Moment of Inertia using Reduced Mass Calculator

✖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.ⓘ Reduced Mass [μ]			+10% -10%
✖Bond Length in a diatomic molecule is the distance between center of two molecules(or two masses).ⓘ Bond Length [L_bond]			+10% -10%

✖Moment of Inertia of Diatomic Molecule is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia using Reduced Mass [I1]

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Moment of Inertia using Reduced Mass Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia of Diatomic Molecule = Reduced Mass*(Bond Length^2)
I1 = μ*(L_bond^2)
This formula uses 3 Variables

Variables Used

Moment of Inertia of Diatomic Molecule - (Measured in Kilogram Square Meter) - Moment of Inertia of Diatomic Molecule is the measure of the resistance of a body to angular acceleration about a given axis.
Reduced Mass - (Measured in Kilogram) - 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.
Bond Length - (Measured in Meter) - Bond Length in a diatomic molecule is the distance between center of two molecules(or two masses).

STEP 1: Convert Input(s) to Base Unit

Reduced Mass: 8 Kilogram --> 8 Kilogram No Conversion Required
Bond Length: 5 Centimeter --> 0.05 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I1 = μ*(L_bond^2) --> 8*(0.05^2)

Evaluating ... ...

I1 = 0.02

STEP 3: Convert Result to Output's Unit

0.02 Kilogram Square Meter --> No Conversion Required

FINAL ANSWER

0.02 Kilogram Square Meter <-- Moment of Inertia of Diatomic Molecule

(Calculation completed in 00.004 seconds)

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Created by Nishant Sihag

Indian Institute of Technology (IIT), Delhi

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< Moment of Inertia Calculators

Moment of Inertia of Diatomic Molecule

LaTeX Go Moment of Inertia of Diatomic Molecule = (Mass 1*Radius of Mass 1^2)+(Mass 2*Radius of Mass 2^2)

Moment of Inertia using Kinetic Energy

LaTeX Go Moment of Inertia using Angular Momentum = 2*Kinetic Energy/(Angular Velocity Spectroscopy^2)

Moment of Inertia using Angular Momentum

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

Reduced Mass using Moment of Inertia

LaTeX Go Reduced Mass1 = Moment of Inertia/(Bond Length^2)

< Moment of inertia Calculators

Moment of Inertia of Diatomic Molecule

LaTeX Go Moment of Inertia of Diatomic Molecule = (Mass 1*Radius of Mass 1^2)+(Mass 2*Radius of Mass 2^2)

Moment of Inertia using Kinetic Energy

LaTeX Go Moment of Inertia using Angular Momentum = 2*Kinetic Energy/(Angular Velocity Spectroscopy^2)

Moment of Inertia using Angular Momentum

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

Moment of Inertia using Kinetic Energy and Angular Momentum

LaTeX Go Moment of Inertia = (Angular Momentum^2)/(2*Kinetic Energy)

Moment of Inertia using Reduced Mass Formula

LaTeX Go

Moment of Inertia of Diatomic Molecule = Reduced Mass*(Bond Length^2)
I1 = μ*(L_bond^2)

How to get Moment of inertia using reduced mass?

Moment of inertia using reduces mass is similar to moment of inertia of one particle with that mass. So, it is product of reduced mass and square of bond length. Numerically written as μ*(l^2).

How to Calculate Moment of Inertia using Reduced Mass?

Moment of Inertia using Reduced Mass calculator uses Moment of Inertia of Diatomic Molecule = Reduced Mass*(Bond Length^2) to calculate 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 calculate Moment of Inertia using Reduced Mass using this online calculator? To use this online calculator for Moment of Inertia using Reduced Mass, enter Reduced Mass (μ) & Bond Length (L_bond) and hit the calculate button. Here is how the Moment of Inertia using Reduced Mass calculation can be explained with given input values -> 0.02 = 8*(0.05^2).

FAQ

What is Moment of Inertia using Reduced Mass?

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 and is represented as I1 = μ*(L_bond^2) or Moment of Inertia of Diatomic Molecule = Reduced Mass*(Bond Length^2). 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 & Bond Length in a diatomic molecule is the distance between center of two molecules(or two masses).

How to calculate Moment of Inertia using Reduced Mass?

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 is calculated using Moment of Inertia of Diatomic Molecule = Reduced Mass*(Bond Length^2). To calculate Moment of Inertia using Reduced Mass, you need Reduced Mass (μ) & Bond Length (L_bond). With our tool, you need to enter the respective value for Reduced Mass & Bond Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Moment of Inertia of Diatomic Molecule?

In this formula, Moment of Inertia of Diatomic Molecule uses Reduced Mass & Bond Length. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)
Moment of Inertia of Diatomic Molecule = (Mass 1*Radius of Mass 1^2)+(Mass 2*Radius of Mass 2^2)

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