Classical Damping Constant of Oscillator Solution

STEP 0: Pre-Calculation Summary
Formula Used
Classical Damping Constant = (8*(pi^2)*([Charge-e]^2)*(Oscillator Frequency^2))/(3*[Mass-e]*([c]^3))
γcl = (8*(pi^2)*([Charge-e]^2)*(ν^2))/(3*[Mass-e]*([c]^3))
This formula uses 4 Constants, 2 Variables
Constants Used
[Charge-e] - Charge of electron Value Taken As 1.60217662E-19 Coulomb
[Mass-e] - Mass of electron Value Taken As 9.10938356E-31 Kilogram
[c] - Light speed in vacuum Value Taken As 299792458.0 Meter/Second
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Classical Damping Constant - Classical Damping Constant is the constant for loss of energy of an oscillating system by dissipation.
Oscillator Frequency - (Measured in Hertz) - Oscillator Frequency is the number of oscillations per unit of time.
STEP 1: Convert Input(s) to Base Unit
Oscillator Frequency: 4800 Hertz --> 4800 Hertz No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
γcl = (8*(pi^2)*([Charge-e]^2)*(ν^2))/(3*[Mass-e]*([c]^3)) --> (8*(pi^2)*([Charge-e]^2)*(4800^2))/(3*[Mass-e]*([c]^3))
Evaluating ... ...
γcl = 6.34191817906311E-25
STEP 3: Convert Result to Output's Unit
6.34191817906311E-25 --> No Conversion Required
FINAL ANSWER
6.34191817906311E-25 6.3E-25 <-- Classical Damping Constant
(Calculation completed in 00.004 seconds)

Credits

Created by Sangita Kalita
National Institute of Technology, Manipur (NIT Manipur), Imphal, Manipur
Sangita Kalita has created this Calculator and 50+ more calculators!
Verified by Soupayan banerjee
National University of Judicial Science (NUJS), Kolkata
Soupayan banerjee has verified this Calculator and 800+ more calculators!

9 Spectrochemistry Calculators

Kaiser Transform
Go Kaiser Transform = (Constant for Kaiser Transform*log10(1/Transmittance for Kaiser Transform))+((1-Constant for Kaiser Transform)*log10(1/(Transmittance for Kaiser Transform-1)))
Absolute Intensity of Atom Line
Go Absolute Intensity of Atom Line = (Gaseous Layer Thickness/(4*pi))*Transition Probability*Neutral Atoms Density*[hP]*Spectral Line Frequency
Scheibe-Lomakin Equation
Go Intensity of Spectral Line = Proportionality Constant of Schiebe Lomakin*(Concentration of Element for Scheibe Lomakin^Proportionality Deviation of Schiebe Lomakin)
Relative Radiant Intensity of Atom Line
Go Radiant Intensity = (Gaseous Layer Thickness/(4*pi))*Transition Number*[hP]*Spectral Line Frequency
Solid Angle for Radiance
Go Solid Angle for Radiance = (Surface Area for Radiance*cos(Angle for Radiance))/(Distance for Radiance^2)
Relative Exposure
Go Relative Exposure = 10^((Slope for Relative Exposure*Kaiser Transform)+Intercept for Relative Exposure)
Partial Pressure in Column Arc
Go Partial Pressure in Arc Column = 1.3625*(10^22)*Temperature in Arc Column*Electron Density in Arc Column
Classical Damping Constant of Oscillator
Go Classical Damping Constant = (8*(pi^2)*([Charge-e]^2)*(Oscillator Frequency^2))/(3*[Mass-e]*([c]^3))
Radiant Flux
Go Radiant Flux = Radiant Intensity*Solid Angle for Radiance

Classical Damping Constant of Oscillator Formula

Classical Damping Constant = (8*(pi^2)*([Charge-e]^2)*(Oscillator Frequency^2))/(3*[Mass-e]*([c]^3))
γcl = (8*(pi^2)*([Charge-e]^2)*(ν^2))/(3*[Mass-e]*([c]^3))

What is spectrochemical analysis?

In spectrochemical analysis, emission spectra of atoms and ions (and sometimes of molecules) are used for detecting and determining chemical elements. To ascertain the concentrations of the elements in the samples, 'intensities' of spectral lines are evaluated.

How to Calculate Classical Damping Constant of Oscillator?

Classical Damping Constant of Oscillator calculator uses Classical Damping Constant = (8*(pi^2)*([Charge-e]^2)*(Oscillator Frequency^2))/(3*[Mass-e]*([c]^3)) to calculate the Classical Damping Constant, The Classical Damping Constant of Oscillator formula is defined as constant for damping, which is the loss of energy of an oscillating system by dissipation, causing its oscillations to gradually decay. Classical Damping Constant is denoted by γcl symbol.

How to calculate Classical Damping Constant of Oscillator using this online calculator? To use this online calculator for Classical Damping Constant of Oscillator, enter Oscillator Frequency (ν) and hit the calculate button. Here is how the Classical Damping Constant of Oscillator calculation can be explained with given input values -> 6.3E-25 = (8*(pi^2)*([Charge-e]^2)*(4800^2))/(3*[Mass-e]*([c]^3)).

FAQ

What is Classical Damping Constant of Oscillator?
The Classical Damping Constant of Oscillator formula is defined as constant for damping, which is the loss of energy of an oscillating system by dissipation, causing its oscillations to gradually decay and is represented as γcl = (8*(pi^2)*([Charge-e]^2)*(ν^2))/(3*[Mass-e]*([c]^3)) or Classical Damping Constant = (8*(pi^2)*([Charge-e]^2)*(Oscillator Frequency^2))/(3*[Mass-e]*([c]^3)). Oscillator Frequency is the number of oscillations per unit of time.
How to calculate Classical Damping Constant of Oscillator?
The Classical Damping Constant of Oscillator formula is defined as constant for damping, which is the loss of energy of an oscillating system by dissipation, causing its oscillations to gradually decay is calculated using Classical Damping Constant = (8*(pi^2)*([Charge-e]^2)*(Oscillator Frequency^2))/(3*[Mass-e]*([c]^3)). To calculate Classical Damping Constant of Oscillator, you need Oscillator Frequency (ν). With our tool, you need to enter the respective value for Oscillator Frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!