Angular Velocity of Electron Calculator

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Structure of Atom

Bohr's Atomic Model

Compton Effect

De Broglie Hypothesis

Distance of Closest Approach

Heisenberg's Uncertainty Principle

Important Formulas on Bohr's Atomic Model

Photo Electric Effect

Planck Quantum Theory

Rutherford Scattering

Schrodinger Wave Equation

Sommerfeld Model

✖The Velocity of Electron is the speed at which the electron moves in a particular orbit.ⓘ Velocity of Electron [v_e]			+10% -10%
✖Radius of Orbit is the distance from the center of orbit of an electron to a point on its surface.ⓘ Radius of Orbit [r_orbit]			+10% -10%

✖Angular Velocity Electron refers to how fast an electron rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.ⓘ Angular Velocity of Electron [ω_vel]

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Formula

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Angular Velocity of Electron

Formula

`"ω"_{"vel"} = "v"_{"e"}/"r"_{"orbit"}`

Example

`"3.6E^8rad/s"="36m/s"/"100nm"`

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Angular Velocity of Electron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Velocity Electron = Velocity of Electron/Radius of Orbit
ω_vel = v_e/r_orbit
This formula uses 3 Variables

Variables Used

Angular Velocity Electron - (Measured in Radian per Second) - Angular Velocity Electron refers to how fast an electron rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.
Velocity of Electron - (Measured in Meter per Second) - The Velocity of Electron is the speed at which the electron moves in a particular orbit.
Radius of Orbit - (Measured in Meter) - Radius of Orbit is the distance from the center of orbit of an electron to a point on its surface.

STEP 1: Convert Input(s) to Base Unit

Velocity of Electron: 36 Meter per Second --> 36 Meter per Second No Conversion Required
Radius of Orbit: 100 Nanometer --> 1E-07 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω_vel = v_e/r_orbit --> 36/1E-07

Evaluating ... ...

ω_vel = 360000000

STEP 3: Convert Result to Output's Unit

360000000 Radian per Second --> No Conversion Required

FINAL ANSWER

360000000 ≈ 3.6E+8 Radian per Second <-- Angular Velocity Electron

(Calculation completed in 00.004 seconds)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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Verified by Suman Ray Pramanik

Indian Institute of Technology (IIT), Kanpur

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< 25 Structure of Atom Calculators

Bragg equation for Wavelength of Atoms in Crystal Lattice

Go Wavelength of X-ray = 2*Interplanar Spacing of Crystal*(sin(Bragg's Angle of Crystal))/Order of Diffraction

Bragg Equation for Distance between Planes of Atoms in Crystal Lattice

Go Interplanar Spacing in nm = (Order of Diffraction*Wavelength of X-ray)/(2*sin(Bragg's Angle of Crystal))

Bragg Equation for Order of Diffraction of Atoms in Crystal Lattice

Go Order of Diffraction = (2*Interplanar Spacing in nm*sin(Bragg's Angle of Crystal))/Wavelength of X-ray

Mass of Moving Electron

Go Mass of Moving Electron = Rest Mass of Electron/sqrt(1-((Velocity of Electron/[c])^2))

Electrostatic Force between Nucleus and Electron

Go Force between n and e = ([Coulomb]*Atomic Number*([Charge-e]^2))/(Radius of Orbit^2)

Energy of Stationary States

Go Energy of Stationary States = [Rydberg]*((Atomic Number^2)/(Quantum Number^2))

Radii of Stationary States

Go Radii of Stationary States = [Bohr-r]*((Quantum Number^2)/Atomic Number)

Radius of Orbit given Time Period of Electron

Go Radius of Orbit = (Time Period of Electron*Velocity of Electron)/(2*pi)

Time Period of Revolution of Electron

Go Time Period of Electron = (2*pi*Radius of Orbit)/Velocity of Electron

Orbital Frequency given Velocity of Electron

Go Frequency using Energy = Velocity of Electron/(2*pi*Radius of Orbit)

