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Classical Damping Constant of Oscillator Calculator

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✖Oscillator Frequency is the number of oscillations per unit of time.ⓘ Oscillator Frequency [ν]

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✖Classical Damping Constant is the constant for loss of energy of an oscillating system by dissipation.ⓘ Classical Damping Constant of Oscillator [γ_cl]

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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))
γ_cl = (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
[Mass-e] - Mass of electron Value Taken As 9.10938356E-31
[c] - Light speed in vacuum Value Taken As 299792458.0
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

γ_cl = (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 ... ...

γ_cl = 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)

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Classical Damping Constant of Oscillator Formula

LaTeX Go

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

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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 γ_cl 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 γ_cl = (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.

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