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Angular Velocity given Inertia and Kinetic Energy Formula

GoAngular Velocity given Angular Momentum and Inertia 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 = \sqrt{2 \cdot \frac{KE}{I}}

ω2 - Angular Velocity given Momentum and Inertia?KE - Kinetic Energy?I - Moment of Inertia?

Angular Velocity given Inertia and Kinetic Energy Example

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

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

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

8.4327 = \sqrt{2 \cdot \frac{40}{1.125}}

8.4327rad/s = \sqrt{2 \cdot \frac{40J}{1.125kg·m²}}

8.4327 = \sqrt{2 \cdot \frac{40}{1.125}}

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Angular Velocity given Inertia and Kinetic Energy Solution

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

FIRST Step Consider the formula

ω2 = \sqrt{2 \cdot \frac{KE}{I}}

Next Step Substitute values of Variables

∴

ω2 = \sqrt{2 \cdot \frac{40J}{1.125kg·m²}}

Next Step Prepare to Evaluate

∴

ω2 = \sqrt{2 \cdot \frac{40}{1.125}}

Next Step Evaluate

∴

ω2 = 8.43274042711568rad/s

LAST Step Rounding Answer

∴

ω2 = 8.4327rad/s

Angular Velocity given Inertia and Kinetic Energy Formula Elements

Variables

Functions

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

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

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

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 to find Angular Velocity given Momentum and Inertia

Go Angular Velocity given Angular Momentum and Inertia

ω2 = \frac{L}{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 Inertia and Kinetic Energy?

Angular Velocity given Inertia and Kinetic Energy evaluator uses Angular Velocity given Momentum and Inertia = sqrt(2*Kinetic Energy/Moment of Inertia) to evaluate the Angular Velocity given Momentum and Inertia, The Angular Velocity given Inertia and Kinetic Energy formula is a variation of K.E. formula. Kinetic energy of a rotating object can be expressed as half of the product of the angular velocity of the object and moment of inertia around the axis of rotation. So thus we get the relation between angular velocity, moment of inertia and K.E. Angular Velocity given Momentum and Inertia is denoted by ω2 symbol.

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

FAQs on Angular Velocity given Inertia and Kinetic Energy

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

The formula of Angular Velocity given Inertia and Kinetic Energy is expressed as Angular Velocity given Momentum and Inertia = sqrt(2*Kinetic Energy/Moment of Inertia). Here is an example- 8.43274 = sqrt(2*40/1.125).

How to calculate Angular Velocity given Inertia and Kinetic Energy?

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

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=Angular Momentum/Moment of Inertia

Can the Angular Velocity given Inertia and Kinetic Energy be negative?

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

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

Angular Velocity given Inertia and Kinetic Energy 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 Inertia and Kinetic Energy can be measured.

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