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Velocity of Electron in Orbit given Angular Velocity Calculator

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✖The Angular Velocity 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.ⓘ Angular Velocity [ω]			+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%

✖Velocity of Electron given AV is the speed at which the electron moves in a particular orbit.ⓘ Velocity of Electron in Orbit given Angular Velocity [v_{e_AV}]

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Velocity of Electron in Orbit given Angular Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Electron given AV = Angular Velocity*Radius of Orbit
v_{e_AV} = ω*r_orbit
This formula uses 3 Variables

Variables Used

Velocity of Electron given AV - (Measured in Meter per Second) - Velocity of Electron given AV is the speed at which the electron moves in a particular orbit.
Angular Velocity - (Measured in Radian per Second) - The Angular Velocity 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.
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

Angular Velocity: 2 Radian per Second --> 2 Radian 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

v_{e_AV} = ω*r_orbit --> 2*1E-07

Evaluating ... ...

v_{e_AV} = 2E-07

STEP 3: Convert Result to Output's Unit

2E-07 Meter per Second --> No Conversion Required

FINAL ANSWER

2E-07 ≈ 2E-7 Meter per Second <-- Velocity of Electron given AV

(Calculation completed in 00.004 seconds)

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< Electrons and Orbits Calculators

Velocity of Electron in Bohr's Orbit

LaTeX Go Velocity of Electron given BO = ([Charge-e]^2)/(2*[Permitivity-vacuum]*Quantum Number*[hP])

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

Total Energy of Electron

LaTeX Go Total Energy = -1.085*(Atomic Number)^2/(Quantum Number)^2

Orbital Frequency of Electron

LaTeX Go Orbital Frequency = 1/Time Period of Electron

Velocity of Electron in Orbit given Angular Velocity Formula

LaTeX Go

Velocity of Electron given AV = Angular Velocity*Radius of Orbit
v_{e_AV} = ω*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 Velocity of Electron in Orbit given Angular Velocity?

Velocity of Electron in Orbit given Angular Velocity calculator uses Velocity of Electron given AV = Angular Velocity*Radius of Orbit to calculate the Velocity of Electron given AV, The Velocity of electron in orbit given angular velocity is a vector quantity (it has both magnitude and direction) and is the time rate of change of position (of a particle). Velocity of Electron given AV is denoted by v_{e_AV} symbol.

How to calculate Velocity of Electron in Orbit given Angular Velocity using this online calculator? To use this online calculator for Velocity of Electron in Orbit given Angular Velocity, enter Angular Velocity (ω) & Radius of Orbit (r_orbit) and hit the calculate button. Here is how the Velocity of Electron in Orbit given Angular Velocity calculation can be explained with given input values -> 2E-7 = 2*1E-07.

FAQ

What is Velocity of Electron in Orbit given Angular Velocity?

The Velocity of electron in orbit given angular velocity is a vector quantity (it has both magnitude and direction) and is the time rate of change of position (of a particle) and is represented as v_{e_AV} = ω*r_orbit or Velocity of Electron given AV = Angular Velocity*Radius of Orbit. The Angular Velocity 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 & Radius of Orbit is the distance from the center of orbit of an electron to a point on its surface.

How to calculate Velocity of Electron in Orbit given Angular Velocity?

The Velocity of electron in orbit given angular velocity is a vector quantity (it has both magnitude and direction) and is the time rate of change of position (of a particle) is calculated using Velocity of Electron given AV = Angular Velocity*Radius of Orbit. To calculate Velocity of Electron in Orbit given Angular Velocity, you need Angular Velocity (ω) & Radius of Orbit (r_orbit). With our tool, you need to enter the respective value for Angular Velocity & 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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