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Radius of orbit when angular velocity is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
radius_of_orbit = Velocity of electron/Angular Velocity
r = v/ω
This formula uses 2 Variables
Variables Used
Velocity of electron - The velocity of electron is the speed at which the electron moves in a particular orbit. (Measured in Meter per Second)
Angular Velocity - 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. (Measured in Radian per Second)
STEP 1: Convert Input(s) to Base Unit
Velocity of electron: 20 Meter per Second --> 20 Meter per Second No Conversion Required
Angular Velocity: 20 Radian per Second --> 20 Radian per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = v/ω --> 20/20
Evaluating ... ...
r = 1
STEP 3: Convert Result to Output's Unit
1 Meter -->10000000000 Angstrom (Check conversion here)
FINAL ANSWER
10000000000 Angstrom <-- Radius of orbit
(Calculation completed in 00.016 seconds)

10+ Bohr's atomic model Calculators

Radius of Bohr's orbit
radius_of_orbit = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*Atomic number*([Charge-e]^2)) Go
Total energy of electron in nth orbit
energy = (-([Mass-e]*([Charge-e]^4)*(Atomic number^2))/(8*([Permitivity-vacuum]^2)*(Quantum Number^2)*([hP]^2))) Go
Radius of Bohr's orbit for the Hydrogen atom
radius_of_orbit = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*([Charge-e]^2)) Go
Velocity of electron in Bohr's orbit
velocity_of_electron = ([Charge-e]^2)/(2*[Permitivity-vacuum]*Quantum Number*[hP]) Go
Ionization potential
ionization_potential = ([Rydberg]*(Atomic number^2))/(Quantum Number^2) Go
Velocity of electron when time period of electron is given
velocity_of_electron = (2*pi*Radius of orbit)/Time period of electron Go
Radius of Bohr's orbit when atomic number is given
radius_of_orbit = (0.529*(Quantum Number^2))/Atomic number Go
Velocity of electron in orbit when angular velocity is given
velocity_of_electron = Angular Velocity*Radius of orbit Go
Radius of orbit when angular velocity is given
radius_of_orbit = Velocity of electron/Angular Velocity Go
Wave number when frequency of photon is given
wave_number_of_particle = Frequency of photon/[c] Go

Radius of orbit when angular velocity is given Formula

radius_of_orbit = Velocity of electron/Angular Velocity
r = v/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 when angular velocity is given?

Radius of orbit when angular velocity is given calculator uses radius_of_orbit = Velocity of electron/Angular Velocity to calculate the Radius of orbit, The Radius of orbit when angular velocity is given is defined as the radius of the fixed orbit as the electron revolves around the nucleus of the atom. Radius of orbit and is denoted by r symbol.

How to calculate Radius of orbit when angular velocity is given using this online calculator? To use this online calculator for Radius of orbit when angular velocity is given, enter Velocity of electron (v) and Angular Velocity (ω) and hit the calculate button. Here is how the Radius of orbit when angular velocity is given calculation can be explained with given input values -> 1.000E+10 = 20/20.

FAQ

What is Radius of orbit when angular velocity is given?
The Radius of orbit when angular velocity is given is defined as the radius of the fixed orbit as the electron revolves around the nucleus of the atom and is represented as r = v/ω or radius_of_orbit = Velocity of electron/Angular Velocity. The velocity of electron is the speed at which the electron moves in a particular orbit and 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 when angular velocity is given?
The Radius of orbit when angular velocity is given 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 = Velocity of electron/Angular Velocity. To calculate Radius of orbit when angular velocity is given, you need Velocity of electron (v) and Angular Velocity (ω). With our tool, you need to enter the respective value for Velocity of electron and 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?
In this formula, Radius of orbit uses Velocity of electron and Angular Velocity. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • velocity_of_electron = Angular Velocity*Radius of orbit
  • radius_of_orbit = Velocity of electron/Angular Velocity
  • radius_of_orbit = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*Atomic number*([Charge-e]^2))
  • radius_of_orbit = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*([Charge-e]^2))
  • energy = (-([Mass-e]*([Charge-e]^4)*(Atomic number^2))/(8*([Permitivity-vacuum]^2)*(Quantum Number^2)*([hP]^2)))
  • wave_number_of_particle = Frequency of photon/[c]
  • ionization_potential = ([Rydberg]*(Atomic number^2))/(Quantum Number^2)
  • velocity_of_electron = (2*pi*Radius of orbit)/Time period of electron
  • radius_of_orbit = (0.529*(Quantum Number^2))/Atomic number
  • velocity_of_electron = ([Charge-e]^2)/(2*[Permitivity-vacuum]*Quantum Number*[hP])
Where is the Radius of orbit when angular velocity is given calculator used?
Among many, Radius of orbit when angular velocity is given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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