Moment of Inertia of Diatomic Molecule Calculator

✖Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.ⓘ Mass 1 [m₁]			+10% -10%
✖Radius of mass 1 is a distance of mass 1 from the center of mass.ⓘ Radius of Mass 1 [R₁]			+10% -10%
✖Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it.ⓘ Mass 2 [m₂]			+10% -10%
✖Radius of Mass 2 is a distance of mass 2 from the center of mass.ⓘ Radius of Mass 2 [R₂]			+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 of Diatomic Molecule [I1]

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Moment of Inertia of Diatomic Molecule Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia of Diatomic Molecule = (Mass 1*Radius of Mass 1^2)+(Mass 2*Radius of Mass 2^2)
I1 = (m₁*R₁^2)+(m₂*R₂^2)
This formula uses 5 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.
Mass 1 - (Measured in Kilogram) - Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.
Radius of Mass 1 - (Measured in Meter) - Radius of mass 1 is a distance of mass 1 from the center of mass.
Mass 2 - (Measured in Kilogram) - Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it.
Radius of Mass 2 - (Measured in Meter) - Radius of Mass 2 is a distance of mass 2 from the center of mass.

STEP 1: Convert Input(s) to Base Unit

Mass 1: 14 Kilogram --> 14 Kilogram No Conversion Required
Radius of Mass 1: 1.5 Centimeter --> 0.015 Meter (Check conversion here)
Mass 2: 16 Kilogram --> 16 Kilogram No Conversion Required
Radius of Mass 2: 3 Centimeter --> 0.03 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I1 = (m₁*R₁^2)+(m₂*R₂^2) --> (14*0.015^2)+(16*0.03^2)

Evaluating ... ...

I1 = 0.01755

STEP 3: Convert Result to Output's Unit

0.01755 Kilogram Square Meter --> No Conversion Required

FINAL ANSWER

0.01755 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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National Institute of Information Technology (NIIT), Neemrana

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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 of Diatomic Molecule Formula

LaTeX Go

Moment of Inertia of Diatomic Molecule = (Mass 1*Radius of Mass 1^2)+(Mass 2*Radius of Mass 2^2)
I1 = (m₁*R₁^2)+(m₂*R₂^2)

How to get Moment of inertia of diatomic molecule?

The total moment of inertia is the sum of the moments of inertia of the mass elements in the body. And moment of inertia of mass element is mass of particle times square of the radius (distance from center of mass). So to get total moment of inertia we add moment of inertia for both mass element (m1 and m2).

How to Calculate Moment of Inertia of Diatomic Molecule?

Moment of Inertia of Diatomic Molecule calculator uses Moment of Inertia of Diatomic Molecule = (Mass 1*Radius of Mass 1^2)+(Mass 2*Radius of Mass 2^2) to calculate 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 calculate Moment of Inertia of Diatomic Molecule using this online calculator? To use this online calculator 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. Here is how the Moment of Inertia of Diatomic Molecule calculation can be explained with given input values -> 0.01755 = (14*0.015^2)+(16*0.03^2).

FAQ

What is 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) and is represented as I1 = (m₁*R₁^2)+(m₂*R₂^2) or Moment of Inertia of Diatomic Molecule = (Mass 1*Radius of Mass 1^2)+(Mass 2*Radius of Mass 2^2). Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it, Radius of mass 1 is a distance of mass 1 from the center of mass, Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it & Radius of Mass 2 is a distance of mass 2 from the center of mass.

How to calculate 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) is calculated using Moment of Inertia of Diatomic Molecule = (Mass 1*Radius of Mass 1^2)+(Mass 2*Radius of Mass 2^2). To calculate Moment of Inertia of Diatomic Molecule, you need Mass 1 (m₁), Radius of Mass 1 (R₁), Mass 2 (m₂) & Radius of Mass 2 (R₂). With our tool, you need to enter the respective value for Mass 1, Radius of Mass 1, Mass 2 & Radius of Mass 2 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 Mass 1, Radius of Mass 1, Mass 2 & Radius of Mass 2. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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