Kinetic Energy given Angular Momentum 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%

✖Kinetic Energy given Angular Momentum as the work needed to accelerate a body of a given mass from rest to its stated velocity.ⓘ Kinetic Energy given Angular Momentum [KE1]

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Formula

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Kinetic Energy given Angular Momentum

Formula

`"KE1" = ("L"/2)/(2*"I")`

Example

`"3.111111J"=("14kg*m²/s"/2)/(2*"1.125kg·m²")`

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Kinetic Energy given Angular Momentum Solution

STEP 0: Pre-Calculation Summary

Formula Used

Kinetic Energy given Angular Momentum = (Angular Momentum/2)/(2*Moment of Inertia)
KE1 = (L/2)/(2*I)
This formula uses 3 Variables

Variables Used

Kinetic Energy given Angular Momentum - (Measured in Joule) - Kinetic Energy given Angular Momentum as the work needed to accelerate a body of a given mass from rest to its stated velocity.
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

KE1 = (L/2)/(2*I) --> (14/2)/(2*1.125)

Evaluating ... ...

KE1 = 3.11111111111111

STEP 3: Convert Result to Output's Unit

3.11111111111111 Joule --> No Conversion Required

FINAL ANSWER

3.11111111111111 ≈ 3.111111 Joule <-- Kinetic Energy given 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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< 8 Kinetic Energy for System Calculators

Kinetic Energy given Angular Velocity

Go Kinetic Energy given Angular Momentum = ((Mass 1*(Radius of Mass 1^2))+(Mass 2*(Radius of Mass 2^2)))*(Angular Velocity Spectroscopy^2)/2

Velocity of Particle 1 given Kinetic Energy

Go Velocity of Particle with Mass m1 = sqrt(((2*Kinetic Energy)-(Mass 2*Velocity of Particle with Mass m2^2))/Mass 1)

Velocity of Particle 2 given Kinetic Energy

Go Velocity of Particle with Mass m2 = sqrt(((2*Kinetic Energy)-(Mass 1*Velocity of Particle with Mass m1^2))/Mass 2)

Kinetic Energy of System

Go Kinetic Energy = ((Mass 1*(Velocity of Particle with Mass m1^2))+(Mass 2*(Velocity of Particle with Mass m2^2)))/2

Velocity of Particle 2

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

Kinetic Energy given Inertia and Angular Velocity

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

Velocity of Particle 1

Go Velocity of Particle 1 = 2*pi*Radius of Mass 1*Rotational Frequency

Kinetic Energy given Angular Momentum

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

< 8 Kinetic Energy of System Calculators

Kinetic Energy given Angular Velocity

Go Kinetic Energy given Angular Momentum = ((Mass 1*(Radius of Mass 1^2))+(Mass 2*(Radius of Mass 2^2)))*(Angular Velocity Spectroscopy^2)/2

Velocity of Particle 1 given Kinetic Energy

Go Velocity of Particle with Mass m1 = sqrt(((2*Kinetic Energy)-(Mass 2*Velocity of Particle with Mass m2^2))/Mass 1)

Velocity of Particle 2 given Kinetic Energy

Go Velocity of Particle with Mass m2 = sqrt(((2*Kinetic Energy)-(Mass 1*Velocity of Particle with Mass m1^2))/Mass 2)

Kinetic Energy of System

Go Kinetic Energy = ((Mass 1*(Velocity of Particle with Mass m1^2))+(Mass 2*(Velocity of Particle with Mass m2^2)))/2

Velocity of Particle 2

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

Kinetic Energy given Inertia and Angular Velocity

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

Velocity of Particle 1

Go Velocity of Particle 1 = 2*pi*Radius of Mass 1*Rotational Frequency

Kinetic Energy given Angular Momentum

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

Kinetic Energy given Angular Momentum Formula

Kinetic Energy given Angular Momentum = (Angular Momentum/2)/(2*Moment of Inertia)
KE1 = (L/2)/(2*I)

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

How to Calculate Kinetic Energy given Angular Momentum?

Kinetic Energy given Angular Momentum calculator uses Kinetic Energy given Angular Momentum = (Angular Momentum/2)/(2*Moment of Inertia) to calculate the Kinetic Energy given Angular Momentum, The Kinetic Energy given Angular Momentum formula is defined as energy stored in system due to its rotational kinetic energy. This energy is related to angular velocity and thus relate to angular momentum. Kinetic Energy given Angular Momentum is denoted by KE1 symbol.

How to calculate Kinetic Energy given Angular Momentum using this online calculator? To use this online calculator for Kinetic Energy given Angular Momentum, enter Angular Momentum (L) & Moment of Inertia (I) and hit the calculate button. Here is how the Kinetic Energy given Angular Momentum calculation can be explained with given input values -> 3.111111 = (14/2)/(2*1.125).

FAQ

What is Kinetic Energy given Angular Momentum?

The Kinetic Energy given Angular Momentum formula is defined as energy stored in system due to its rotational kinetic energy. This energy is related to angular velocity and thus relate to angular momentum and is represented as KE1 = (L/2)/(2*I) or Kinetic Energy given Angular Momentum = (Angular Momentum/2)/(2*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 Kinetic Energy given Angular Momentum?

The Kinetic Energy given Angular Momentum formula is defined as energy stored in system due to its rotational kinetic energy. This energy is related to angular velocity and thus relate to angular momentum is calculated using Kinetic Energy given Angular Momentum = (Angular Momentum/2)/(2*Moment of Inertia). To calculate Kinetic Energy given Angular Momentum, 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 Kinetic Energy given Angular Momentum?

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

Kinetic Energy given Angular Momentum = ((Mass 1*(Radius of Mass 1^2))+(Mass 2*(Radius of Mass 2^2)))*(Angular Velocity Spectroscopy^2)/2
Kinetic Energy given Angular Momentum = ((Mass 1*(Radius of Mass 1^2))+(Mass 2*(Radius of Mass 2^2)))*(Angular Velocity Spectroscopy^2)/2

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