FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Moment of Inertia using Reduced Mass Formula

GoMoment of Inertia of Diatomic Molecule Formula

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

Fx Copy

LaTeX Copy

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 = μ \cdot ({L bond}^{2})

I1 - Moment of Inertia of Diatomic Molecule?μ - Reduced Mass?L_bond - Bond Length?

Moment of Inertia using Reduced Mass Example

With values

With units

Only example

Here is how the Moment of Inertia using Reduced Mass equation looks like with Values.

Here is how the Moment of Inertia using Reduced Mass equation looks like with Units.

Here is how the Moment of Inertia using Reduced Mass equation looks like.

0.02 = 8 \cdot (5^{2})

0.02kg·m² = 8kg \cdot ({5cm}^{2})

0.02 = 8 \cdot (5^{2})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Chemistry » Category

Analytical chemistry » Category

Molecular Spectroscopy » fx Moment of Inertia using Reduced Mass

Moment of Inertia using Reduced Mass Solution

Follow our step by step solution on how to calculate Moment of Inertia using Reduced Mass?

FIRST Step Consider the formula

I1 = μ \cdot ({L bond}^{2})

Next Step Substitute values of Variables

∴

I1 = 8kg \cdot ({5cm}^{2})

Next Step Convert Units

∴

I1 = 8kg \cdot ({0.05m}^{2})

Next Step Prepare to Evaluate

∴

I1 = 8 \cdot ({0.05}^{2})

LAST Step Evaluate

∴

I1 = 0.02kg·m²

Moment of Inertia using Reduced Mass 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

Reduced Mass

The Reduced Mass is the "effective" inertial mass appearing in the two-body problem. It is a quantity which allows the two-body problem to be solved as if it were a one-body problem.

Symbol: μ

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Reduced Mass

Bond Length

Bond Length in a diatomic molecule is the distance between center of two molecules(or two masses).

Symbol: L_bond

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Bond Length

Other Formulas to find Moment of Inertia of Diatomic Molecule

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 Masses of Diatomic Molecule and Bond Length

I1 = (\frac{m 1 \cdot m 2}{m 1 + m 2}) \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 using Reduced Mass?

Moment of Inertia using Reduced Mass evaluator uses Moment of Inertia of Diatomic Molecule = Reduced Mass*(Bond Length^2) to evaluate the Moment of Inertia of Diatomic Molecule, The Moment of Inertia using Reduced Mass formula is similar to moment of inertia of one body with mass equal to reduced mass. So it is product of reduced mass and square of bond length. Moment of Inertia of Diatomic Molecule is denoted by I1 symbol.

How to evaluate Moment of Inertia using Reduced Mass using this online evaluator? To use this online evaluator for Moment of Inertia using Reduced Mass, enter Reduced Mass (μ) & Bond Length (L_bond) and hit the calculate button.

FAQs on Moment of Inertia using Reduced Mass

What is the formula to find Moment of Inertia using Reduced Mass?

The formula of Moment of Inertia using Reduced Mass is expressed as Moment of Inertia of Diatomic Molecule = Reduced Mass*(Bond Length^2). Here is an example- 0.02 = 8*(0.05^2).

How to calculate Moment of Inertia using Reduced Mass?

With Reduced Mass (μ) & Bond Length (L_bond) we can find Moment of Inertia using Reduced Mass using the formula - Moment of Inertia of Diatomic Molecule = Reduced Mass*(Bond Length^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*Radius of Mass 1^2)+(Mass 2*Radius of Mass 2^2)
Moment of Inertia of Diatomic Molecule=((Mass 1*Mass 2)/(Mass 1+Mass 2))*(Bond Length^2)

Can the Moment of Inertia using Reduced Mass be negative?

Yes, the Moment of Inertia using Reduced Mass, measured in Moment of Inertia can be negative.

Which unit is used to measure Moment of Inertia using Reduced Mass?

Moment of Inertia using Reduced Mass 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 Reduced Mass can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit