Moment of Inertia using Rotational Constant Solution

STEP 0: Pre-Calculation Summary
Formula Used
Moment of Inertia given RC = [hP]/(8*(pi^2)*[c]*Rotational Constant)
I3 = [hP]/(8*(pi^2)*[c]*B)
This formula uses 3 Constants, 2 Variables
Constants Used
[hP] - Planck constant Value Taken As 6.626070040E-34
[c] - Light speed in vacuum Value Taken As 299792458.0
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Moment of Inertia given RC - (Measured in Kilogram Square Meter) - Moment of Inertia given RC is the measure of the resistance of a body to angular acceleration about a given axis.
Rotational Constant - (Measured in 1 per Meter) - Rotational Constant is defined for relating in energy and Rotational energy levels in diatomic molecules.
STEP 1: Convert Input(s) to Base Unit
Rotational Constant: 60.8 1 per Meter --> 60.8 1 per Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
I3 = [hP]/(8*(pi^2)*[c]*B) --> [hP]/(8*(pi^2)*[c]*60.8)
Evaluating ... ...
I3 = 4.60407095037251E-46
STEP 3: Convert Result to Output's Unit
4.60407095037251E-46 Kilogram Square Meter --> No Conversion Required
FINAL ANSWER
4.60407095037251E-46 4.6E-46 Kilogram Square Meter <-- Moment of Inertia given RC
(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
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9 Moment of Inertia Calculators

Moment of Inertia using Masses of Diatomic Molecule and Bond Length
Go Moment of Inertia of Diatomic Molecule = ((Mass 1*Mass 2)/(Mass 1+Mass 2))*(Bond Length^2)
Moment of Inertia of Diatomic Molecule
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 Rotational Constant
Go Moment of Inertia given RC = [hP]/(8*(pi^2)*[c]*Rotational Constant)
Moment of Inertia using Kinetic Energy
Go Moment of Inertia using Angular Momentum = 2*Kinetic Energy/(Angular Velocity Spectroscopy^2)
Moment of Inertia using Angular Momentum
Go Moment of Inertia using Angular Momentum = Angular Momentum/Angular Velocity Spectroscopy
Moment of Inertia using Rotational Energy
Go Moment of Inertia given RE = (2*Rotational Energy)/(Angular Velocity Spectroscopy^2)
Moment of Inertia using Reduced Mass
Go Moment of Inertia of Diatomic Molecule = Reduced Mass*(Bond Length^2)
Moment of Inertia using Kinetic Energy and Angular Momentum
Go Moment of Inertia = (Angular Momentum^2)/(2*Kinetic Energy)
Reduced Mass using Moment of Inertia
Go Reduced Mass1 = Moment of Inertia/(Bond Length^2)

9 Moment of inertia Calculators

Moment of Inertia using Masses of Diatomic Molecule and Bond Length
Go Moment of Inertia of Diatomic Molecule = ((Mass 1*Mass 2)/(Mass 1+Mass 2))*(Bond Length^2)
Moment of Inertia of Diatomic Molecule
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 Rotational Constant
Go Moment of Inertia given RC = [hP]/(8*(pi^2)*[c]*Rotational Constant)
Moment of Inertia using Kinetic Energy
Go Moment of Inertia using Angular Momentum = 2*Kinetic Energy/(Angular Velocity Spectroscopy^2)
Moment of Inertia using Angular Momentum
Go Moment of Inertia using Angular Momentum = Angular Momentum/Angular Velocity Spectroscopy
Moment of Inertia using Rotational Energy
Go Moment of Inertia given RE = (2*Rotational Energy)/(Angular Velocity Spectroscopy^2)
Moment of Inertia using Reduced Mass
Go Moment of Inertia of Diatomic Molecule = Reduced Mass*(Bond Length^2)
Moment of Inertia using Kinetic Energy and Angular Momentum
Go Moment of Inertia = (Angular Momentum^2)/(2*Kinetic Energy)
Reduced Mass using Moment of Inertia
Go Reduced Mass1 = Moment of Inertia/(Bond Length^2)

Moment of Inertia using Rotational Constant Formula

Moment of Inertia given RC = [hP]/(8*(pi^2)*[c]*Rotational Constant)
I3 = [hP]/(8*(pi^2)*[c]*B)

How to get Moment of inertia using rotational constant?

Rotational constant is inversely proportional to moment of inertia. We have to divide square of reduced planks constant by twice of moment of inertia {(ℏ^2)/(2*I)}. So we get Moment of inertia by using this relation.

How to Calculate Moment of Inertia using Rotational Constant?

Moment of Inertia using Rotational Constant calculator uses Moment of Inertia given RC = [hP]/(8*(pi^2)*[c]*Rotational Constant) to calculate the Moment of Inertia given RC, The Moment of inertia using rotational constant formula is defined as the quantity expressed by the body resisting angular acceleration. And Rotational constant is defined for relating in energy and Rotational energy levels in diatomic molecules. It is inversely proportional to moment of inertia. Moment of Inertia given RC is denoted by I3 symbol.

How to calculate Moment of Inertia using Rotational Constant using this online calculator? To use this online calculator for Moment of Inertia using Rotational Constant, enter Rotational Constant (B) and hit the calculate button. Here is how the Moment of Inertia using Rotational Constant calculation can be explained with given input values -> 4.6E-46 = [hP]/(8*(pi^2)*[c]*60.8).

FAQ

What is Moment of Inertia using Rotational Constant?
The Moment of inertia using rotational constant formula is defined as the quantity expressed by the body resisting angular acceleration. And Rotational constant is defined for relating in energy and Rotational energy levels in diatomic molecules. It is inversely proportional to moment of inertia and is represented as I3 = [hP]/(8*(pi^2)*[c]*B) or Moment of Inertia given RC = [hP]/(8*(pi^2)*[c]*Rotational Constant). Rotational Constant is defined for relating in energy and Rotational energy levels in diatomic molecules.
How to calculate Moment of Inertia using Rotational Constant?
The Moment of inertia using rotational constant formula is defined as the quantity expressed by the body resisting angular acceleration. And Rotational constant is defined for relating in energy and Rotational energy levels in diatomic molecules. It is inversely proportional to moment of inertia is calculated using Moment of Inertia given RC = [hP]/(8*(pi^2)*[c]*Rotational Constant). To calculate Moment of Inertia using Rotational Constant, you need Rotational Constant (B). With our tool, you need to enter the respective value for Rotational Constant 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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