Reduced Mass using Moment of Inertia Calculator

✖Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia [I]			+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%

✖The Reduced Mass1 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 using Moment of Inertia [μ1]

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Reduced Mass using Moment of Inertia Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reduced Mass1 = Moment of Inertia/(Bond Length^2)
μ1 = I/(L_bond^2)
This formula uses 3 Variables

Variables Used

Reduced Mass1 - (Measured in Kilogram) - The Reduced Mass1 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.
Moment of Inertia - (Measured in Kilogram Square Meter) - Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.
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

Moment of Inertia: 1.125 Kilogram Square Meter --> 1.125 Kilogram Square Meter No Conversion Required
Bond Length: 5 Centimeter --> 0.05 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ1 = I/(L_bond^2) --> 1.125/(0.05^2)

Evaluating ... ...

μ1 = 450

STEP 3: Convert Result to Output's Unit

450 Kilogram --> No Conversion Required

FINAL ANSWER

450 Kilogram <-- Reduced Mass1

(Calculation completed in 00.007 seconds)

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Created by Nishant Sihag

Indian Institute of Technology (IIT), Delhi

Nishant Sihag has created this Calculator and 50+ more calculators!

Verified by Akshada Kulkarni

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)

Reduced Mass using Moment of Inertia Formula

LaTeX Go

Reduced Mass1 = Moment of Inertia/(Bond Length^2)
μ1 = I/(L_bond^2)

How to get Reduced mass using moment of inertia?

Reduces mass using Moment of inertia is similar to mass of one particle with it's moment of inertia. So, Moment of inertia is product of reduced mass and square of bond length. Numerically written as μ*(l^2). Thus we get reduced mass from this formula.

How to Calculate Reduced Mass using Moment of Inertia?

Reduced Mass using Moment of Inertia calculator uses Reduced Mass1 = Moment of Inertia/(Bond Length^2) to calculate the Reduced Mass1, The Reduced mass using moment of inertia formula is defined as the "effective" inertial mass appearing in the two-body problem of Newtonian mechanics. It is a quantity which allows the two-body problem to be solved as if it were a one-body problem. Reduced Mass1 is denoted by μ1 symbol.

How to calculate Reduced Mass using Moment of Inertia using this online calculator? To use this online calculator for Reduced Mass using Moment of Inertia, enter Moment of Inertia (I) & Bond Length (L_bond) and hit the calculate button. Here is how the Reduced Mass using Moment of Inertia calculation can be explained with given input values -> 450 = 1.125/(0.05^2).

FAQ

What is Reduced Mass using Moment of Inertia?

The Reduced mass using moment of inertia formula is defined as the "effective" inertial mass appearing in the two-body problem of Newtonian mechanics. It is a quantity which allows the two-body problem to be solved as if it were a one-body problem and is represented as μ1 = I/(L_bond^2) or Reduced Mass1 = Moment of Inertia/(Bond Length^2). Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis & Bond Length in a diatomic molecule is the distance between center of two molecules(or two masses).

How to calculate Reduced Mass using Moment of Inertia?

The Reduced mass using moment of inertia formula is defined as the "effective" inertial mass appearing in the two-body problem of Newtonian mechanics. It is a quantity which allows the two-body problem to be solved as if it were a one-body problem is calculated using Reduced Mass1 = Moment of Inertia/(Bond Length^2). To calculate Reduced Mass using Moment of Inertia, you need Moment of Inertia (I) & Bond Length (L_bond). With our tool, you need to enter the respective value for Moment of Inertia & Bond Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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