Total Energy in Electron Volts

Go Kinetic Energy of Photon = (6.8/(6.241506363094*10^(18)))*(Atomic Number)^2/(Quantum Number)^2

Energy in Electron Volts

Go Kinetic Energy of Photon = (6.8/(6.241506363094*10^(18)))*(Atomic Number)^2/(Quantum Number)^2

Kinetic Energy in Electron Volts

Go Energy of an Atom = -(13.6/(6.241506363094*10^(18)))*(Atomic Number)^2/(Quantum Number)^2

Radius of Orbit given Potential Energy of Electron

Go Radius of Orbit = (-(Atomic Number*([Charge-e]^2))/Potential Energy of Electron)

Energy of Electron

Go Kinetic Energy of Photon = 1.085*10^-18*(Atomic Number)^2/(Quantum Number)^2

Wave Number of Moving Particle

Go Wave Number = Energy of Atom/([hP]*[c])

Kinetic Energy of Electron

Go Energy of Atom = -2.178*10^(-18)*(Atomic Number)^2/(Quantum Number)^2

Radius of Orbit given Total Energy of Electron

Go Radius of Orbit = (-(Atomic Number*([Charge-e]^2))/(2*Total Energy))

Radius of Orbit given Kinetic Energy of Electron

Go Radius of Orbit = (Atomic Number*([Charge-e]^2))/(2*Kinetic Energy)

Angular Velocity of Electron

Go Angular Velocity Electron = Velocity of Electron/Radius of Orbit

Mass Number

Go Mass Number = Number of Protons+Number of Neutrons

Electric Charge

Go Electric Charge = Number of Electron*[Charge-e]

Number of Neutrons

Go Number of Neutrons = Mass Number-Atomic Number

Specific Charge

Go Specific Charge = Charge/[Mass-e]

Wave Number of Electromagnetic Wave

Go Wave Number = 1/Wavelength of Light Wave

Angular Velocity of Electron Formula

Angular Velocity Electron = Velocity of Electron/Radius of Orbit
ω_vel = v_e/r_orbit

What is Bohr's model?

In the Bohr model of an atom, an electron revolves around the center of mass of the electron and the nucleus. Even a single proton has 1836 times the mass of an electron so the electron essentially revolves about the center of the nucleus.
That model does a marvelous job of explaining the wavelengths of the spectrum of hydrogen. The relative errors in the calculated wavelengths of the spectrum are typically on the order of a few tenths of a percent. The basis for Bohr's model of an atom is that the angular momentum of an electron is an integer multiple of Planck's Constant divided by 2π, h.

How to Calculate Angular Velocity of Electron?

Angular Velocity of Electron calculator uses Angular Velocity Electron = Velocity of Electron/Radius of Orbit to calculate the Angular Velocity Electron, The Angular Velocity of Electron is the ratio of the velocity of that electron to the radius of the orbit. Angular Velocity Electron is denoted by ω_vel symbol.

How to calculate Angular Velocity of Electron using this online calculator? To use this online calculator for Angular Velocity of Electron, enter Velocity of Electron (v_e) & Radius of Orbit (r_orbit) and hit the calculate button. Here is how the Angular Velocity of Electron calculation can be explained with given input values -> 3.6E+8 = 36/1E-07.

FAQ

What is Angular Velocity of Electron?

The Angular Velocity of Electron is the ratio of the velocity of that electron to the radius of the orbit and is represented as ω_vel = v_e/r_orbit or Angular Velocity Electron = Velocity of Electron/Radius of Orbit. The Velocity of Electron is the speed at which the electron moves in a particular orbit & Radius of Orbit is the distance from the center of orbit of an electron to a point on its surface.

How to calculate Angular Velocity of Electron?

The Angular Velocity of Electron is the ratio of the velocity of that electron to the radius of the orbit is calculated using Angular Velocity Electron = Velocity of Electron/Radius of Orbit. To calculate Angular Velocity of Electron, you need Velocity of Electron (v_e) & Radius of Orbit (r_orbit). With our tool, you need to enter the respective value for Velocity of Electron & Radius of Orbit and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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