot {0.015m}^{2}) + (16kg \cdot {0.03m}^{2})

Next Step Prepare to Evaluate

∴

I1 = (14 \cdot {0.015}^{2}) + (16 \cdot {0.03}^{2})

Next Step Evaluate

∴

I1 = 0.01755kg·m²

LAST Step Rounding Answer

∴

I1 = 0.0176kg·m²

Moment of Inertia of Diatomic Molecule Formula Elements

Variables

Moment of Inertia of Diatomic Molecule

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

Symbol: I1

Measurement: Moment of InertiaUnit: kg·m²

Note: Value can be positive or negative.

Formulas to find Moment of Inertia of Diatomic Molecule

Mass 1

Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.

Symbol: m₁

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass 1

Radius of Mass 1

Radius of mass 1 is a distance of mass 1 from the center of mass.

Symbol: R₁

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Radius of Mass 1

Mass 2

Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it.

Symbol: m₂

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass 2

Radius of Mass 2

Radius of Mass 2 is a distance of mass 2 from the center of mass.

Symbol: R₂

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Radius of Mass 2

Other Formulas to find Moment of Inertia of Diatomic Molecule

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})

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 using Angular Momentum

I2 = \frac{L}{ω}

Go Moment of Inertia using Kinetic Energy and Angular Momentum

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

Go Moment of Inertia using Rotational Constant

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

How to Evaluate Moment of Inertia of Diatomic Molecule?

Moment of Inertia of Diatomic Molecule evaluator uses Moment of Inertia of Diatomic Molecule = (Mass 1*Radius of Mass 1^2)+(Mass 2*Radius of Mass 2^2) to evaluate the Moment of Inertia of Diatomic Molecule, The Moment of inertia of diatomic molecule formula is defined as resistance of a body to angular acceleration about the center of mass. It is numerically defined as summation of mass* square of radius(distance from COM). Moment of Inertia of Diatomic Molecule is denoted by I1 symbol.

How to evaluate Moment of Inertia of Diatomic Molecule using this online evaluator? To use this online evaluator for Moment of Inertia of Diatomic Molecule, enter Mass 1 (m₁), Radius of Mass 1 (R₁), Mass 2 (m₂) & Radius of Mass 2 (R₂) and hit the calculate button.

FAQs on Moment of Inertia of Diatomic Molecule

What is the formula to find Moment of Inertia of Diatomic Molecule?

The formula of Moment of Inertia of Diatomic Molecule is expressed as Moment of Inertia of Diatomic Molecule = (Mass 1*Radius of Mass 1^2)+(Mass 2*Radius of Mass 2^2). Here is an example- 0.01755 = (14*0.015^2)+(16*0.03^2).

How to calculate Moment of Inertia of Diatomic Molecule?

With Mass 1 (m₁), Radius of Mass 1 (R₁), Mass 2 (m₂) & Radius of Mass 2 (R₂) we can find Moment of Inertia of Diatomic Molecule using the formula - Moment of Inertia of Diatomic Molecule = (Mass 1*Radius of Mass 1^2)+(Mass 2*Radius of Mass 2^2).

What are the other ways to Calculate Moment of Inertia of Diatomic Molecule?

Here are the different ways to Calculate Moment of Inertia of Diatomic Molecule-

Moment of Inertia of Diatomic Molecule=((Mass 1*Mass 2)/(Mass 1+Mass 2))*(Bond Length^2)
Moment of Inertia of Diatomic Molecule=Reduced Mass*(Bond Length^2)

Can the Moment of Inertia of Diatomic Molecule be negative?

Yes, the Moment of Inertia of Diatomic Molecule, measured in Moment of Inertia can be negative.

Which unit is used to measure Moment of Inertia of Diatomic Molecule?

Moment of Inertia of Diatomic Molecule 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 Diatomic Molecule can be measured.

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Moment of Inertia of Diatomic Molecule Formula

​GoMoment of Inertia using Masses of Diatomic Molecule and Bond Length Formula

​GoMoment of Inertia using Reduced Mass Formula

Moment of Inertia of Diatomic Molecule Example

Moment of Inertia of Diatomic Molecule Solution

Moment of Inertia of Diatomic Molecule Formula Elements

Other Formulas to find Moment of Inertia of Diatomic Molecule

Other formulas in Moment of Inertia category

How to Evaluate Moment of Inertia of Diatomic Molecule?

FAQs on Moment of Inertia of Diatomic Molecule

Variable Name

GoMoment of Inertia using Masses of Diatomic Molecule and Bond Length Formula

GoMoment of Inertia using Reduced Mass Formula