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Angular Momentum given Kinetic Energy Formula

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Angular Momentum1 is the degree to which a body rotates, gives its angular momentum. Check FAQs

Lm1 = \sqrt{2 \cdot I \cdot KE}

Lm1 - Angular Momentum1?I - Moment of Inertia?KE - Kinetic Energy?

Angular Momentum given Kinetic Energy Example

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

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

9.4868 = \sqrt{2 \cdot 1.125 \cdot 40}

9.4868kg*m²/s = \sqrt{2 \cdot 1.125kg·m² \cdot 40J}

9.4868 = \sqrt{2 \cdot 1.125 \cdot 40}

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Angular Momentum given Kinetic Energy Solution

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

FIRST Step Consider the formula

Lm1 = \sqrt{2 \cdot I \cdot KE}

Next Step Substitute values of Variables

∴

Lm1 = \sqrt{2 \cdot 1.125kg·m² \cdot 40J}

Next Step Prepare to Evaluate

∴

Lm1 = \sqrt{2 \cdot 1.125 \cdot 40}

Next Step Evaluate

∴

Lm1 = 9.48683298050514kg*m²/s

LAST Step Rounding Answer

∴

Lm1 = 9.4868kg*m²/s

Angular Momentum given Kinetic Energy Formula Elements

Variables

Functions

Angular Momentum1

Angular Momentum1 is the degree to which a body rotates, gives its angular momentum.

Symbol: Lm1

Measurement: Angular MomentumUnit: kg*m²/s

Note: Value can be positive or negative.

Formulas to find Angular Momentum1

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

Kinetic Energy

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

Symbol: KE

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Kinetic Energy

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.

Syntax: sqrt(Number)

Other formulas in Angular Momentum and Velocity of Diatomic Molecule category

Go Angular Momentum given Moment of Inertia

L1 = I \cdot ω

Go Angular Velocity given Inertia and Kinetic Energy

ω2 = \sqrt{2 \cdot \frac{KE}{I}}

Go Angular Velocity of Diatomic Molecule

ω3 = 2 \cdot π \cdot ν rot

Go Angular Velocity given Angular Momentum and Inertia

ω2 = \frac{L}{I}

How to Evaluate Angular Momentum given Kinetic Energy?

Angular Momentum given Kinetic Energy evaluator uses Angular Momentum1 = sqrt(2*Moment of Inertia*Kinetic Energy) to evaluate 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 evaluate Angular Momentum given Kinetic Energy using this online evaluator? To use this online evaluator for Angular Momentum given Kinetic Energy, enter Moment of Inertia (I) & Kinetic Energy (KE) and hit the calculate button.

FAQs on Angular Momentum given Kinetic Energy

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

The formula of Angular Momentum given Kinetic Energy is expressed as Angular Momentum1 = sqrt(2*Moment of Inertia*Kinetic Energy). Here is an example- 9.486833 = sqrt(2*1.125*40).

How to calculate Angular Momentum given Kinetic Energy?

With Moment of Inertia (I) & Kinetic Energy (KE) we can find Angular Momentum given Kinetic Energy using the formula - Angular Momentum1 = sqrt(2*Moment of Inertia*Kinetic Energy). This formula also uses Square Root (sqrt) function(s).

Can the Angular Momentum given Kinetic Energy be negative?

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

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

Angular Momentum given Kinetic Energy is usually measured using the Kilogram Square Meter per Second[kg*m²/s] for Angular Momentum. are the few other units in which Angular Momentum given Kinetic Energy can be measured.

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