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Angular Velocity given Kinetic Energy Formula

GoAngular Velocity of Diatomic Molecule Formula

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Angular Velocity of Diatomic Molecule refers to how fast an object rotates or revolves relative to another point. Check FAQs

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

ω3 - Angular Velocity of Diatomic Molecule?KE - Kinetic Energy?m₁ - Mass 1?R₁ - Radius of Mass 1?m₂ - Mass 2?R₂ - Radius of Mass 2?

Angular Velocity given Kinetic Energy Example

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

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

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

67.516 = \sqrt{2 \cdot \frac{40}{(14 \cdot ({1.5}^{2})) + (16 \cdot (3^{2}))}}

67.516rad/s = \sqrt{2 \cdot \frac{40J}{(14kg \cdot ({1.5cm}^{2})) + (16kg \cdot ({3cm}^{2}))}}

67.516 = \sqrt{2 \cdot \frac{40}{(14 \cdot ({1.5}^{2})) + (16 \cdot (3^{2}))}}

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Angular Velocity given Kinetic Energy Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ω3 = \sqrt{2 \cdot \frac{40J}{(14kg \cdot ({1.5cm}^{2})) + (16kg \cdot ({3cm}^{2}))}}

Next Step Convert Units

∴

ω3 = \sqrt{2 \cdot \frac{40J}{(14kg \cdot ({0.015m}^{2})) + (16kg \cdot ({0.03m}^{2}))}}

Next Step Prepare to Evaluate

∴

ω3 = \sqrt{2 \cdot \frac{40}{(14 \cdot ({0.015}^{2})) + (16 \cdot ({0.03}^{2}))}}

Next Step Evaluate

∴

ω3 = 67.5159578055778rad/s

LAST Step Rounding Answer

∴

ω3 = 67.516rad/s

Angular Velocity given Kinetic Energy Formula Elements

Variables

Functions

Angular Velocity of Diatomic Molecule

Angular Velocity of Diatomic Molecule refers to how fast an object rotates or revolves relative to another point.

Symbol: ω3

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity of Diatomic Molecule

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

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

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 of Diatomic Molecule

Go Angular Velocity of Diatomic Molecule

ω3 = 2 \cdot π \cdot ν rot

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 given Inertia and Kinetic Energy

ω2 = \sqrt{2 \cdot \frac{KE}{I}}

Go Angular Velocity given Angular Momentum and Inertia

ω2 = \frac{L}{I}

How to Evaluate Angular Velocity given Kinetic Energy?

Angular Velocity given Kinetic Energy evaluator uses Angular Velocity of Diatomic Molecule = sqrt(2*Kinetic Energy/((Mass 1*(Radius of Mass 1^2))+(Mass 2*(Radius of Mass 2^2)))) to evaluate the Angular Velocity of Diatomic Molecule, The Angular velocity given kinetic energy formula is a general kinetic energy equation with velocity of particles equal to their distance from Center of Mass times angular velocity of system(ω). The Kinetic energy of system, KE, is the sum of the kinetic energy for each mass which is numerically written as half*mass *square of velocity for a given object. Angular Velocity of Diatomic Molecule is denoted by ω3 symbol.

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

FAQs on Angular Velocity given Kinetic Energy

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

The formula of Angular Velocity given Kinetic Energy is expressed as Angular Velocity of Diatomic Molecule = sqrt(2*Kinetic Energy/((Mass 1*(Radius of Mass 1^2))+(Mass 2*(Radius of Mass 2^2)))). Here is an example- 67.51596 = sqrt(2*40/((14*(0.015^2))+(16*(0.03^2)))).

How to calculate Angular Velocity given Kinetic Energy?

With Kinetic Energy (KE), Mass 1 (m₁), Radius of Mass 1 (R₁), Mass 2 (m₂) & Radius of Mass 2 (R₂) we can find Angular Velocity given Kinetic Energy using the formula - Angular Velocity of Diatomic Molecule = sqrt(2*Kinetic Energy/((Mass 1*(Radius of Mass 1^2))+(Mass 2*(Radius of Mass 2^2)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Angular Velocity of Diatomic Molecule?

Here are the different ways to Calculate Angular Velocity of Diatomic Molecule-

Angular Velocity of Diatomic Molecule=2*pi*Rotational Frequency

Can the Angular Velocity given Kinetic Energy be negative?

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

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

Angular Velocity given 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 Kinetic Energy can be measured.

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Angular Velocity given Kinetic Energy Formula

​GoAngular Velocity of Diatomic Molecule Formula

Angular Velocity given Kinetic Energy Example

Angular Velocity given Kinetic Energy Solution

Angular Velocity given Kinetic Energy Formula Elements

Other Formulas to find Angular Velocity of Diatomic Molecule

Other formulas in Angular Momentum and Velocity of Diatomic Molecule category

How to Evaluate Angular Velocity given Kinetic Energy?

FAQs on Angular Velocity given Kinetic Energy

Variable Name

GoAngular Velocity of Diatomic Molecule Formula