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Velocity of Electron given Time Period of Electron Calculator

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Electrons and Orbits Hydrogen Spectrum Radius of Bohr's Orbit

✖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%
✖Time Period of Electron is the time to complete one revolution of electron in orbit.ⓘ Time Period of Electron [T]			+10% -10%

✖Velocity of Electron given Time is the speed at which the electron moves in a particular orbit.ⓘ Velocity of Electron given Time Period of Electron [v_electron]

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Velocity of Electron given Time Period of Electron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Electron given Time = (2*pi*Radius of Orbit)/Time Period of Electron
v_electron = (2*pi*r_orbit)/T
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Velocity of Electron given Time - (Measured in Meter per Second) - Velocity of Electron given Time 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.
Time Period of Electron - (Measured in Second) - Time Period of Electron is the time to complete one revolution of electron in orbit.

STEP 1: Convert Input(s) to Base Unit

Radius of Orbit: 100 Nanometer --> 1E-07 Meter (Check conversion here)
Time Period of Electron: 875 Second --> 875 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_electron = (2*pi*r_orbit)/T --> (2*pi*1E-07)/875

Evaluating ... ...

v_electron = 7.18078320820524E-10

STEP 3: Convert Result to Output's Unit

7.18078320820524E-10 Meter per Second --> No Conversion Required

FINAL ANSWER

7.18078320820524E-10 ≈ 7.2E-10 Meter per Second <-- Velocity of Electron given Time

(Calculation completed in 00.020 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])

Potential Energy of Electron given Atomic Number

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

< Important Formulas on Bohr's Atomic Model Calculators

Change in Wave Number of Moving Particle

LaTeX Go Wave Number of moving Particle = 1.097*10^7*((Final Quantum Number)^2-(Initial Quantum Number)^2)/((Final Quantum Number^2)*(Initial Quantum Number^2))

Atomic Mass

LaTeX Go Atomic Mass = Total Mass of Proton+Total Mass of Neutron

Number of Electrons in nth Shell

LaTeX Go Number of Electrons in nth Shell = (2*(Quantum Number^2))

Orbital Frequency of Electron

LaTeX Go Orbital Frequency = 1/Time Period of Electron

Velocity of Electron given Time Period of Electron Formula

LaTeX Go

Velocity of Electron given Time = (2*pi*Radius of Orbit)/Time Period of Electron
v_electron = (2*pi*r_orbit)/T

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 given Time Period of Electron?

Velocity of Electron given Time Period of Electron calculator uses Velocity of Electron given Time = (2*pi*Radius of Orbit)/Time Period of Electron to calculate the Velocity of Electron given Time, The Velocity of electron given time period of electron 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 Time is denoted by v_electron symbol.

How to calculate Velocity of Electron given Time Period of Electron using this online calculator? To use this online calculator for Velocity of Electron given Time Period of Electron, enter Radius of Orbit (r_orbit) & Time Period of Electron (T) and hit the calculate button. Here is how the Velocity of Electron given Time Period of Electron calculation can be explained with given input values -> 7.2E-10 = (2*pi*1E-07)/875.

FAQ

What is Velocity of Electron given Time Period of Electron?

The Velocity of electron given time period of electron 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_electron = (2*pi*r_orbit)/T or Velocity of Electron given Time = (2*pi*Radius of Orbit)/Time Period of Electron. Radius of Orbit is the distance from the center of orbit of an electron to a point on its surface & Time Period of Electron is the time to complete one revolution of electron in orbit.

How to calculate Velocity of Electron given Time Period of Electron?

The Velocity of electron given time period of electron 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 Time = (2*pi*Radius of Orbit)/Time Period of Electron. To calculate Velocity of Electron given Time Period of Electron, you need Radius of Orbit (r_orbit) & Time Period of Electron (T). With our tool, you need to enter the respective value for Radius of Orbit & Time Period of Electron 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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