HCF calculator

Resonant Frequency Calculator

Engineering Chemistry Financial Health More >>

↳

Electronics Chemical Engineering Civil Electrical More >>

⤿

Control System Amplifiers Analog Communications Analog Electronics More >>

⤿

Fundamental Parameters Second Order System

✖The Natural Frequency of Oscillation refers to the frequency at which a physical system or structure will oscillate or vibrate when it is disturbed from its equilibrium position.ⓘ Natural Frequency of Oscillation [ω_n]			+10% -10%
✖Damping Ratio in control system is defined as the ratio with which any signal gets decayed.ⓘ Damping Ratio [ζ]			+10% -10%

✖Resonant Frequency is the oscillation of a system at its natural or unforced resonance.ⓘ Resonant Frequency [ω_r]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Electronics Formula PDF PDF Image

Resonant Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resonant Frequency = Natural Frequency of Oscillation*sqrt(1-2*Damping Ratio^2)
ω_r = ω_n*sqrt(1-2*ζ^2)
This formula uses 1 Functions, 3 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

Resonant Frequency - (Measured in Hertz) - Resonant Frequency is the oscillation of a system at its natural or unforced resonance.
Natural Frequency of Oscillation - (Measured in Hertz) - The Natural Frequency of Oscillation refers to the frequency at which a physical system or structure will oscillate or vibrate when it is disturbed from its equilibrium position.
Damping Ratio - Damping Ratio in control system is defined as the ratio with which any signal gets decayed.

STEP 1: Convert Input(s) to Base Unit

Natural Frequency of Oscillation: 23 Hertz --> 23 Hertz No Conversion Required
Damping Ratio: 0.1 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω_r = ω_n*sqrt(1-2*ζ^2) --> 23*sqrt(1-2*0.1^2)

Evaluating ... ...

ω_r = 22.7688383542068

STEP 3: Convert Result to Output's Unit

22.7688383542068 Hertz --> No Conversion Required

FINAL ANSWER

22.7688383542068 ≈ 22.76884 Hertz <-- Resonant Frequency

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electronics » Control System » Fundamental Parameters » Resonant Frequency

Credits

Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has created this Calculator and 500+ more calculators!

Verified by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has verified this Calculator and 1100+ more calculators!

< Fundamental Parameters Calculators

Angle of Asymptotes

LaTeX Go Angle of Asymptotes = ((2*(modulus(Number of Poles-Number of Zeroes)-1)+1)*pi)/(modulus(Number of Poles-Number of Zeroes))

Bandwidth Frequency given Damping Ratio

LaTeX Go Bandwidth Frequency = Natural Frequency of Oscillation*(sqrt(1-(2*Damping Ratio^2))+sqrt(Damping Ratio^4-(4*Damping Ratio^2)+2))

Closed Loop Negative Feedback Gain

LaTeX Go Gain with Feedback = Open Loop Gain of an OP-AMP/(1+(Feedback Factor*Open Loop Gain of an OP-AMP))

Closed Loop Gain

LaTeX Go Closed-Loop Gain = 1/Feedback Factor

< Control System Design Calculators

Bandwidth Frequency given Damping Ratio

LaTeX Go Bandwidth Frequency = Natural Frequency of Oscillation*(sqrt(1-(2*Damping Ratio^2))+sqrt(Damping Ratio^4-(4*Damping Ratio^2)+2))

First Peak Undershoot

LaTeX Go Peak Undershoot = e^(-(2*Damping Ratio*pi)/(sqrt(1-Damping Ratio^2)))

First Peak Overshoot

LaTeX Go Peak Overshoot = e^(-(pi*Damping Ratio)/(sqrt(1-Damping Ratio^2)))

Delay Time

LaTeX Go Delay Time = (1+(0.7*Damping Ratio))/Natural Frequency of Oscillation

< Modelling Parameters Calculators

Damping Ratio or Damping Factor

LaTeX Go Damping Ratio = Damping Coefficient/(2*sqrt(Mass*Spring Constant))

Damped Natural Frequency

LaTeX Go Damped Natural Frequency = Natural Frequency of Oscillation*sqrt(1-Damping Ratio^2)

Resonant Frequency

LaTeX Go Resonant Frequency = Natural Frequency of Oscillation*sqrt(1-2*Damping Ratio^2)

Resonant Peak

LaTeX Go Resonant Peak = 1/(2*Damping Ratio*sqrt(1-Damping Ratio^2))

Resonant Frequency Formula

LaTeX Go

Resonant Frequency = Natural Frequency of Oscillation*sqrt(1-2*Damping Ratio^2)
ω_r = ω_n*sqrt(1-2*ζ^2)

Why is resonant frequency important?

In the case of resonance, the deflection of the oscillation becomes larger. In acoustics, a higher amplitude of sound waves means a higher sound pressure and thus a higher volume. Resonant frequencies are generally undesirable for loudspeakers.

How to Calculate Resonant Frequency?

Resonant Frequency calculator uses Resonant Frequency = Natural Frequency of Oscillation*sqrt(1-2*Damping Ratio^2) to calculate the Resonant Frequency, Resonant Frequency formula is defined as the frequency at which the magnitude of the frequency response has peak value for the first time. Resonant Frequency is denoted by ω_r symbol.

How to calculate Resonant Frequency using this online calculator? To use this online calculator for Resonant Frequency, enter Natural Frequency of Oscillation (ω_n) & Damping Ratio (ζ) and hit the calculate button. Here is how the Resonant Frequency calculation can be explained with given input values -> 22.76884 = 23*sqrt(1-2*0.1^2).

FAQ

What is Resonant Frequency?

Resonant Frequency formula is defined as the frequency at which the magnitude of the frequency response has peak value for the first time and is represented as ω_r = ω_n*sqrt(1-2*ζ^2) or Resonant Frequency = Natural Frequency of Oscillation*sqrt(1-2*Damping Ratio^2). The Natural Frequency of Oscillation refers to the frequency at which a physical system or structure will oscillate or vibrate when it is disturbed from its equilibrium position & Damping Ratio in control system is defined as the ratio with which any signal gets decayed.

How to calculate Resonant Frequency?

Resonant Frequency formula is defined as the frequency at which the magnitude of the frequency response has peak value for the first time is calculated using Resonant Frequency = Natural Frequency of Oscillation*sqrt(1-2*Damping Ratio^2). To calculate Resonant Frequency, you need Natural Frequency of Oscillation (ω_n) & Damping Ratio (ζ). With our tool, you need to enter the respective value for Natural Frequency of Oscillation & Damping Ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search