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Damping Coefficient of Second Order Transmittance Formula

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The Damping Coefficient refers to the measure of effectiveness of damper, it reflects ability of damper to which it can resist the motion. Check FAQs

ζ o = (\frac{1}{2}) \cdot R in \cdot C in \cdot \sqrt{\frac{K f \cdot L o}{W ss \cdot C in}}

ζ_o - Damping Coefficient?R_in - Input Resistance?C_in - Initial Capacitance?K_f - Transmittance Filtering?L_o - Input Inductance?W_ss - Sample Signal Window?

Damping Coefficient of Second Order Transmittance Example

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Here is how the Damping Coefficient of Second Order Transmittance equation looks like with Values.

Here is how the Damping Coefficient of Second Order Transmittance equation looks like with Units.

Here is how the Damping Coefficient of Second Order Transmittance equation looks like.

2.8969 = (\frac{1}{2}) \cdot 4.51 \cdot 3.8 \cdot \sqrt{\frac{0.76 \cdot 4}{7 \cdot 3.8}}

2.8969Ns/m = (\frac{1}{2}) \cdot 4.51Ω \cdot 3.8F \cdot \sqrt{\frac{0.76 \cdot 4H}{7 \cdot 3.8F}}

2.8969 = (\frac{1}{2}) \cdot 4.51 \cdot 3.8 \cdot \sqrt{\frac{0.76 \cdot 4}{7 \cdot 3.8}}

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Damping Coefficient of Second Order Transmittance Solution

Follow our step by step solution on how to calculate Damping Coefficient of Second Order Transmittance?

FIRST Step Consider the formula

ζ o = (\frac{1}{2}) \cdot R in \cdot C in \cdot \sqrt{\frac{K f \cdot L o}{W ss \cdot C in}}

Next Step Substitute values of Variables

∴

ζ o = (\frac{1}{2}) \cdot 4.51Ω \cdot 3.8F \cdot \sqrt{\frac{0.76 \cdot 4H}{7 \cdot 3.8F}}

Next Step Prepare to Evaluate

∴

ζ o = (\frac{1}{2}) \cdot 4.51 \cdot 3.8 \cdot \sqrt{\frac{0.76 \cdot 4}{7 \cdot 3.8}}

Next Step Evaluate

∴

ζ o = 2.89685072350746Ns/m

LAST Step Rounding Answer

∴

ζ o = 2.8969Ns/m

Damping Coefficient of Second Order Transmittance Formula Elements

Variables

Functions

Damping Coefficient

The Damping Coefficient refers to the measure of effectiveness of damper, it reflects ability of damper to which it can resist the motion.

Symbol: ζ_o

Measurement: Damping CoefficientUnit: Ns/m

Note: Value can be positive or negative.

Formulas to find Damping Coefficient

Open Variable

Input Resistance

Input Resistance is an electrical component that limits or regulates the flow of electrical current in an electronic circuit.

Symbol: R_in

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Input Resistance

Open Variable

Initial Capacitance

Initial Capacitance of coupling coefficient is the transfer of energy within an electrical network or between distant networks.

Symbol: C_in

Measurement: CapacitanceUnit: F

Note: Value should be greater than 0.

Formulas to find Initial Capacitance

Open Variable

Transmittance Filtering

Transmittance Filtering is a linear filter which attenuates the transmittance over a broad range of wavelengths.

Symbol: K_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Transmittance Filtering

Open Variable

Input Inductance

Input Inductance is the tendency of an electrical conductor to oppose a change in the electric current flowing through it.

Symbol: L_o

Measurement: InductanceUnit: H

Note: Value should be greater than 0.

Formulas to find Input Inductance

Open Variable

Sample Signal Window

Sample Signal Window typically refers to a specific section or range within a signal where sampling or analysis is performed. In various fields like signal processing.

Symbol: W_ss

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Sample Signal Window

Open Variable

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Discrete Time Signals category

Go Cutoff Angular Frequency

ω co = \frac{M \cdot f ce}{W ss \cdot K}

Go Hanning Window

W hn = \frac{1}{2} - (\frac{1}{2}) \cdot \cos (\frac{2 \cdot π \cdot n}{W ss - 1})

Go Hamming Window

W hm = 0.54 - 0.46 \cdot \cos (\frac{2 \cdot π \cdot n}{W ss - 1})

Go Triangular Window

W tn = 0.42 - 0.52 \cdot \cos (\frac{2 \cdot π \cdot n}{W ss - 1}) - 0.08 \cdot \cos (\frac{4 \cdot π \cdot n}{W ss - 1})

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How to Evaluate Damping Coefficient of Second Order Transmittance?

Damping Coefficient of Second Order Transmittance evaluator uses Damping Coefficient = (1/2)*Input Resistance*Initial Capacitance*sqrt((Transmittance Filtering*Input Inductance)/(Sample Signal Window*Initial Capacitance)) to evaluate the Damping Coefficient, The Damping Coefficient of Second order Transmittance formula is defined as a measure of how quickly it returns to rest as the frictional force dissipates its oscillation energy. Damping Coefficient is denoted by ζ_o symbol.

How to evaluate Damping Coefficient of Second Order Transmittance using this online evaluator? To use this online evaluator for Damping Coefficient of Second Order Transmittance, enter Input Resistance (R_in), Initial Capacitance (C_in), Transmittance Filtering (K_f), Input Inductance (L_o) & Sample Signal Window (W_ss) and hit the calculate button.

FAQs on Damping Coefficient of Second Order Transmittance

What is the formula to find Damping Coefficient of Second Order Transmittance?

The formula of Damping Coefficient of Second Order Transmittance is expressed as Damping Coefficient = (1/2)*Input Resistance*Initial Capacitance*sqrt((Transmittance Filtering*Input Inductance)/(Sample Signal Window*Initial Capacitance)). Here is an example- 2.896851 = (1/2)*4.51*3.8*sqrt((0.76*4)/(7*3.8)).

How to calculate Damping Coefficient of Second Order Transmittance?

With Input Resistance (R_in), Initial Capacitance (C_in), Transmittance Filtering (K_f), Input Inductance (L_o) & Sample Signal Window (W_ss) we can find Damping Coefficient of Second Order Transmittance using the formula - Damping Coefficient = (1/2)*Input Resistance*Initial Capacitance*sqrt((Transmittance Filtering*Input Inductance)/(Sample Signal Window*Initial Capacitance)). This formula also uses Square Root (sqrt) function(s).

Can the Damping Coefficient of Second Order Transmittance be negative?

Yes, the Damping Coefficient of Second Order Transmittance, measured in Damping Coefficient can be negative.

Which unit is used to measure Damping Coefficient of Second Order Transmittance?

Damping Coefficient of Second Order Transmittance is usually measured using the Newton Second per Meter[Ns/m] for Damping Coefficient. Newton Second per Centimeter[Ns/m] are the few other units in which Damping Coefficient of Second Order Transmittance can be measured.

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