Damping Co-efficient Calculator

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✖The Open Loop Gain is the gain of the amplifier without the feedback loop being closed.ⓘ Open Loop Gain [A_o]			+10% -10%
✖Input Frequency refers to the rate at which data or signals are received within a specified timeframe, typically measured in hertz (Hz).ⓘ Input Frequency [f_in]			+10% -10%
✖High Frequency refers to a rapid repetition or occurrence of events, signals, or cycles within a short period, often associated with quick and frequent occurrences.ⓘ High Frequency [f_h]			+10% -10%

✖Damping Co-efficient measures the rate at which an oscillating system, like a spring, resists oscillation, influencing how quickly it returns to equilibrium after being disturbed.ⓘ Damping Co-efficient [ζ]

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Formula

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Damping Co-efficient

Formula

`"ζ" = 1/(2*"A"_{"o"})*sqrt("f"_{"in"}/"f"_{"h"})`

Example

`"0.070189Ns/m"=1/(2*"21.5")*sqrt("50.1Hz"/"5.5Hz")`

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Damping Co-efficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Damping Co-efficient = 1/(2*Open Loop Gain)*sqrt(Input Frequency/High Frequency)
ζ = 1/(2*A_o)*sqrt(f_in/f_h)
This formula uses 1 Functions, 4 Variables

Functions Used

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., sqrt(Number)

Variables Used

Damping Co-efficient - (Measured in Newton Second per Meter) - Damping Co-efficient measures the rate at which an oscillating system, like a spring, resists oscillation, influencing how quickly it returns to equilibrium after being disturbed.
Open Loop Gain - The Open Loop Gain is the gain of the amplifier without the feedback loop being closed.
Input Frequency - (Measured in Hertz) - Input Frequency refers to the rate at which data or signals are received within a specified timeframe, typically measured in hertz (Hz).
High Frequency - (Measured in Hertz) - High Frequency refers to a rapid repetition or occurrence of events, signals, or cycles within a short period, often associated with quick and frequent occurrences.

STEP 1: Convert Input(s) to Base Unit

Open Loop Gain: 21.5 --> No Conversion Required
Input Frequency: 50.1 Hertz --> 50.1 Hertz No Conversion Required
High Frequency: 5.5 Hertz --> 5.5 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ζ = 1/(2*A_o)*sqrt(f_in/f_h) --> 1/(2*21.5)*sqrt(50.1/5.5)

Evaluating ... ...

ζ = 0.0701890012365666

STEP 3: Convert Result to Output's Unit

0.0701890012365666 Newton Second per Meter --> No Conversion Required

FINAL ANSWER

0.0701890012365666 ≈ 0.070189 Newton Second per Meter <-- Damping Co-efficient

(Calculation completed in 00.004 seconds)

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Created by Rahul Gupta

Chandigarh University (CU), Mohali, Punjab

Rahul Gupta has created this Calculator and 25+ more calculators!

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Vellore Institute of Technology (VIT Vellore), Vellore

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< 15 Continuous Time Signals Calculators

Current for Loaded Admittance

Go Current for Loaded Admittance = Current for Internal Admittance*Loaded Admittance/(Internal Admittance+Loaded Admittance)

Open Loop Gain of Signal

Go Open Loop Gain = 1/(2*Damping Co-efficient)*sqrt(Input Frequency/High Frequency)

Damping Co-efficient

Go Damping Co-efficient = 1/(2*Open Loop Gain)*sqrt(Input Frequency/High Frequency)

Voltage for Loaded Admittance

Go Voltage of Loaded Admittance = Current for Internal Admittance/(Internal Admittance+Loaded Admittance)

Damping Co-efficient in State-Space Form

Go Damping Co-efficient = Initial Resistance*sqrt(Capacitance/Inductance)

Resistance with respect to Damping Coefficient

Go Initial Resistance = Damping Co-efficient/(Capacitance/Inductance)^(1/2)

Coupling Co-efficient

Go Coupling Coefficient = Input Capacitance/(Capacitance+Input Capacitance)

Natural Frequency

Go Natural Frequency = sqrt(Input Frequency*High Frequency)

Periodic Signal of Time Fourier

Go Periodic Signal = sin((2*pi)/Time Periodic Signal)

Output of Time Invariant Signal

Go Time Invariant Output Signal = Time Invariant Input Signal*Impulse Response

Transfer Function

Go Transfer Function = Output Signal/Input Signal

Angular Frequency of Signal

Go Angular Frequency = 2*pi/Time Period

Time Period of Signal

Go Time Period = 2*pi/Angular Frequency

Frequency of Signal

Go Frequency = 2*pi/Angular Frequency

Inverse of System Function

Go Inverse System Function = 1/System Function

Damping Co-efficient Formula

Damping Co-efficient = 1/(2*Open Loop Gain)*sqrt(Input Frequency/High Frequency)
ζ = 1/(2*A_o)*sqrt(f_in/f_h)

Is damping coefficient constant?

The damping coefficient is the constant that multiplies the derivative term, c, in the differential equation. It has units. For a damped spring mass, it has units of N/(m/s).

How to Calculate Damping Co-efficient?

Damping Co-efficient calculator uses Damping Co-efficient = 1/(2*Open Loop Gain)*sqrt(Input Frequency/High Frequency) to calculate the Damping Co-efficient, The Damping Co-efficient formula is defined as to measure of how quickly it returns to rest as the frictional force dissipates its oscillation energy. Damping Co-efficient is denoted by ζ symbol.

How to calculate Damping Co-efficient using this online calculator? To use this online calculator for Damping Co-efficient, enter Open Loop Gain (A_o), Input Frequency (f_in) & High Frequency (f_h) and hit the calculate button. Here is how the Damping Co-efficient calculation can be explained with given input values -> 0.075453 = 1/(2*21.5)*sqrt(50.1/5.5).

FAQ

What is Damping Co-efficient?

The Damping Co-efficient formula is defined as to measure of how quickly it returns to rest as the frictional force dissipates its oscillation energy and is represented as ζ = 1/(2*A_o)*sqrt(f_in/f_h) or Damping Co-efficient = 1/(2*Open Loop Gain)*sqrt(Input Frequency/High Frequency). The Open Loop Gain is the gain of the amplifier without the feedback loop being closed, Input Frequency refers to the rate at which data or signals are received within a specified timeframe, typically measured in hertz (Hz) & High Frequency refers to a rapid repetition or occurrence of events, signals, or cycles within a short period, often associated with quick and frequent occurrences.

How to calculate Damping Co-efficient?

The Damping Co-efficient formula is defined as to measure of how quickly it returns to rest as the frictional force dissipates its oscillation energy is calculated using Damping Co-efficient = 1/(2*Open Loop Gain)*sqrt(Input Frequency/High Frequency). To calculate Damping Co-efficient, you need Open Loop Gain (A_o), Input Frequency (f_in) & High Frequency (f_h). With our tool, you need to enter the respective value for Open Loop Gain, Input Frequency & High Frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Damping Co-efficient?

In this formula, Damping Co-efficient uses Open Loop Gain, Input Frequency & High Frequency. We can use 1 other way(s) to calculate the same, which is/are as follows -

Damping Co-efficient = Initial Resistance*sqrt(Capacitance/Inductance)

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