Credits

National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 500+ more calculators!
College Of Engineering (COEP), Pune
Pragati Jaju has verified this Calculator and 200+ more calculators!

Velocity of electron in orbit when angular velocity is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
velocity_of_electron = Angular Velocity*Radius of orbit
v = ω*r
This formula uses 2 Variables
Variables Used
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)
Radius of orbit - Radius of orbit is the distance from the center of orbit of an electron to a point on its surface. (Measured in Angstrom)
STEP 1: Convert Input(s) to Base Unit
Angular Velocity: 20 Radian per Second --> 20 Radian per Second No Conversion Required
Radius of orbit: 100 Angstrom --> 1E-08 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
v = ω*r --> 20*1E-08
Evaluating ... ...
v = 2E-07
STEP 3: Convert Result to Output's Unit
2E-07 Meter per Second --> No Conversion Required
FINAL ANSWER
2E-07 Meter per Second <-- Velocity of electron
(Calculation completed in 00.000 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

Velocity of electron in orbit when angular velocity is given Formula

velocity_of_electron = Angular Velocity*Radius of orbit
v = ω*r

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 when angular velocity is given?

Velocity of electron in orbit when angular velocity is given calculator uses velocity_of_electron = Angular Velocity*Radius of orbit to calculate the Velocity of electron, The Velocity of electron in orbit when angular velocity is given 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 and is denoted by v symbol.

How to calculate Velocity of electron in orbit when angular velocity is given using this online calculator? To use this online calculator for Velocity of electron in orbit when angular velocity is given, enter Angular Velocity (ω) and Radius of orbit (r) and hit the calculate button. Here is how the Velocity of electron in orbit when angular velocity is given calculation can be explained with given input values -> 2.000E-7 = 20*1E-08.

FAQ

What is Velocity of electron in orbit when angular velocity is given?
The Velocity of electron in orbit when angular velocity is given 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 = ω*r or velocity_of_electron = 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 and 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 when angular velocity is given?
The Velocity of electron in orbit when angular velocity is given 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 = Angular Velocity*Radius of orbit. To calculate Velocity of electron in orbit when angular velocity is given, you need Angular Velocity (ω) and Radius of orbit (r). With our tool, you need to enter the respective value for Angular Velocity and Radius of orbit 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 Velocity of electron?
In this formula, Velocity of electron uses Angular Velocity and Radius of orbit. 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 Velocity of electron in orbit when angular velocity is given calculator used?
Among many, Velocity of electron in orbit when angular velocity is given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!