Angular Momentum given Moment of Inertia Calculator

✖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 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%

✖Angular Momentum given Moment of Inertia is the degree to which a body rotates, gives its angular momentum.ⓘ Angular Momentum given Moment of Inertia [L1]

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Formula

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Angular Momentum given Moment of Inertia

Formula

`"L1" = "I"*"ω"`

Example

`"22.5kg*m²/s"="1.125kg·m²"*"20rad/s"`

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Download Angular Momentum and Velocity of Diatomic Molecule Formulas PDF

Angular Momentum given Moment of Inertia Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Momentum given Moment of Inertia = Moment of Inertia*Angular Velocity Spectroscopy
L1 = I*ω
This formula uses 3 Variables

Variables Used

Angular Momentum given Moment of Inertia - (Measured in Kilogram Square Meter per Second) - Angular Momentum given Moment of Inertia 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.
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

Moment of Inertia: 1.125 Kilogram Square Meter --> 1.125 Kilogram Square Meter 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

L1 = I*ω --> 1.125*20

Evaluating ... ...

L1 = 22.5

STEP 3: Convert Result to Output's Unit

22.5 Kilogram Square Meter per Second --> No Conversion Required

FINAL ANSWER

22.5 Kilogram Square Meter per Second <-- Angular Momentum given Moment of Inertia

(Calculation completed in 00.004 seconds)

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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 Momentum given Moment of Inertia Formula

Angular Momentum given Moment of Inertia = Moment of Inertia*Angular Velocity Spectroscopy
L1 = I*ω

How to get Angular momentum using moment of 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).

How to Calculate Angular Momentum given Moment of Inertia?

Angular Momentum given Moment of Inertia calculator uses Angular Momentum given Moment of Inertia = Moment of Inertia*Angular Velocity Spectroscopy to calculate the Angular Momentum given Moment of Inertia, The Angular Momentum given Moment of Inertia formula is defined as the rotational equivalent of linear momentum. It is an important quantity in physics because it is a conserved quantity—the total angular momentum of a closed system remains constant. Angular Momentum given Moment of Inertia is denoted by L1 symbol.

How to calculate Angular Momentum given Moment of Inertia using this online calculator? To use this online calculator for Angular Momentum given Moment of Inertia, enter Moment of Inertia (I) & Angular Velocity Spectroscopy (ω) and hit the calculate button. Here is how the Angular Momentum given Moment of Inertia calculation can be explained with given input values -> 22.5 = 1.125*20.

FAQ

What is Angular Momentum given Moment of Inertia?

The Angular Momentum given Moment of Inertia formula is defined as the rotational equivalent of linear momentum. It is an important quantity in physics because it is a conserved quantity—the total angular momentum of a closed system remains constant and is represented as L1 = I*ω or Angular Momentum given Moment of Inertia = Moment of Inertia*Angular Velocity Spectroscopy. Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis & 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 Angular Momentum given Moment of Inertia?

The Angular Momentum given Moment of Inertia formula is defined as the rotational equivalent of linear momentum. It is an important quantity in physics because it is a conserved quantity—the total angular momentum of a closed system remains constant is calculated using Angular Momentum given Moment of Inertia = Moment of Inertia*Angular Velocity Spectroscopy. To calculate Angular Momentum given Moment of Inertia, you need Moment of Inertia (I) & Angular Velocity Spectroscopy (ω). With our tool, you need to enter the respective value for Moment of Inertia & Angular Velocity Spectroscopy 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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