Moment of Inertia using Rotational Energy Calculator

✖Rotational Energy is energy of the rotational levels in the Rotational Spectroscopy of Diatomic Molecules.ⓘ Rotational Energy [E_rot]			+10% -10%
✖Angular Velocity Spectroscopy refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.ⓘ Angular Velocity Spectroscopy [ω]			+10% -10%

✖Moment of Inertia given RE is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia using Rotational Energy [I4]

⎘ Copy

👎

Formula

✖

Moment of Inertia using Rotational Energy

Formula

`"I4" = (2*"E"_{"rot"})/("ω"^2)`

Example

`"0.75kg·m²"=(2*"150J")/(("20rad/s")^2)`

Calculator

LaTeX

Reset

👍

Download Rotational Spectroscopy Formula PDF PDF Image

Moment of Inertia using Rotational Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia given RE = (2*Rotational Energy)/(Angular Velocity Spectroscopy^2)
I4 = (2*E_rot)/(ω^2)
This formula uses 3 Variables

Variables Used

Moment of Inertia given RE - (Measured in Kilogram Square Meter) - Moment of Inertia given RE is the measure of the resistance of a body to angular acceleration about a given axis.
Rotational Energy - (Measured in Joule) - Rotational Energy is energy of the rotational levels in the Rotational Spectroscopy of Diatomic Molecules.
Angular Velocity Spectroscopy - (Measured in Radian per Second) - Angular Velocity Spectroscopy refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.

STEP 1: Convert Input(s) to Base Unit

Rotational Energy: 150 Joule --> 150 Joule No Conversion Required
Angular Velocity Spectroscopy: 20 Radian per Second --> 20 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I4 = (2*E_rot)/(ω^2) --> (2*150)/(20^2)

Evaluating ... ...

I4 = 0.75

STEP 3: Convert Result to Output's Unit

0.75 Kilogram Square Meter --> No Conversion Required

FINAL ANSWER

0.75 Kilogram Square Meter <-- Moment of Inertia given RE

(Calculation completed in 00.004 seconds)

You are here -

Home » Chemistry » Analytical chemistry » Molecular Spectroscopy » Rotational Spectroscopy » Moment of Inertia » Moment of Inertia using Rotational Energy

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!

< 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 Energy Formula

Moment of Inertia given RE = (2*Rotational Energy)/(Angular Velocity Spectroscopy^2)
I4 = (2*E_rot)/(ω^2)

What is Rotational energy?

The rotational spectrum of a diatomic molecule consists of a series of equally spaced absorption lines, typically in the microwave region of the electromagnetic spectrum. The energy of these lines is called rotational energy.

How to Calculate Moment of Inertia using Rotational Energy?

Moment of Inertia using Rotational Energy calculator uses Moment of Inertia given RE = (2*Rotational Energy)/(Angular Velocity Spectroscopy^2) to calculate the Moment of Inertia given RE, The Moment of inertia using rotational energy 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. Beta have relation with energy levels. Moment of Inertia given RE is denoted by I4 symbol.

How to calculate Moment of Inertia using Rotational Energy using this online calculator? To use this online calculator for Moment of Inertia using Rotational Energy, enter Rotational Energy (E_rot) & Angular Velocity Spectroscopy (ω) and hit the calculate button. Here is how the Moment of Inertia using Rotational Energy calculation can be explained with given input values -> 0.75 = (2*150)/(20^2).

FAQ

What is Moment of Inertia using Rotational Energy?

The Moment of inertia using rotational energy 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. Beta have relation with energy levels and is represented as I4 = (2*E_rot)/(ω^2) or Moment of Inertia given RE = (2*Rotational Energy)/(Angular Velocity Spectroscopy^2). Rotational Energy is energy of the rotational levels in the Rotational Spectroscopy of Diatomic Molecules & Angular Velocity Spectroscopy refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.

How to calculate Moment of Inertia using Rotational Energy?

The Moment of inertia using rotational energy 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. Beta have relation with energy levels is calculated using Moment of Inertia given RE = (2*Rotational Energy)/(Angular Velocity Spectroscopy^2). To calculate Moment of Inertia using Rotational Energy, you need Rotational Energy (E_rot) & Angular Velocity Spectroscopy (ω). With our tool, you need to enter the respective value for Rotational Energy & Angular Velocity Spectroscopy and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search