Mass 1 given 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%
✖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%
✖Radius of mass 1 is a distance of mass 1 from the center of mass.ⓘ Radius of Mass 1 [R₁]			+10% -10%

✖Mass2 of object1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.ⓘ Mass 1 given Moment of Inertia [m_{_1}]

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Mass 1 given Moment of Inertia Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mass2 of object1 = (Moment of Inertia-(Mass 2*Radius of Mass 2^2))/Radius of Mass 1^2
m_{_1} = (I-(m₂*R₂^2))/R₁^2
This formula uses 5 Variables

Variables Used

Mass2 of object1 - (Measured in Kilogram) - Mass2 of object1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.
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.
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.
Radius of Mass 1 - (Measured in Meter) - Radius of mass 1 is a distance of mass 1 from the center of mass.

STEP 1: Convert Input(s) to Base Unit

Moment of Inertia: 1.125 Kilogram Square Meter --> 1.125 Kilogram Square Meter No Conversion Required
Mass 2: 16 Kilogram --> 16 Kilogram No Conversion Required
Radius of Mass 2: 3 Centimeter --> 0.03 Meter (Check conversion here)
Radius of Mass 1: 1.5 Centimeter --> 0.015 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m_{_1} = (I-(m₂*R₂^2))/R₁^2 --> (1.125-(16*0.03^2))/0.015^2

Evaluating ... ...

m_{_1} = 4936

STEP 3: Convert Result to Output's Unit

4936 Kilogram --> No Conversion Required

FINAL ANSWER

4936 Kilogram <-- Mass2 of object1

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Analytical chemistry » Molecular Spectroscopy » Rotational Spectroscopy » Reduced Mass and Radius of Diatomic Molecule » Mass 1 given Moment of Inertia

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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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< Reduced Mass and Radius of Diatomic Molecule Calculators

Mass 1 of Diatomic Molecule

LaTeX Go Mass 1 of Diatomic Molecule = Mass 2*Radius of Mass 2/Radius of Mass 1

Mass 2 of Diatomic Molecule

LaTeX Go Mass 2 of Diatomic Molecule = Mass 1*Radius of Mass 1/Radius of Mass 2

Radius 2 of Rotation

LaTeX Go Radius 1 given Rotational Frequency = Mass 1*Radius of Mass 1/Mass 2

Radius 1 of Rotation

LaTeX Go Radius 1 of Rotation = Mass 2*Radius of Mass 2/Mass 1

< Reduced Mass and Radius of Diatomic Molecule Calculators

Mass 2 given Moment of Inertia

LaTeX Go Mass 2 given Moment of Inertia = (Moment of Inertia-(Mass 1*Radius of Mass 1^2))/Radius of Mass 2^2

Mass 1 given Moment of Inertia

LaTeX Go Mass2 of object1 = (Moment of Inertia-(Mass 2*Radius of Mass 2^2))/Radius of Mass 1^2

Mass 1 of Diatomic Molecule

LaTeX Go Mass 1 of Diatomic Molecule = Mass 2*Radius of Mass 2/Radius of Mass 1

Mass 2 of Diatomic Molecule

LaTeX Go Mass 2 of Diatomic Molecule = Mass 1*Radius of Mass 1/Radius of Mass 2

Mass 1 given Moment of Inertia Formula

LaTeX Go

Mass2 of object1 = (Moment of Inertia-(Mass 2*Radius of Mass 2^2))/Radius of Mass 1^2
m_{_1} = (I-(m₂*R₂^2))/R₁^2

How do we get Mass 1 when moment of inertia is given ?

The total moment of inertia is the sum of the moments of inertia of the mass elements in the body. So for moment of inertia of mass 1, total moment of inertia is reduced by moment of inertia of mass 2. And this moment of inertia of mass 1 is divided by square of radius 1, to obtain mass 1.

How to Calculate Mass 1 given Moment of Inertia?

Mass 1 given Moment of Inertia calculator uses Mass2 of object1 = (Moment of Inertia-(Mass 2*Radius of Mass 2^2))/Radius of Mass 1^2 to calculate the Mass2 of object1, Mass 1 given moment of inertia is basically a method to get mass 1 from the formula of the moment of inertia. The total moment of inertia is the sum of the moments of inertia of the mass elements in the body. So for moment of inertia of mass 1, total moment of inertia is reduced by moment of inertia of mass 2. And thus the formula for mass 1 is obtained. Mass2 of object1 is denoted by m_{_1} symbol.

How to calculate Mass 1 given Moment of Inertia using this online calculator? To use this online calculator for Mass 1 given Moment of Inertia, enter Moment of Inertia (I), Mass 2 (m₂), Radius of Mass 2 (R₂) & Radius of Mass 1 (R₁) and hit the calculate button. Here is how the Mass 1 given Moment of Inertia calculation can be explained with given input values -> 4936 = (1.125-(16*0.03^2))/0.015^2.

FAQ

What is Mass 1 given Moment of Inertia?

Mass 1 given moment of inertia is basically a method to get mass 1 from the formula of the moment of inertia. The total moment of inertia is the sum of the moments of inertia of the mass elements in the body. So for moment of inertia of mass 1, total moment of inertia is reduced by moment of inertia of mass 2. And thus the formula for mass 1 is obtained and is represented as m_{_1} = (I-(m₂*R₂^2))/R₁^2 or Mass2 of object1 = (Moment of Inertia-(Mass 2*Radius of Mass 2^2))/Radius of Mass 1^2. Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis, 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 & Radius of mass 1 is a distance of mass 1 from the center of mass.

How to calculate Mass 1 given Moment of Inertia?

Mass 1 given moment of inertia is basically a method to get mass 1 from the formula of the moment of inertia. The total moment of inertia is the sum of the moments of inertia of the mass elements in the body. So for moment of inertia of mass 1, total moment of inertia is reduced by moment of inertia of mass 2. And thus the formula for mass 1 is obtained is calculated using Mass2 of object1 = (Moment of Inertia-(Mass 2*Radius of Mass 2^2))/Radius of Mass 1^2. To calculate Mass 1 given Moment of Inertia, you need Moment of Inertia (I), Mass 2 (m₂), Radius of Mass 2 (R₂) & Radius of Mass 1 (R₁). With our tool, you need to enter the respective value for Moment of Inertia, Mass 2, Radius of Mass 2 & Radius of Mass 1 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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