Moment of Inertia using Masses of Diatomic Molecule and Bond Length 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%
✖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%
✖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 Masses of Diatomic Molecule and Bond Length [I1]

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Moment of Inertia using Masses of Diatomic Molecule and Bond Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia of Diatomic Molecule = ((Mass 1*Mass 2)/(Mass 1+Mass 2))*(Bond Length^2)
I1 = ((m₁*m₂)/(m₁+m₂))*(L_bond^2)
This formula uses 4 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.
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.
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

Mass 1: 14 Kilogram --> 14 Kilogram No Conversion Required
Mass 2: 16 Kilogram --> 16 Kilogram No Conversion Required
Bond Length: 5 Centimeter --> 0.05 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I1 = ((m₁*m₂)/(m₁+m₂))*(L_bond^2) --> ((14*16)/(14+16))*(0.05^2)

Evaluating ... ...

I1 = 0.0186666666666667

STEP 3: Convert Result to Output's Unit

0.0186666666666667 Kilogram Square Meter --> No Conversion Required

FINAL ANSWER

0.0186666666666667 ≈ 0.018667 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 using Masses of Diatomic Molecule and Bond Length Formula

LaTeX Go

Moment of Inertia of Diatomic Molecule = ((Mass 1*Mass 2)/(Mass 1+Mass 2))*(Bond Length^2)
I1 = ((m₁*m₂)/(m₁+m₂))*(L_bond^2)

How to get Moment of inertia using masses of diatomic molecule and bond length?

By using, 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). Further using relation of radii with bond length obtained through simple algebra. Thus both radii can be found in terms of their masses and bond length. And a relation or formula of Moment of inertia using masses of diatomic molecule and bond length is obtained.

How to Calculate Moment of Inertia using Masses of Diatomic Molecule and Bond Length?

Moment of Inertia using Masses of Diatomic Molecule and Bond Length calculator uses Moment of Inertia of Diatomic Molecule = ((Mass 1*Mass 2)/(Mass 1+Mass 2))*(Bond Length^2) to calculate the Moment of Inertia of Diatomic Molecule, The Moment of inertia using masses of diatomic molecule and bond length formula is basically derived from two relationships, first between moment of inertia and radii(distance from COM) and the second one is relation between bond length and these radii. Moment of Inertia of Diatomic Molecule is denoted by I1 symbol.

How to calculate Moment of Inertia using Masses of Diatomic Molecule and Bond Length using this online calculator? To use this online calculator for Moment of Inertia using Masses of Diatomic Molecule and Bond Length, enter Mass 1 (m₁), Mass 2 (m₂) & Bond Length (L_bond) and hit the calculate button. Here is how the Moment of Inertia using Masses of Diatomic Molecule and Bond Length calculation can be explained with given input values -> 0.018667 = ((14*16)/(14+16))*(0.05^2).

FAQ

What is Moment of Inertia using Masses of Diatomic Molecule and Bond Length?

The Moment of inertia using masses of diatomic molecule and bond length formula is basically derived from two relationships, first between moment of inertia and radii(distance from COM) and the second one is relation between bond length and these radii and is represented as I1 = ((m₁*m₂)/(m₁+m₂))*(L_bond^2) or Moment of Inertia of Diatomic Molecule = ((Mass 1*Mass 2)/(Mass 1+Mass 2))*(Bond Length^2). Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it, Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it & Bond Length in a diatomic molecule is the distance between center of two molecules(or two masses).

How to calculate Moment of Inertia using Masses of Diatomic Molecule and Bond Length?

The Moment of inertia using masses of diatomic molecule and bond length formula is basically derived from two relationships, first between moment of inertia and radii(distance from COM) and the second one is relation between bond length and these radii is calculated using Moment of Inertia of Diatomic Molecule = ((Mass 1*Mass 2)/(Mass 1+Mass 2))*(Bond Length^2). To calculate Moment of Inertia using Masses of Diatomic Molecule and Bond Length, you need Mass 1 (m₁), Mass 2 (m₂) & Bond Length (L_bond). With our tool, you need to enter the respective value for Mass 1, Mass 2 & 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 Mass 1, Mass 2 & 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 = Reduced Mass*(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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