Angular Velocity given Angular Momentum and Inertia Calculator

✖Angular Momentum is the degree to which a body rotates, gives its angular momentum.ⓘ Angular Momentum [L]			+10% -10%
✖Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia [I]			+10% -10%

✖Angular Velocity given Momentum and Inertia refers to how fast an object rotates or revolves relative to another point.ⓘ Angular Velocity given Angular Momentum and Inertia [ω2]

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Formula

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Angular Velocity given Angular Momentum and Inertia

Formula

`"ω2" = "L"/"I"`

Example

`"12.44444rad/s"="14kg*m²/s"/"1.125kg·m²"`

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Download Angular Momentum and Velocity of Diatomic Molecule Formulas PDF

Angular Velocity given Angular Momentum and Inertia Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Velocity given Momentum and Inertia = Angular Momentum/Moment of Inertia
ω2 = L/I
This formula uses 3 Variables

Variables Used

Angular Velocity given Momentum and Inertia - (Measured in Radian per Second) - Angular Velocity given Momentum and Inertia refers to how fast an object rotates or revolves relative to another point.
Angular Momentum - (Measured in Kilogram Square Meter per Second) - Angular Momentum is the degree to which a body rotates, gives its angular momentum.
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.

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
Moment of Inertia: 1.125 Kilogram Square Meter --> 1.125 Kilogram Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω2 = L/I --> 14/1.125

Evaluating ... ...

ω2 = 12.4444444444444

STEP 3: Convert Result to Output's Unit

12.4444444444444 Radian per Second --> No Conversion Required

FINAL ANSWER

12.4444444444444 ≈ 12.44444 Radian per Second <-- Angular Velocity given Momentum and Inertia

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Analytical chemistry » Molecular Spectroscopy » Rotational Spectroscopy » Angular Momentum and Velocity of Diatomic Molecule » Angular Velocity given Angular Momentum and Inertia

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Indian Institute of Technology (IIT), Delhi

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< 9 Angular Momentum and Velocity of Diatomic Molecule Calculators

Angular Velocity given Kinetic Energy

Go Angular Velocity of Diatomic Molecule = sqrt(2*Kinetic Energy/((Mass 1*(Radius of Mass 1^2))+(Mass 2*(Radius of Mass 2^2))))

Angular Velocity given Inertia and Kinetic Energy

Go Angular Velocity given Momentum and Inertia = sqrt(2*Kinetic Energy/Moment of Inertia)

Rotational Frequency given Velocity of Particle 1

Go Rotational Frequency = Velocity of Particle with Mass m1/(2*pi*Radius of Mass 1)

Rotational Frequency given Velocity of Particle 2

Go Rotational Frequency = Velocity of Particle with Mass m2/(2*pi*Radius of Mass 2)

Angular Momentum given Moment of Inertia

Go Angular Momentum given Moment of Inertia = Moment of Inertia*Angular Velocity Spectroscopy

Angular Momentum given Kinetic Energy

Go Angular Momentum1 = sqrt(2*Moment of Inertia*Kinetic Energy)

Rotational Frequency given Angular Frequency

Go Rotational Frequency given Angular Frequency = Angular Velocity Spectroscopy/(2*pi)

Angular Velocity given Angular Momentum and Inertia

Go Angular Velocity given Momentum and Inertia = Angular Momentum/Moment of Inertia

Angular Velocity of Diatomic Molecule

Go Angular Velocity of Diatomic Molecule = 2*pi*Rotational Frequency

< 9 Angular momentum and velocity of diatomic molecule Calculators

Angular Velocity given Kinetic Energy

Go Angular Velocity of Diatomic Molecule = sqrt(2*Kinetic Energy/((Mass 1*(Radius of Mass 1^2))+(Mass 2*(Radius of Mass 2^2))))

Angular Velocity given Inertia and Kinetic Energy

Go Angular Velocity given Momentum and Inertia = sqrt(2*Kinetic Energy/Moment of Inertia)

Rotational Frequency given Velocity of Particle 1

Go Rotational Frequency = Velocity of Particle with Mass m1/(2*pi*Radius of Mass 1)

Rotational Frequency given Velocity of Particle 2

Go Rotational Frequency = Velocity of Particle with Mass m2/(2*pi*Radius of Mass 2)

Angular Momentum given Moment of Inertia

Go Angular Momentum given Moment of Inertia = Moment of Inertia*Angular Velocity Spectroscopy

Angular Momentum given Kinetic Energy

Go Angular Momentum1 = sqrt(2*Moment of Inertia*Kinetic Energy)

Rotational Frequency given Angular Frequency

Go Rotational Frequency given Angular Frequency = Angular Velocity Spectroscopy/(2*pi)

Angular Velocity given Angular Momentum and Inertia

Go Angular Velocity given Momentum and Inertia = Angular Momentum/Moment of Inertia

Angular Velocity of Diatomic Molecule

Go Angular Velocity of Diatomic Molecule = 2*pi*Rotational Frequency

Angular Velocity given Angular Momentum and Inertia Formula

Angular Velocity given Momentum and Inertia = Angular Momentum/Moment of Inertia
ω2 = L/I

How to get Angular velocity using angular momentum and inertia?

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 angular velocity as angular momentum divided by moment of inertia on rearranging the equation.

How to Calculate Angular Velocity given Angular Momentum and Inertia?

Angular Velocity given Angular Momentum and Inertia calculator uses Angular Velocity given Momentum and Inertia = Angular Momentum/Moment of Inertia to calculate the Angular Velocity given Momentum and Inertia, The Angular Velocity given Angular Momentum and Inertia formula is just a rearrangement of angular momentum formula( L=Iω). Angular momentum is expressed as product of inertia and angular velocity. Angular Velocity given Momentum and Inertia is denoted by ω2 symbol.

How to calculate Angular Velocity given Angular Momentum and Inertia using this online calculator? To use this online calculator for Angular Velocity given Angular Momentum and Inertia, enter Angular Momentum (L) & Moment of Inertia (I) and hit the calculate button. Here is how the Angular Velocity given Angular Momentum and Inertia calculation can be explained with given input values -> 12.44444 = 14/1.125.

FAQ

What is Angular Velocity given Angular Momentum and Inertia?

The Angular Velocity given Angular Momentum and Inertia formula is just a rearrangement of angular momentum formula( L=Iω). Angular momentum is expressed as product of inertia and angular velocity and is represented as ω2 = L/I or Angular Velocity given Momentum and Inertia = Angular Momentum/Moment of Inertia. Angular Momentum is the degree to which a body rotates, gives its angular momentum & Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

How to calculate Angular Velocity given Angular Momentum and Inertia?

The Angular Velocity given Angular Momentum and Inertia formula is just a rearrangement of angular momentum formula( L=Iω). Angular momentum is expressed as product of inertia and angular velocity is calculated using Angular Velocity given Momentum and Inertia = Angular Momentum/Moment of Inertia. To calculate Angular Velocity given Angular Momentum and Inertia, you need Angular Momentum (L) & Moment of Inertia (I). With our tool, you need to enter the respective value for Angular Momentum & Moment of Inertia 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 Angular Velocity given Momentum and Inertia?

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

Angular Velocity given Momentum and Inertia = sqrt(2*Kinetic Energy/Moment of Inertia)
Angular Velocity given Momentum and Inertia = sqrt(2*Kinetic Energy/Moment of Inertia)

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