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Kinetic Energy given Angular Momentum Formula

GoKinetic Energy given Angular Velocity Formula

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Kinetic Energy given Angular Momentum as the work needed to accelerate a body of a given mass from rest to its stated velocity. Check FAQs

KE1 = \frac{\frac{L}{2}}{2 \cdot I}

KE1 - Kinetic Energy given Angular Momentum?L - Angular Momentum?I - Moment of Inertia?

Kinetic Energy given Angular Momentum Example

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Here is how the Kinetic Energy given Angular Momentum equation looks like with Units.

Here is how the Kinetic Energy given Angular Momentum equation looks like.

3.1111 = \frac{\frac{14}{2}}{2 \cdot 1.125}

3.1111J = \frac{\frac{14kg*m²/s}{2}}{2 \cdot 1.125kg·m²}

3.1111 = \frac{\frac{14}{2}}{2 \cdot 1.125}

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Kinetic Energy given Angular Momentum Solution

Follow our step by step solution on how to calculate Kinetic Energy given Angular Momentum?

FIRST Step Consider the formula

KE1 = \frac{\frac{L}{2}}{2 \cdot I}

Next Step Substitute values of Variables

∴

KE1 = \frac{\frac{14kg*m²/s}{2}}{2 \cdot 1.125kg·m²}

Next Step Prepare to Evaluate

∴

KE1 = \frac{\frac{14}{2}}{2 \cdot 1.125}

Next Step Evaluate

∴

KE1 = 3.11111111111111J

LAST Step Rounding Answer

∴

KE1 = 3.1111J

Kinetic Energy given Angular Momentum Formula Elements

Variables

Kinetic Energy given Angular Momentum

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

Symbol: KE1

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Kinetic Energy given Angular Momentum

Angular Momentum

Angular Momentum is the degree to which a body rotates, gives its angular momentum.

Symbol: L

Measurement: Angular MomentumUnit: kg*m²/s

Note: Value can be positive or negative.

Formulas to find Angular Momentum

Moment of Inertia

Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

Symbol: I

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Moment of Inertia

Other Formulas to find Kinetic Energy given Angular Momentum

Go Kinetic Energy given Angular Velocity

KE1 = ((m 1 \cdot ({R 1}^{2})) + (m 2 \cdot ({R 2}^{2}))) \cdot \frac{ω^{2}}{2}

Other formulas in Kinetic Energy for System category

Go Kinetic Energy given Inertia and Angular Velocity

KE2 = I \cdot \frac{ω^{2}}{2}

Go Kinetic Energy of System

KE = \frac{(m 1 \cdot ({v 1}^{2})) + (m 2 \cdot ({v 2}^{2}))}{2}

Go Velocity of Particle 1

v p1 = 2 \cdot π \cdot R 1 \cdot ν rot

Go Velocity of Particle 1 given Kinetic Energy

v 1 = \sqrt{\frac{(2 \cdot KE) - (m 2 \cdot {v 2}^{2})}{m 1}}

How to Evaluate Kinetic Energy given Angular Momentum?

Kinetic Energy given Angular Momentum evaluator uses Kinetic Energy given Angular Momentum = (Angular Momentum/2)/(2*Moment of Inertia) to evaluate 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 evaluate Kinetic Energy given Angular Momentum using this online evaluator? To use this online evaluator for Kinetic Energy given Angular Momentum, enter Angular Momentum (L) & Moment of Inertia (I) and hit the calculate button.

FAQs on Kinetic Energy given Angular Momentum

What is the formula to find Kinetic Energy given Angular Momentum?

The formula of Kinetic Energy given Angular Momentum is expressed as Kinetic Energy given Angular Momentum = (Angular Momentum/2)/(2*Moment of Inertia). Here is an example- 3.111111 = (14/2)/(2*1.125).

How to calculate Kinetic Energy given Angular Momentum?

With Angular Momentum (L) & Moment of Inertia (I) we can find Kinetic Energy given Angular Momentum using the formula - Kinetic Energy given Angular Momentum = (Angular Momentum/2)/(2*Moment of Inertia).

What are the other ways to Calculate Kinetic Energy given Angular Momentum?

Here are the different ways to Calculate Kinetic Energy given Angular Momentum-

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

Can the Kinetic Energy given Angular Momentum be negative?

Yes, the Kinetic Energy given Angular Momentum, measured in Energy can be negative.

Which unit is used to measure Kinetic Energy given Angular Momentum?

Kinetic Energy given Angular Momentum is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Kinetic Energy given Angular Momentum can be measured.

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