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Kinetic Energy given Angular Velocity Formula

GoKinetic Energy given Angular Momentum 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 = ((m 1 \cdot ({R 1}^{2})) + (m 2 \cdot ({R 2}^{2}))) \cdot \frac{ω^{2}}{2}

KE1 - Kinetic Energy given Angular Momentum?m₁ - Mass 1?R₁ - Radius of Mass 1?m₂ - Mass 2?R₂ - Radius of Mass 2?ω - Angular Velocity Spectroscopy?

Kinetic Energy given Angular Velocity Example

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

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

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

3.51 = ((14 \cdot ({1.5}^{2})) + (16 \cdot (3^{2}))) \cdot \frac{20^{2}}{2}

3.51J = ((14kg \cdot ({1.5cm}^{2})) + (16kg \cdot ({3cm}^{2}))) \cdot \frac{{20rad/s}^{2}}{2}

3.51 = ((14 \cdot ({1.5}^{2})) + (16 \cdot (3^{2}))) \cdot \frac{20^{2}}{2}

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Kinetic Energy given Angular Velocity Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

KE1 = ((14kg \cdot ({1.5cm}^{2})) + (16kg \cdot ({3cm}^{2}))) \cdot \frac{{20rad/s}^{2}}{2}

Next Step Convert Units

∴

KE1 = ((14kg \cdot ({0.015m}^{2})) + (16kg \cdot ({0.03m}^{2}))) \cdot \frac{{20rad/s}^{2}}{2}

Next Step Prepare to Evaluate

∴

KE1 = ((14 \cdot ({0.015}^{2})) + (16 \cdot ({0.03}^{2}))) \cdot \frac{20^{2}}{2}

LAST Step Evaluate

∴

KE1 = 3.51J

Kinetic Energy given Angular Velocity 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

Mass 1

Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.

Symbol: m₁

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass 1

Radius of Mass 1

Radius of mass 1 is a distance of mass 1 from the center of mass.

Symbol: R₁

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Radius of Mass 1

Mass 2

Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it.

Symbol: m₂

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass 2

Radius of Mass 2

Radius of Mass 2 is a distance of mass 2 from the center of mass.

Symbol: R₂

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Radius of Mass 2

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 to find Kinetic Energy given Angular Momentum

Go Kinetic Energy given Angular Momentum

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

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 Velocity?

Kinetic Energy given Angular Velocity evaluator uses Kinetic Energy given Angular Momentum = ((Mass 1*(Radius of Mass 1^2))+(Mass 2*(Radius of Mass 2^2)))*(Angular Velocity Spectroscopy^2)/2 to evaluate the Kinetic Energy given Angular Momentum, The Kinetic energy given angular velocity formula is defined as the sum of the kinetic energy for each mass. Linear velocity(v) is radius(r) times angular velocity (ω). So kinetic energy formula can be modified by substituting v by r*ω. Thus we obtain total kinetic energy in terms of angular velocity(ω). Kinetic Energy given Angular Momentum is denoted by KE1 symbol.

How to evaluate Kinetic Energy given Angular Velocity using this online evaluator? To use this online evaluator for Kinetic Energy given Angular Velocity, enter Mass 1 (m₁), Radius of Mass 1 (R₁), Mass 2 (m₂), Radius of Mass 2 (R₂) & Angular Velocity Spectroscopy (ω) and hit the calculate button.

FAQs on Kinetic Energy given Angular Velocity

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

The formula of Kinetic Energy given Angular Velocity is expressed as Kinetic Energy given Angular Momentum = ((Mass 1*(Radius of Mass 1^2))+(Mass 2*(Radius of Mass 2^2)))*(Angular Velocity Spectroscopy^2)/2. Here is an example- 3.51 = ((14*(0.015^2))+(16*(0.03^2)))*(20^2)/2.

How to calculate Kinetic Energy given Angular Velocity?

With Mass 1 (m₁), Radius of Mass 1 (R₁), Mass 2 (m₂), Radius of Mass 2 (R₂) & Angular Velocity Spectroscopy (ω) we can find Kinetic Energy given Angular Velocity using the formula - Kinetic Energy given Angular Momentum = ((Mass 1*(Radius of Mass 1^2))+(Mass 2*(Radius of Mass 2^2)))*(Angular Velocity Spectroscopy^2)/2.

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=(Angular Momentum/2)/(2*Moment of Inertia)

Can the Kinetic Energy given Angular Velocity be negative?

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

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

Kinetic Energy given 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 Angular Velocity can be measured.

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Kinetic Energy given Angular Velocity Formula

​GoKinetic Energy given Angular Momentum Formula

Kinetic Energy given Angular Velocity Example

Kinetic Energy given Angular Velocity Solution

Kinetic Energy given Angular Velocity Formula Elements

Other Formulas to find Kinetic Energy given Angular Momentum

Other formulas in Kinetic Energy for System category

How to Evaluate Kinetic Energy given Angular Velocity?

FAQs on Kinetic Energy given Angular Velocity

Variable Name

GoKinetic Energy given Angular Momentum Formula