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Classical Damping Constant of Oscillator Formula

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Classical Damping Constant is the constant for loss of energy of an oscillating system by dissipation. Check FAQs

γ cl = \frac{8 \cdot (π^{2}) \cdot ({[Charge-e]}^{2}) \cdot (ν^{2})}{3 \cdot [Mass-e] \cdot ({[c]}^{3})}

γ_cl - Classical Damping Constant?ν - Oscillator Frequency?[Charge-e] - Charge of electron?[Mass-e] - Mass of electron?[c] - Light speed in vacuum?π - Archimedes' constant?

Classical Damping Constant of Oscillator Example

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Here is how the Classical Damping Constant of Oscillator equation looks like with Values.

Here is how the Classical Damping Constant of Oscillator equation looks like with Units.

Here is how the Classical Damping Constant of Oscillator equation looks like.

6.3E-25 = \frac{8 \cdot ({3.1416}^{2}) \cdot ({1.6E-19}^{2}) \cdot (4800^{2})}{3 \cdot 9.1E-31 \cdot ({3E+8}^{3})}

6.3E-25 = \frac{8 \cdot ({3.1416}^{2}) \cdot ({1.6E-19C}^{2}) \cdot ({4800Hz}^{2})}{3 \cdot 9.1E-31kg \cdot ({3E+8m/s}^{3})}

6.3E-25 = \frac{8 \cdot ({3.1416}^{2}) \cdot ({1.6E-19}^{2}) \cdot (4800^{2})}{3 \cdot 9.1E-31 \cdot ({3E+8}^{3})}

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Classical Damping Constant of Oscillator Solution

Follow our step by step solution on how to calculate Classical Damping Constant of Oscillator?

FIRST Step Consider the formula

γ cl = \frac{8 \cdot (π^{2}) \cdot ({[Charge-e]}^{2}) \cdot (ν^{2})}{3 \cdot [Mass-e] \cdot ({[c]}^{3})}

Next Step Substitute values of Variables

∴

γ cl = \frac{8 \cdot (π^{2}) \cdot ({[Charge-e]}^{2}) \cdot ({4800Hz}^{2})}{3 \cdot [Mass-e] \cdot ({[c]}^{3})}

Next Step Substitute values of Constants

∴

γ cl = \frac{8 \cdot ({3.1416}^{2}) \cdot ({1.6E-19C}^{2}) \cdot ({4800Hz}^{2})}{3 \cdot 9.1E-31kg \cdot ({3E+8m/s}^{3})}

Next Step Prepare to Evaluate

∴

γ cl = \frac{8 \cdot ({3.1416}^{2}) \cdot ({1.6E-19}^{2}) \cdot (4800^{2})}{3 \cdot 9.1E-31 \cdot ({3E+8}^{3})}

Next Step Evaluate

∴

γ cl = 6.34191817906311E-25

LAST Step Rounding Answer

∴

γ cl = 6.3E-25

Classical Damping Constant of Oscillator Formula Elements

Variables

Constants

Classical Damping Constant

Classical Damping Constant is the constant for loss of energy of an oscillating system by dissipation.

Symbol: γ_cl

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Classical Damping Constant

Oscillator Frequency

Oscillator Frequency is the number of oscillations per unit of time.

Symbol: ν

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Oscillator Frequency

Charge of electron

Charge of electron is a fundamental physical constant, representing the electric charge carried by an electron, which is the elementary particle with a negative electric charge.

Symbol: [Charge-e]

Value: 1.60217662E-19 C

Mass of electron

Mass of electron is a fundamental physical constant, representing the amount of matter contained within an electron, an elementary particle with a negative electric charge.

Symbol: [Mass-e]

Value: 9.10938356E-31 kg

Light speed in vacuum

Light speed in vacuum is a fundamental physical constant representing the speed at which light propagates through a vacuum.

Symbol: [c]

Value: 299792458.0 m/s

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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How to Evaluate Classical Damping Constant of Oscillator?

Classical Damping Constant of Oscillator evaluator uses Classical Damping Constant = (8*(pi^2)*([Charge-e]^2)*(Oscillator Frequency^2))/(3*[Mass-e]*([c]^3)) to evaluate 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 evaluate Classical Damping Constant of Oscillator using this online evaluator? To use this online evaluator for Classical Damping Constant of Oscillator, enter Oscillator Frequency (ν) and hit the calculate button.

FAQs on Classical Damping Constant of Oscillator

What is the formula to find Classical Damping Constant of Oscillator?

The formula of Classical Damping Constant of Oscillator is expressed as Classical Damping Constant = (8*(pi^2)*([Charge-e]^2)*(Oscillator Frequency^2))/(3*[Mass-e]*([c]^3)). Here is an example- 6.3E-25 = (8*(pi^2)*([Charge-e]^2)*(4800^2))/(3*[Mass-e]*([c]^3)).

How to calculate Classical Damping Constant of Oscillator?

With Oscillator Frequency (ν) we can find Classical Damping Constant of Oscillator using the formula - Classical Damping Constant = (8*(pi^2)*([Charge-e]^2)*(Oscillator Frequency^2))/(3*[Mass-e]*([c]^3)). This formula also uses Charge of electron, Mass of electron, Light speed in vacuum, Archimedes' constant .

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