Moment of Inertia using Angular Momentum Calculator

✖Angular Momentum is the degree to which a body rotates, gives its angular momentum.ⓘ Angular Momentum [L]			+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 using Angular Momentum is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia using Angular Momentum [I2]

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Formula

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Moment of Inertia using Angular Momentum

Formula

`"I2" = "L"/"ω"`

Example

`"0.7kg·m²"="14kg*m²/s"/"20rad/s"`

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Moment of Inertia using Angular Momentum Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia using Angular Momentum = Angular Momentum/Angular Velocity Spectroscopy
I2 = L/ω
This formula uses 3 Variables

Variables Used

Moment of Inertia using Angular Momentum - (Measured in Kilogram Square Meter) - Moment of Inertia using Angular Momentum 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.
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

Angular Momentum: 14 Kilogram Square Meter per Second --> 14 Kilogram Square Meter per Second 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

I2 = L/ω --> 14/20

Evaluating ... ...

I2 = 0.7

STEP 3: Convert Result to Output's Unit

0.7 Kilogram Square Meter --> No Conversion Required

FINAL ANSWER

0.7 Kilogram Square Meter <-- Moment of Inertia using Angular Momentum

(Calculation completed in 00.004 seconds)

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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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< 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 Angular Momentum Formula

Moment of Inertia using Angular Momentum = Angular Momentum/Angular Velocity Spectroscopy
I2 = L/ω

How to get Moment of inertia using angular momentum?

Angular momentum is directly proportional to the orbital angular velocity vector ω of the particle, where the constant of proportionality is moment of inertia (which depends on both the mass of the particle and its distance from COM), i.e. L=Iω. So we can get moment of inertia as angular momentum divided by angular velocity.

How to Calculate Moment of Inertia using Angular Momentum?

Moment of Inertia using Angular Momentum calculator uses Moment of Inertia using Angular Momentum = Angular Momentum/Angular Velocity Spectroscopy to calculate the Moment of Inertia using Angular Momentum, The Moment of inertia using angular momentum formula is just a rearrangement of angular momentum formula. Angular momentum is expressed as product of inertia and angular velocity. Moment of Inertia using Angular Momentum is denoted by I2 symbol.

How to calculate Moment of Inertia using Angular Momentum using this online calculator? To use this online calculator for Moment of Inertia using Angular Momentum, enter Angular Momentum (L) & Angular Velocity Spectroscopy (ω) and hit the calculate button. Here is how the Moment of Inertia using Angular Momentum calculation can be explained with given input values -> 0.7 = 14/20.

FAQ

What is Moment of Inertia using Angular Momentum?

The Moment of inertia using angular momentum formula is just a rearrangement of angular momentum formula. Angular momentum is expressed as product of inertia and angular velocity and is represented as I2 = L/ω or Moment of Inertia using Angular Momentum = Angular Momentum/Angular Velocity Spectroscopy. Angular Momentum is the degree to which a body rotates, gives its angular momentum & 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 Angular Momentum?

The Moment of inertia using angular momentum formula is just a rearrangement of angular momentum formula. Angular momentum is expressed as product of inertia and angular velocity is calculated using Moment of Inertia using Angular Momentum = Angular Momentum/Angular Velocity Spectroscopy. To calculate Moment of Inertia using Angular Momentum, you need Angular Momentum (L) & Angular Velocity Spectroscopy (ω). With our tool, you need to enter the respective value for Angular Momentum & Angular Velocity Spectroscopy and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Moment of Inertia using Angular Momentum?

In this formula, Moment of Inertia using Angular Momentum uses Angular Momentum & Angular Velocity Spectroscopy. We can use 2 other way(s) to calculate the same, which is/are as follows -

Moment of Inertia using Angular Momentum = 2*Kinetic Energy/(Angular Velocity Spectroscopy^2)
Moment of Inertia using Angular Momentum = 2*Kinetic Energy/(Angular Velocity Spectroscopy^2)

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