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Angular Velocity given Angular Momentum and Inertia Formula

GoAngular Velocity given Inertia and Kinetic Energy Formula

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Angular Velocity given Momentum and Inertia refers to how fast an object rotates or revolves relative to another point. Check FAQs

ω2 = \frac{L}{I}

ω2 - Angular Velocity given Momentum and Inertia?L - Angular Momentum?I - Moment of Inertia?

Angular Velocity given Angular Momentum and Inertia Example

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Here is how the Angular Velocity given Angular Momentum and Inertia equation looks like with Values.

Here is how the Angular Velocity given Angular Momentum and Inertia equation looks like with Units.

Here is how the Angular Velocity given Angular Momentum and Inertia equation looks like.

12.4444 = \frac{14}{1.125}

12.4444rad/s = \frac{14kg*m²/s}{1.125kg·m²}

12.4444 = \frac{14}{1.125}

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Angular Velocity given Angular Momentum and Inertia Solution

Follow our step by step solution on how to calculate Angular Velocity given Angular Momentum and Inertia?

FIRST Step Consider the formula

ω2 = \frac{L}{I}

Next Step Substitute values of Variables

∴

ω2 = \frac{14kg*m²/s}{1.125kg·m²}

Next Step Prepare to Evaluate

∴

ω2 = \frac{14}{1.125}

Next Step Evaluate

∴

ω2 = 12.4444444444444rad/s

LAST Step Rounding Answer

∴

ω2 = 12.4444rad/s

Angular Velocity given Angular Momentum and Inertia Formula Elements

Variables

Angular Velocity given Momentum and Inertia

Angular Velocity given Momentum and Inertia refers to how fast an object rotates or revolves relative to another point.

Symbol: ω2

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity given Momentum and Inertia

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 Angular Velocity given Momentum and Inertia

Go Angular Velocity given Inertia and Kinetic Energy

ω2 = \sqrt{2 \cdot \frac{KE}{I}}

Other formulas in Angular Momentum and Velocity of Diatomic Molecule category

Go Angular Momentum given Kinetic Energy

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

Go Angular Momentum given Moment of Inertia

L1 = I \cdot ω

Go Angular Velocity of Diatomic Molecule

ω3 = 2 \cdot π \cdot ν rot

Go Angular Velocity given Kinetic Energy

ω3 = \sqrt{2 \cdot \frac{KE}{(m 1 \cdot ({R 1}^{2})) + (m 2 \cdot ({R 2}^{2}))}}

How to Evaluate Angular Velocity given Angular Momentum and Inertia?

Angular Velocity given Angular Momentum and Inertia evaluator uses Angular Velocity given Momentum and Inertia = Angular Momentum/Moment of Inertia to evaluate the Angular Velocity given Momentum and Inertia, The Angular Velocity given Angular Momentum and Inertia formula is just a rearrangement of angular momentum formula( L=Iω). Angular momentum is expressed as product of inertia and angular velocity. Angular Velocity given Momentum and Inertia is denoted by ω2 symbol.

How to evaluate Angular Velocity given Angular Momentum and Inertia using this online evaluator? To use this online evaluator for Angular Velocity given Angular Momentum and Inertia, enter Angular Momentum (L) & Moment of Inertia (I) and hit the calculate button.

FAQs on Angular Velocity given Angular Momentum and Inertia

What is the formula to find Angular Velocity given Angular Momentum and Inertia?

The formula of Angular Velocity given Angular Momentum and Inertia is expressed as Angular Velocity given Momentum and Inertia = Angular Momentum/Moment of Inertia. Here is an example- 12.44444 = 14/1.125.

How to calculate Angular Velocity given Angular Momentum and Inertia?

With Angular Momentum (L) & Moment of Inertia (I) we can find Angular Velocity given Angular Momentum and Inertia using the formula - Angular Velocity given Momentum and Inertia = Angular Momentum/Moment of Inertia.

What are the other ways to Calculate Angular Velocity given Momentum and Inertia?

Here are the different ways to Calculate Angular Velocity given Momentum and Inertia-

Angular Velocity given Momentum and Inertia=sqrt(2*Kinetic Energy/Moment of Inertia)

Can the Angular Velocity given Angular Momentum and Inertia be negative?

Yes, the Angular Velocity given Angular Momentum and Inertia, measured in Angular Velocity can be negative.

Which unit is used to measure Angular Velocity given Angular Momentum and Inertia?

Angular Velocity given Angular Momentum and Inertia is usually measured using the Radian per Second[rad/s] for Angular Velocity. Radian per Day[rad/s], Radian per Hour[rad/s], Radian per Minute[rad/s] are the few other units in which Angular Velocity given Angular Momentum and Inertia can be measured.

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