# What is Resonant frequency: Definition and 97 Discussions

Resonance describes the phenomenon of increased amplitude that occurs when the frequency of a periodically applied force (or a Fourier component of it) is equal or close to a natural frequency of the system on which it acts. When an oscillating force is applied at a resonant frequency of a dynamic system, the system will oscillate at a higher amplitude than when the same force is applied at other, non-resonant frequencies.Frequencies at which the response amplitude is a relative maximum are also known as resonant frequencies or resonance frequencies of the system. Small periodic forces that are near a resonant frequency of the system have the ability to produce large amplitude oscillations in the system due to the storage of vibrational energy.
Resonance phenomena occur with all types of vibrations or waves: there is mechanical resonance, acoustic resonance, electromagnetic resonance, nuclear magnetic resonance (NMR), electron spin resonance (ESR) and resonance of quantum wave functions. Resonant systems can be used to generate vibrations of a specific frequency (e.g., musical instruments), or pick out specific frequencies from a complex vibration containing many frequencies (e.g., filters).
The term resonance (from Latin resonantia, 'echo', from resonare, 'resound') originated from the field of acoustics, particularly the sympathetic resonance observed in musical instruments, e.g., when one string starts to vibrate and produce sound after a different one is struck.

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1. ### Viscosity and resonant frequency?

AP french's formula -> https://docs.google.com/document/d/13j2bIFgifZFLm65f4j6Wg9CI4sFxqEoDSIMCgCrWr9o/edit?usp=sharing Temperature relation that i couldnt understand ->...
2. ### I Question about driven harmonic oscillator

Hello! I wanted to make sure I am doing this right. In general for a driven damped harmonic oscillator: $$\ddot{x}+\gamma\dot{x}+\omega_0^2x=\frac{F}{m}\sin{\omega_dt}$$ where ##\gamma## is the damping, ##\omega_0## is the resonant frequency, ##m## is the mass of the particle, ##F## is the...
3. ### Formula for Resonant Frequency of 2 Metal Coaxial Cylinders?

Consider an LC circuit consisting of a parallel plate capacitor and a solenoid inductor in series. The formula for the resonant frequency of this circuit is 1/√(LC) where “L” is the inductance of the solenoid and “C” is the capacitance of the capacitor. Now consider a high-frequency cavity...
4. ### Engineering RLC circuit -- Phasor Transfer Function calculation

Good morning, I need some help solving those two question. I've attached my attempted solution below. Could i solve the transfer function any further? Thank you for your help
5. ### I Resonant Frequency Formula for a given object

I know the v = λf is the formula to find the resonance frequency of a single continuous wave and the formula for resonance frequency of a spring is: 1/2π∗sqrt(𝑘/𝑚) but what about the Formula for a random object? a car, or a rock, water ? is there one Formula to rule them all? or do you...

7. ### Finding the resonant frequency of this "discriminator" demod circuit.

This is the FM demodulation "discriminator" circuit. It is one of the simplest analog demod setups one could think of. An RF (FM) voltage signal is applied at V12 and the voltage at ' a' ' is supposed to contain the AF signal in its amplitude. The idea behind the circuit is that it resonates at...
8. ### Resonant frequency of a pipe submerged under water

How do I calculate a resonate frequency of a length of pipe submerged totally under water? Do I just take speed of sound in water which is 1,481m/s at room temp, and decided it by length of pipe in meters multiplied by 4? so at 20 celsius water and 20cm pipe it would just be: 1481 / (.2 x...
9. ### Hello Reality Anyone familiar with the Davisson-Germer Experiment?

Greetings, I'm happy to find such an enthusiastic community with an encyclopedic knowledge and mathematical rigor. I'm a Biomedical Engineering Researcher that's had to breach into the world of condensed matter physics to better understand the physical principles of the piezoelectric crystal...
10. ### Derivation of resonant frequency for SHM systems

Homework Statement My question here isn't a specific question that has been given for homework, but a more general one. For an assignment I have to 'derive an expression for the resonant frequency, ω0' for two different systems, the first for 'a mass M connected to rigid walls via two springs'...
11. ### What is the resonant frequency and peak current drawn

Homework Statement A series RLC current having a resistance of 40ohms and inductance of 400mH and a capacitance of 300microfarad is energized from 50Hz, 200V A.C supply. Find i) Resonance Frequency of the circuit ii) Peak current drawn by the circuit at 50Hz iii) Peak current drawn by the...
12. ### Calculating the resonant frequency of a gas cylinder

I would like to make a bell out of a used compressed gas cylinder, but I would like to tune it to a specific note or frequency, e.g. A (440Hz). Can someone help with a formula to calculate this so I can cut it precisely?
13. ### Stray/Parasitic Capacitance - Impacts phase velocity?

