Moment of Inertia using Kinetic Energy and Angular Momentum Calculator

✖Angular Momentum is the degree to which a body rotates, gives its angular momentum.ⓘ Angular Momentum [L]			+10% -10%
✖Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.ⓘ Kinetic Energy [KE]			+10% -10%

✖Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia using Kinetic Energy and Angular Momentum [I]

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Formula

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Moment of Inertia using Kinetic Energy and Angular Momentum

Formula

`"I" = ("L"^2)/(2*"KE")`

Example

`"2.45kg·m²"=(("14kg*m²/s")^2)/(2*"40J")`

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Moment of Inertia using Kinetic Energy and Angular Momentum Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia = (Angular Momentum^2)/(2*Kinetic Energy)
I = (L^2)/(2*KE)
This formula uses 3 Variables

Variables Used

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.
Angular Momentum - (Measured in Kilogram Square Meter per Second) - Angular Momentum is the degree to which a body rotates, gives its angular momentum.
Kinetic Energy - (Measured in Joule) - Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.

STEP 1: Convert Input(s) to Base Unit

Angular Momentum: 14 Kilogram Square Meter per Second --> 14 Kilogram Square Meter per Second No Conversion Required
Kinetic Energy: 40 Joule --> 40 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = (L^2)/(2*KE) --> (14^2)/(2*40)

Evaluating ... ...

I = 2.45

STEP 3: Convert Result to Output's Unit

2.45 Kilogram Square Meter --> No Conversion Required

FINAL ANSWER

2.45 Kilogram Square Meter <-- Moment of Inertia

(Calculation completed in 00.014 seconds)

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Created by Nishant Sihag

Indian Institute of Technology (IIT), Delhi

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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 Kinetic Energy and Angular Momentum Formula

Moment of Inertia = (Angular Momentum^2)/(2*Kinetic Energy)
I = (L^2)/(2*KE)

How to get Moment of inertia using kinetic energy and angular momentum?

We know that rotational kinetic energy is half moment of inertia times square of angular velocity. And further angular momentum is defined by: L=Iω. Through simple algebra we get a relation of moment of inertia in terms of angular momentum and kinetic energy{I=(L^2)/(2*KE)}.

How to Calculate Moment of Inertia using Kinetic Energy and Angular Momentum?

Moment of Inertia using Kinetic Energy and Angular Momentum calculator uses Moment of Inertia = (Angular Momentum^2)/(2*Kinetic Energy) to calculate the Moment of Inertia, The Moment of inertia using kinetic energy and angular momentum formula is defined as the quantity expressed by the body resisting angular acceleration which is the sum of the product of the mass of every particle with its square of a distance from COM. And this relation can be related to kinetic energy and angular momentum. Moment of Inertia is denoted by I symbol.

How to calculate Moment of Inertia using Kinetic Energy and Angular Momentum using this online calculator? To use this online calculator for Moment of Inertia using Kinetic Energy and Angular Momentum, enter Angular Momentum (L) & Kinetic Energy (KE) and hit the calculate button. Here is how the Moment of Inertia using Kinetic Energy and Angular Momentum calculation can be explained with given input values -> 2.45 = (14^2)/(2*40).

FAQ

What is Moment of Inertia using Kinetic Energy and Angular Momentum?

The Moment of inertia using kinetic energy and angular momentum formula is defined as the quantity expressed by the body resisting angular acceleration which is the sum of the product of the mass of every particle with its square of a distance from COM. And this relation can be related to kinetic energy and angular momentum and is represented as I = (L^2)/(2*KE) or Moment of Inertia = (Angular Momentum^2)/(2*Kinetic Energy). Angular Momentum is the degree to which a body rotates, gives its angular momentum & Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.

How to calculate Moment of Inertia using Kinetic Energy and Angular Momentum?

The Moment of inertia using kinetic energy and angular momentum formula is defined as the quantity expressed by the body resisting angular acceleration which is the sum of the product of the mass of every particle with its square of a distance from COM. And this relation can be related to kinetic energy and angular momentum is calculated using Moment of Inertia = (Angular Momentum^2)/(2*Kinetic Energy). To calculate Moment of Inertia using Kinetic Energy and Angular Momentum, you need Angular Momentum (L) & Kinetic Energy (KE). With our tool, you need to enter the respective value for Angular Momentum & Kinetic Energy 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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