Mass 2 given Moment of Inertia Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mass 2 given Moment of Inertia = (Moment of Inertia-(Mass 1*Radius of Mass 1^2))/Radius of Mass 2^2
mi2 = (I-(m1*R1^2))/R2^2
This formula uses 5 Variables
Variables Used
Mass 2 given Moment of Inertia - (Measured in Kilogram) - Mass 2 given Moment of Inertia 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 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.
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
Moment of Inertia: 1.125 Kilogram Square Meter --> 1.125 Kilogram Square Meter No Conversion Required
Mass 1: 14 Kilogram --> 14 Kilogram No Conversion Required
Radius of Mass 1: 1.5 Centimeter --> 0.015 Meter (Check conversion here)
Radius of Mass 2: 3 Centimeter --> 0.03 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
mi2 = (I-(m1*R1^2))/R2^2 --> (1.125-(14*0.015^2))/0.03^2
Evaluating ... ...
mi2 = 1246.5
STEP 3: Convert Result to Output's Unit
1246.5 Kilogram --> No Conversion Required
FINAL ANSWER
1246.5 Kilogram <-- Mass 2 given Moment of Inertia
(Calculation completed in 00.004 seconds)

Credits

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
Akshada Kulkarni has verified this Calculator and 900+ more calculators!

13 Reduced Mass and Radius of Diatomic Molecule Calculators

Radius 2 given Moment of Inertia
Go Radius 2 given Moment of Inertia = sqrt((Moment of Inertia-(Mass 1*Radius of Mass 1^2))/Mass 2)
Radius 1 given Moment of Inertia
Go Mass 2 of Diatomic Molecule = sqrt((Moment of Inertia-(Mass 2*Radius of Mass 2^2))/Mass 1)
Mass 2 given Moment of Inertia
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
Go Mass2 of object1 = (Moment of Inertia-(Mass 2*Radius of Mass 2^2))/Radius of Mass 1^2
Radius 1 given Rotational Frequency
Go Mass 2 of Diatomic Molecule = Velocity of Particle with Mass m1/(2*pi*Rotational Frequency)
Radius 1 of Rotation given Masses and Bond Length
Go Radius 1 of Rotation = Mass 2*Bond Length/(Mass 1+Mass 2)
Radius 2 of Rotation given Masses and Bond Length
Go Radius of Mass 2 = Mass 1*Bond Length/(Mass 1+Mass 2)
Radius 2 given Rotational Frequency
Go Radius of Mass 2 = Velocity of Particle with Mass m2/(2*pi*Rotational Frequency)
Reduced Mass
Go Reduced Mass = ((Mass 1*Mass 2)/(Mass 1+Mass 2))
Mass 1 of Diatomic Molecule
Go Mass 1 of Diatomic Molecule = Mass 2*Radius of Mass 2/Radius of Mass 1
Mass 2 of Diatomic Molecule
Go Mass 2 of Diatomic Molecule = Mass 1*Radius of Mass 1/Radius of Mass 2
Radius 2 of Rotation
Go Radius 1 given Rotational Frequency = Mass 1*Radius of Mass 1/Mass 2
Radius 1 of Rotation
Go Radius 1 of Rotation = Mass 2*Radius of Mass 2/Mass 1