Hey everyone, I'm trying to measure the stray capacitance in a circuit comprised of an rf signal generator, an oscilloscope, a coaxial cable (short-circuited) and some capacitors. I measured the resonant frequencies of the coaxil cable for varying values of capacity (0pF to 850pF) between 4MHz...
14. M

### Question on corner and resonant frequencies

Homework Statement 1. An RC filter is constructed by modifying a voltage divider. The top resistor R1 = 3kOhms remains the same but the bottom resistor R2 is replaced by a capacitor C = 8nFarads. Determine the corner frequency fc for this filter in kHertz. 2. For an RLC circuit R = 12.4...
15. ### Resonant frequency of small particles

Hi How can find the resonant frequency of small objects like dust particles? What factors affect the resonant frequency? And is resonant frequency dependent on size? i.e. if the resonant frequency of 1 cm3 of glass is some certain value, would it be the same for a larger size?
16. ### Relating resonant frequency to electrical impedance

If a self oscillating electrical (passive) system is excited at two nodes A and B by a sinusoidal current, and if this system has one degree of freedom, then the response of the system is maximal at the resonance frequency. Quantitatively, this means that the ratio of the exciting complex...
17. ### Resonant frequency of Volatile organic compounds

Hello , could someone tell me ,where to find Resonant frequency of the chemical bond of the following Volatile organic compounds: Propene,Toluene,Benzene,Ethylbenzene. Thanks in advance .
18. ### Resonant Frequency and Transfer Functions

Suppose I have some sort of a filter, whose transfer function is given by H(w), where w is the angular frequency of the input signal in radians per second. I want to know the maximum value of the transfer function. If I solve for the resonant frequency w0, which from my understanding is the...
19. ### Find Resonant Frequency of Spring-Mass-Dashpot System

Homework Statement Consider the spring-mass-dashpot system driven by a sinusoidal force on the mass: (mD2+bD+k)x=F where sin(omega*t) Recall that for the unforced underdamped oscillator (b^2<4km, F=0), the value of the natural damped frequency omega_d=sqrt(k/m - b^2/(4m^2) Find the resonant...
20. ### Why Didn't Glass Break When Tone at 775.195 Hz Played?

I hit a glass and ran the sound though a FFT and I found the tone is 775.195 Hz. I then tried to play the tone out of my computer and this glass did not break. This is the equation I am using: Amplitude * Math.Sin(Math.PI * Frequency * n2 / 44100D) I set the Amplitude to 3 and the Frequency to...
21. ### What is the Resonant Frequency of a 2-Year Old's Outer Ear?

Homework Statement A 2-year old child has an outer ear length of approximately 1.7 cm (compared to 2.5 cmfor an adult). Find the resonant frequency of the outer ear of the average 2 year old b.Draw a diagram of the natural harmonic for the child’s ear. Homework Equations f=v/waveleng where...
22. ### Resonant frequency of Piezoelectric material

So i have a piezoelectric film deposited in the metal substrate and i want to determine the resonant frequency. Basically i can determine the resonant frequency base on the dimensions. But i need to proved it using experimental set-up. So i applied AC Voltage to the material then the material...
23. ### Vibrational frequency of Piezoelectric effect

when a piezoelectric material experience a stress it generates voltage, and also when you applied voltage the piezo-material experience a vibrational frequency. Using oscilloscope we can determine the induced frequency of the piezo-material with respect to the applied voltage. Now given the...
24. ### Resonant frequency in acoustics

Hi, A question popped into my mind which I've never thought of in 20 years of making music: when you hold a tuning fork against a simple resonator (a guitar body, a table, any object with some volume really), the resonator amplifies the tuning fork's sound and you hear the tuning pitch louder...
25. ### Can you use a tank circuit to produce an AC circuit?

Since the resonant frequency of a tank circuit, is completely adjustable, and controlled by the value inductor and capacitor you use, I was wondering if it had any other uses, other than increasing its impedance at its resonant frequency. Can if be used to produce ac signals of its resonant...
26. ### I Resonant Frequency of an Atom in an Atomic Clock

Beam standard atomic clocks work by changing the magnetic state of a cesium atom by applying a microwave frequency that matches the resonant frequency of a cesium atom. What is this resonant frequency of the atom in terms of actual events that occur on the atomic level...
27. ### The Tacoma Bridge Collapse was Not due to Resonant Frequency

An interesting article on the Tacoma Narrows Bridge collapse of 1940 shown to students of physics throughout the years as an example of the power of resonant frequencies. However, the explanation was much too simple to be true. Here's the real story...
28. ### Why LC tank only oscillates at resonant frequency?

