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Radius of Orbit given Angular Velocity Calculator

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Radius of Bohr's Orbit Electrons and Orbits Hydrogen Spectrum

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

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Radius of Orbit given Angular Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Orbit given AV = Velocity of Electron/Angular Velocity
r_{orbit_AV} = v_e/ω
This formula uses 3 Variables

Variables Used

Radius of Orbit given AV - (Measured in Meter) - Radius of Orbit given AV is the distance from the center of orbit of an electron to a point on its surface.
Velocity of Electron - (Measured in Meter per Second) - The Velocity of Electron 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.

STEP 1: Convert Input(s) to Base Unit

Velocity of Electron: 36 Meter per Second --> 36 Meter per Second No Conversion Required
Angular Velocity: 2 Radian per Second --> 2 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_{orbit_AV} = v_e/ω --> 36/2

Evaluating ... ...

r_{orbit_AV} = 18

STEP 3: Convert Result to Output's Unit

18 Meter -->18000000000 Nanometer (Check conversion here)

FINAL ANSWER

18000000000 ≈ 1.8E+10 Nanometer <-- Radius of Orbit given AV

(Calculation completed in 00.004 seconds)

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< Radius of Bohr's Orbit Calculators

Radius of Bohr's Orbit

LaTeX Go Radius of Orbit given AN = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*Atomic Number*([Charge-e]^2))

Radius of Bohr's Orbit for Hydrogen Atom

LaTeX Go Radius of Orbit given AV = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*([Charge-e]^2))

Radius of Bohr's Orbit given Atomic Number

LaTeX Go Radius of Orbit given AN = ((0.529/10000000000)*(Quantum Number^2))/Atomic Number

Radius of Orbit given Angular Velocity

LaTeX Go Radius of Orbit given AV = Velocity of Electron/Angular Velocity

Radius of Orbit given Angular Velocity Formula

LaTeX Go

Radius of Orbit given AV = Velocity of Electron/Angular Velocity
r_{orbit_AV} = v_e/ω

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 Radius of Orbit given Angular Velocity?

Radius of Orbit given Angular Velocity calculator uses Radius of Orbit given AV = Velocity of Electron/Angular Velocity to calculate the Radius of Orbit given AV, The Radius of orbit given angular velocity is defined as the radius of the fixed orbit as the electron revolves around the nucleus of the atom. Radius of Orbit given AV is denoted by r_{orbit_AV} symbol.

How to calculate Radius of Orbit given Angular Velocity using this online calculator? To use this online calculator for Radius of Orbit given Angular Velocity, enter Velocity of Electron (v_e) & Angular Velocity (ω) and hit the calculate button. Here is how the Radius of Orbit given Angular Velocity calculation can be explained with given input values -> 1.8E+19 = 36/2.

FAQ

What is Radius of Orbit given Angular Velocity?

The Radius of orbit given angular velocity is defined as the radius of the fixed orbit as the electron revolves around the nucleus of the atom and is represented as r_{orbit_AV} = v_e/ω or Radius of Orbit given AV = Velocity of Electron/Angular Velocity. The Velocity of Electron is the speed at which the electron moves in a particular 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.

How to calculate Radius of Orbit given Angular Velocity?

The Radius of orbit given angular velocity is defined as the radius of the fixed orbit as the electron revolves around the nucleus of the atom is calculated using Radius of Orbit given AV = Velocity of Electron/Angular Velocity. To calculate Radius of Orbit given Angular Velocity, you need Velocity of Electron (v_e) & Angular Velocity (ω). With our tool, you need to enter the respective value for Velocity of Electron & Angular Velocity 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 Radius of Orbit given AV?

In this formula, Radius of Orbit given AV uses Velocity of Electron & Angular Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Radius of Orbit given AV = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*([Charge-e]^2))

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