Angular Velocity given Kinetic Energy Calculator

✖Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.ⓘ Kinetic Energy [KE]			+10% -10%
✖Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.ⓘ Mass 1 [m₁]			+10% -10%
✖Radius of mass 1 is a distance of mass 1 from the center of mass.ⓘ Radius of Mass 1 [R₁]			+10% -10%
✖Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it.ⓘ Mass 2 [m₂]			+10% -10%
✖Radius of Mass 2 is a distance of mass 2 from the center of mass.ⓘ Radius of Mass 2 [R₂]			+10% -10%

✖Angular Velocity of Diatomic Molecule refers to how fast an object rotates or revolves relative to another point.ⓘ Angular Velocity given Kinetic Energy [ω3]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Angular Momentum and Velocity of Diatomic Molecule Formulas PDF PDF Image

Angular Velocity given Kinetic Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Velocity of Diatomic Molecule = sqrt(2*Kinetic Energy/((Mass 1*(Radius of Mass 1^2))+(Mass 2*(Radius of Mass 2^2))))
ω3 = sqrt(2*KE/((m₁*(R₁^2))+(m₂*(R₂^2))))
This formula uses 1 Functions, 6 Variables

Functions Used

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., sqrt(Number)

Variables Used

Angular Velocity of Diatomic Molecule - (Measured in Radian per Second) - Angular Velocity of Diatomic Molecule refers to how fast an object rotates or revolves relative to another point.
Kinetic Energy - (Measured in Joule) - Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.
Mass 1 - (Measured in Kilogram) - Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.
Radius of Mass 1 - (Measured in Meter) - Radius of mass 1 is a distance of mass 1 from the center of mass.
Mass 2 - (Measured in Kilogram) - Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it.
Radius of Mass 2 - (Measured in Meter) - Radius of Mass 2 is a distance of mass 2 from the center of mass.

STEP 1: Convert Input(s) to Base Unit

Kinetic Energy: 40 Joule --> 40 Joule No Conversion Required
Mass 1: 14 Kilogram --> 14 Kilogram No Conversion Required
Radius of Mass 1: 1.5 Centimeter --> 0.015 Meter (Check conversion here)
Mass 2: 16 Kilogram --> 16 Kilogram No Conversion Required
Radius of Mass 2: 3 Centimeter --> 0.03 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω3 = sqrt(2*KE/((m₁*(R₁^2))+(m₂*(R₂^2)))) --> sqrt(2*40/((14*(0.015^2))+(16*(0.03^2))))

Evaluating ... ...

ω3 = 67.5159578055778

STEP 3: Convert Result to Output's Unit

67.5159578055778 Radian per Second --> No Conversion Required

FINAL ANSWER

67.5159578055778 ≈ 67.51596 Radian per Second <-- Angular Velocity of Diatomic Molecule

(Calculation completed in 00.004 seconds)

You are here -

Home » Chemistry » Analytical chemistry » Molecular Spectroscopy » Rotational Spectroscopy » Angular Momentum and Velocity of Diatomic Molecule » Angular Velocity given Kinetic Energy

Credits

Created by Nishant Sihag

Indian Institute of Technology (IIT), Delhi

Nishant Sihag has created this Calculator and 50+ more calculators!

Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has verified this Calculator and 900+ more calculators!

< Angular Momentum and Velocity of Diatomic Molecule Calculators

Angular Velocity given Inertia and Kinetic Energy

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

Angular Momentum given Moment of Inertia

LaTeX Go Angular Momentum given Moment of Inertia = Moment of Inertia*Angular Velocity Spectroscopy

Angular Momentum given Kinetic Energy

LaTeX Go Angular Momentum1 = sqrt(2*Moment of Inertia*Kinetic Energy)

Angular Velocity of Diatomic Molecule

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

< Angular momentum and velocity of diatomic molecule Calculators

Angular Velocity given Inertia and Kinetic Energy

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

Angular Momentum given Moment of Inertia

LaTeX Go Angular Momentum given Moment of Inertia = Moment of Inertia*Angular Velocity Spectroscopy

Angular Momentum given Kinetic Energy

LaTeX Go Angular Momentum1 = sqrt(2*Moment of Inertia*Kinetic Energy)

Angular Velocity of Diatomic Molecule

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

Angular Velocity given Kinetic Energy Formula

LaTeX Go

Angular Velocity of Diatomic Molecule = sqrt(2*Kinetic Energy/((Mass 1*(Radius of Mass 1^2))+(Mass 2*(Radius of Mass 2^2))))
ω3 = sqrt(2*KE/((m₁*(R₁^2))+(m₂*(R₂^2))))

How to get Angular velocity(ω) when kinetic energy(KE) is given?

Kinetic energy is the work needed to accelerate a body of a given mass from rest to its stated velocity. Which is numerically written as half*mass *square of velocity for a given object. So for a system, we have to add kinetic energy of the individual masses. Through this, we get total Kinetic energy of a system. Now we further substitute velocity by (radius*angular velocity). And thus we obtain a relation between angular velocity (ω) and kinetic energy.

How to Calculate Angular Velocity given Kinetic Energy?

Angular Velocity given Kinetic Energy calculator 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 calculate 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 calculate Angular Velocity given Kinetic Energy using this online calculator? To use this online calculator 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. Here is how the Angular Velocity given Kinetic Energy calculation can be explained with given input values -> 67.51596 = sqrt(2*40/((14*(0.015^2))+(16*(0.03^2)))).

FAQ

What is Angular Velocity given Kinetic Energy?

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 and is represented as ω3 = sqrt(2*KE/((m₁*(R₁^2))+(m₂*(R₂^2)))) or Angular Velocity of Diatomic Molecule = sqrt(2*Kinetic Energy/((Mass 1*(Radius of Mass 1^2))+(Mass 2*(Radius of Mass 2^2)))). Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity, Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it, Radius of mass 1 is a distance of mass 1 from the center of mass, Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it & Radius of Mass 2 is a distance of mass 2 from the center of mass.

How to calculate Angular Velocity given Kinetic Energy?

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 is calculated using Angular Velocity of Diatomic Molecule = sqrt(2*Kinetic Energy/((Mass 1*(Radius of Mass 1^2))+(Mass 2*(Radius of Mass 2^2)))). To calculate Angular Velocity given Kinetic Energy, you need Kinetic Energy (KE), Mass 1 (m₁), Radius of Mass 1 (R₁), Mass 2 (m₂) & Radius of Mass 2 (R₂). With our tool, you need to enter the respective value for Kinetic Energy, Mass 1, Radius of Mass 1, Mass 2 & Radius of Mass 2 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Angular Velocity of Diatomic Molecule?

In this formula, Angular Velocity of Diatomic Molecule uses Kinetic Energy, Mass 1, Radius of Mass 1, Mass 2 & Radius of Mass 2. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search