Angular Momentum given Kinetic Energy 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%
✖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%

✖Angular Momentum1 is the degree to which a body rotates, gives its angular momentum.ⓘ Angular Momentum given Kinetic Energy [Lm1]

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Formula

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Angular Momentum given Kinetic Energy

Formula

`"Lm1" = sqrt(2*"I"*"KE")`

Example

`"9.486833kg*m²/s"=sqrt(2*"1.125kg·m²"*"40J")`

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Download Angular Momentum and Velocity of Diatomic Molecule Formulas PDF

Angular Momentum given Kinetic Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Momentum1 = sqrt(2*Moment of Inertia*Kinetic Energy)
Lm1 = sqrt(2*I*KE)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Angular Momentum1 - (Measured in Kilogram Square Meter per Second) - Angular Momentum1 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.
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

Moment of Inertia: 1.125 Kilogram Square Meter --> 1.125 Kilogram Square Meter No Conversion Required
Kinetic Energy: 40 Joule --> 40 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Lm1 = sqrt(2*I*KE) --> sqrt(2*1.125*40)

Evaluating ... ...

Lm1 = 9.48683298050514

STEP 3: Convert Result to Output's Unit

9.48683298050514 Kilogram Square Meter per Second --> No Conversion Required

FINAL ANSWER

9.48683298050514 ≈ 9.486833 Kilogram Square Meter per Second <-- Angular Momentum1

(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 Momentum given Kinetic Energy

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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 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 Kinetic Energy Formula

Angular Momentum1 = sqrt(2*Moment of Inertia*Kinetic Energy)
Lm1 = sqrt(2*I*KE)

How to get Angular momentum in terms of kinetic energy?

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 angular momentum in terms of Kinetic energy{(L^2)=2*I*KE} .

How to Calculate Angular Momentum given Kinetic Energy?

Angular Momentum given Kinetic Energy calculator uses Angular Momentum1 = sqrt(2*Moment of Inertia*Kinetic Energy) to calculate the Angular Momentum1, The Angular Momentum given Kinetic Energy formula is derived from rotational kinetic energy. Angular momentum is the rotational equivalent of linear momentum. Relation of angular momentum in terms of Kinetic energy{(L^2)=2*I*KE}. Angular Momentum1 is denoted by Lm1 symbol.

How to calculate Angular Momentum given Kinetic Energy using this online calculator? To use this online calculator for Angular Momentum given Kinetic Energy, enter Moment of Inertia (I) & Kinetic Energy (KE) and hit the calculate button. Here is how the Angular Momentum given Kinetic Energy calculation can be explained with given input values -> 9.486833 = sqrt(2*1.125*40).

FAQ

What is Angular Momentum given Kinetic Energy?

The Angular Momentum given Kinetic Energy formula is derived from rotational kinetic energy. Angular momentum is the rotational equivalent of linear momentum. Relation of angular momentum in terms of Kinetic energy{(L^2)=2*I*KE} and is represented as Lm1 = sqrt(2*I*KE) or Angular Momentum1 = sqrt(2*Moment of Inertia*Kinetic Energy). Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis & 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 Angular Momentum given Kinetic Energy?

The Angular Momentum given Kinetic Energy formula is derived from rotational kinetic energy. Angular momentum is the rotational equivalent of linear momentum. Relation of angular momentum in terms of Kinetic energy{(L^2)=2*I*KE} is calculated using Angular Momentum1 = sqrt(2*Moment of Inertia*Kinetic Energy). To calculate Angular Momentum given Kinetic Energy, you need Moment of Inertia (I) & Kinetic Energy (KE). With our tool, you need to enter the respective value for Moment of Inertia & 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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