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Kinetic Energy given Inertia and Angular Velocity Formula

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

KE2 = I \cdot \frac{ω^{2}}{2}

KE2 - Kinetic Energy given Inertia and Angular Velocity?I - Moment of Inertia?ω - Angular Velocity Spectroscopy?

Kinetic Energy given Inertia and Angular Velocity Example

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

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

225 = 1.125 \cdot \frac{20^{2}}{2}

225J = 1.125kg·m² \cdot \frac{{20rad/s}^{2}}{2}

225 = 1.125 \cdot \frac{20^{2}}{2}

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Kinetic Energy given Inertia and Angular Velocity Solution

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

FIRST Step Consider the formula

KE2 = I \cdot \frac{ω^{2}}{2}

Next Step Substitute values of Variables

∴

KE2 = 1.125kg·m² \cdot \frac{{20rad/s}^{2}}{2}

Next Step Prepare to Evaluate

∴

KE2 = 1.125 \cdot \frac{20^{2}}{2}

LAST Step Evaluate

∴

KE2 = 225J

Kinetic Energy given Inertia and Angular Velocity Formula Elements

Variables

Kinetic Energy given Inertia and Angular Velocity

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

Symbol: KE2

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Kinetic Energy given Inertia and Angular Velocity

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

Angular Velocity Spectroscopy

Angular Velocity Spectroscopy refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity Spectroscopy

Other formulas in Kinetic Energy for System category

Go Kinetic Energy given Angular Momentum

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

Go Kinetic Energy of System

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

Go Kinetic Energy given Angular Velocity

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

Go Velocity of Particle 1

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

How to Evaluate Kinetic Energy given Inertia and Angular Velocity?

Kinetic Energy given Inertia and Angular Velocity evaluator uses Kinetic Energy given Inertia and Angular Velocity = Moment of Inertia*(Angular Velocity Spectroscopy^2)/2 to evaluate the Kinetic Energy given Inertia and Angular Velocity, The Kinetic Energy given Inertia and Angular Velocity formula is defined as the kinetic energy due to the rotation of an object and is part of its total kinetic energy. Rotational kinetic energy is directly proportional to the rotational inertia and the square of the magnitude of the angular velocity. 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. Kinetic Energy given Inertia and Angular Velocity is denoted by KE2 symbol.

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

FAQs on Kinetic Energy given Inertia and Angular Velocity

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

The formula of Kinetic Energy given Inertia and Angular Velocity is expressed as Kinetic Energy given Inertia and Angular Velocity = Moment of Inertia*(Angular Velocity Spectroscopy^2)/2. Here is an example- 225 = 1.125*(20^2)/2.

How to calculate Kinetic Energy given Inertia and Angular Velocity?

With Moment of Inertia (I) & Angular Velocity Spectroscopy (ω) we can find Kinetic Energy given Inertia and Angular Velocity using the formula - Kinetic Energy given Inertia and Angular Velocity = Moment of Inertia*(Angular Velocity Spectroscopy^2)/2.

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

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

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

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

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