13 Reduced Mass and Radius of Diatomic Molecule Calculators

Radius 2 given Moment of Inertia
Go Radius 2 given Moment of Inertia = sqrt((Moment of Inertia-(Mass 1*Radius of Mass 1^2))/Mass 2)
Radius 1 given Moment of Inertia
Go Mass 2 of Diatomic Molecule = sqrt((Moment of Inertia-(Mass 2*Radius of Mass 2^2))/Mass 1)
Mass 2 given Moment of Inertia
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
Go Mass2 of object1 = (Moment of Inertia-(Mass 2*Radius of Mass 2^2))/Radius of Mass 1^2
Radius 1 given Rotational Frequency
Go Mass 2 of Diatomic Molecule = Velocity of Particle with Mass m1/(2*pi*Rotational Frequency)
Radius 1 of Rotation given Masses and Bond Length
Go Radius 1 of Rotation = Mass 2*Bond Length/(Mass 1+Mass 2)
Radius 2 of Rotation given Masses and Bond Length
Go Radius of Mass 2 = Mass 1*Bond Length/(Mass 1+Mass 2)
Radius 2 given Rotational Frequency
Go Radius of Mass 2 = Velocity of Particle with Mass m2/(2*pi*Rotational Frequency)
Reduced Mass
Go Reduced Mass = ((Mass 1*Mass 2)/(Mass 1+Mass 2))
Mass 1 of Diatomic Molecule
Go Mass 1 of Diatomic Molecule = Mass 2*Radius of Mass 2/Radius of Mass 1
Mass 2 of Diatomic Molecule
Go Mass 2 of Diatomic Molecule = Mass 1*Radius of Mass 1/Radius of Mass 2
Radius 2 of Rotation
Go Radius 1 given Rotational Frequency = Mass 1*Radius of Mass 1/Mass 2
Radius 1 of Rotation
Go Radius 1 of Rotation = Mass 2*Radius of Mass 2/Mass 1

Mass 2 given Moment of Inertia Formula

Mass 2 given Moment of Inertia = (Moment of Inertia-(Mass 1*Radius of Mass 1^2))/Radius of Mass 2^2
mi2 = (I-(m1*R1^2))/R2^2

How do we get Mass 2 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 2, total moment of inertia is subtracted by moment of inertia of mass 1. And this moment of inertia of mass 2 is divided by square of radius 2, to obtain mass 2.

How to Calculate Mass 2 given Moment of Inertia?

Mass 2 given Moment of Inertia calculator uses Mass 2 given Moment of Inertia = (Moment of Inertia-(Mass 1*Radius of Mass 1^2))/Radius of Mass 2^2 to calculate the Mass 2 given Moment of Inertia, Mass 2 given moment of inertia is basically a method to get mass 2 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 2, total moment of inertia is reduced by moment of inertia of mass 1. And thus the formula for mass 2 is obtained. Mass 2 given Moment of Inertia is denoted by mi2 symbol.

How to calculate Mass 2 given Moment of Inertia using this online calculator? To use this online calculator for Mass 2 given Moment of Inertia, enter Moment of Inertia (I), Mass 1 (m1), Radius of Mass 1 (R1) & Radius of Mass 2 (R2) and hit the calculate button. Here is how the Mass 2 given Moment of Inertia calculation can be explained with given input values -> 1246.5 = (1.125-(14*0.015^2))/0.03^2.

FAQ

What is Mass 2 given Moment of Inertia?
Mass 2 given moment of inertia is basically a method to get mass 2 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 2, total moment of inertia is reduced by moment of inertia of mass 1. And thus the formula for mass 2 is obtained and is represented as mi2 = (I-(m1*R1^2))/R2^2 or Mass 2 given Moment of Inertia = (Moment of Inertia-(Mass 1*Radius of Mass 1^2))/Radius of Mass 2^2. Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis, 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 & Radius of Mass 2 is a distance of mass 2 from the center of mass.
How to calculate Mass 2 given Moment of Inertia?
Mass 2 given moment of inertia is basically a method to get mass 2 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 2, total moment of inertia is reduced by moment of inertia of mass 1. And thus the formula for mass 2 is obtained is calculated using Mass 2 given Moment of Inertia = (Moment of Inertia-(Mass 1*Radius of Mass 1^2))/Radius of Mass 2^2. To calculate Mass 2 given Moment of Inertia, you need Moment of Inertia (I), Mass 1 (m1), Radius of Mass 1 (R1) & Radius of Mass 2 (R2). With our tool, you need to enter the respective value for Moment of Inertia, Mass 1, Radius of Mass 1 & 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!