I am wondering why LC tank only oscillates at resonant frequency not other frequencies? Is there a physics explanation for that?
29. M

### Why does vibration always cause air to vibrate with it?

When an object vibrates next to another object with the same resonant frequency it causes it to vibrate with it. Why is it that when an object vibrates, it always causes the surrounding air to vibrate with it?
30. ### Verdet Constant and optical pumping

While studying Faraday rotation (linear magneto-optic rotation) I came across a fact that faraday rotation can be enhanced. Verdet constant which depends on the wavelength can be enhanced as change in refractive index with change in wavelength is maximum near resonant light. Now if the incident...
31. ### Determine resonant frequency of an AC voltage source

Homework Statement Given a series RLC circuit, with one R, one L, and one C element, and an AC voltage source with variable frequency, find the resonant frequency experimentally given an ammeter and a voltmeter. Homework Equations The current in the circuit when the circuit is in resonance is...
32. ### A question about resonant frequency

hello, I'm a first year science undergrad, currently learning about mechanics and waves and so on there's this vine that's been going around, which shows someone playing a harp - here is the video in question; I personally find it quite beautiful and fascinating. Apparently the phenomena is...
33. ### Resonant Frequency shift of bimorph piezo structure

Hi, folk~ I fabricated bimorph piezoelectric shear stress sensors. When air flow applied, there were resonant frequency shifts to left side (decreasing) and impedance decrement in resonant frequency as well . So even though I am suspecting that kinds of results as because of damping effect...
34. ### Engineering Amplified Tuner Circuit, Finding Resonant Frequency

I am looking to find the resonant frequency of the amplified tuner circuit below The equation I have attempted to use is the f = 1/2*pi*√LC With the values for the inductance capacitance being 22pF and 47mH as I believe this is the tuner part of the circuit? The value I get by inserting these...
35. ### Setting up an LRC series circuit with coupled coils

Homework Statement I have been trying to set up an LRC series circuit where in place of an inductor we have a pair of coupled coils. My aim is to determine the resonant frequency in the circuit when the voltage across the resistor or the current in the circuit is at a maximum. I am using a...
36. ### Determining a specific frequency to make the ball bounce

So, here's the set-up: A small stereo speaker is connected to a function generator. A concave lens, bearing a ball is place over the speaker. Now, the frequency is slowly increased in the function generator. My question is, Will the ball really bounce at a certain frequency? Because I am not...
37. ### Is a resonant frequency any of the harmonics?

1. The problem statement,λ all variables and given/known data A drum skin is stretched over one end of a pipe, creating a resonant air column with one open end and one fixed end. How long must the pipe be to achieve a resonant frequency of 280.0 Hz? (Use 343 m/s for the speed of sound.)...
38. ### Helmholtz Resonator using voltmeter

Hi, I am trying to understand how precisely a voltmeter is used to measure the resonant frequency of a sound wave in a helmholtz resonator. Is it simply that the maximum voltage corresponds to the resonant frequency? A detailed description or external link would be great. Many thanks.
39. ### Resonant Frequency and speed of sound

1. Hollow tube chimes are made of metal and are open at each end. One chime is 0.54m long. -If the speed of sound is 346m/s, what is the frequency of sound produced by the third resonant length? -What would happen to the frequency of sound produced by the third resonant length if the chime...
40. ### Resonant frequency calculations for 'solid object' systems

Hi, thanks for stopping by :) This is for a big assignment (Yr 12). I asked my physics teacher this, but she couldn't give me a definite answer, and neither could my music teacher who previously studied physics, and then he messaged an engineer he knew, who hasn't replied yet... ~ Given...
41. ### Resonant frequency of a coaxial cable

What is the equation (and derivation of equation) to work out the resonant frequency of a coaxial cable? Given that the cable has a resistance, capacitance and inductance per meter which are known. Links and explanations are much appreciated Thanks :smile:
42. ### Engineering Resonant frequency of a circuit

Hello, I am working on this circuit to find the resonant frequency. I calculate 10^8 rad/s, but the solution says it's 10^4 rad/s. Here is my work. I just solved for the equivalent impedance, and then separated the j term and solved for the inside of the parenthesis to be equal to zero...
43. ### Damping Coefficient and Resonant Frequency of a 2nd order circuit

Hello, I am having major confusion for how to find the damping coefficient, α, and the resonance frequency, ωo, for a second order circuit, in general. I know that there are tables for standard circuits like a series RLC and parallel RLC giving those values, but I am certain that I need to know...
44. ### Series parallel LC tank circuit Resonant Frequency equation?

Hi How would I calculate a series-parallel LC circuit for resonance? I added up all the μH and pF for the equation, would that be correct? The inductors are in parallel, and the capacitors in series.
45. ### A question about damped resonant frequency

The standard equation for the damped angular frequency of a normal damped mass-spring system is ω_{d} = \sqrt{\frac{k}{m}-\frac{b^{2}}{4m^{2}}}. Let p=\frac{b}{2m}, we have ω_{d} =\sqrt{ω_{0}^{2}-p^{2}} Now consider that damped mass-spring system being driven by a periodic force with the...
46. ### Resonant frequency of this pendulum?

Hi everyone, I'm planning a simple experiment for my school, which involves fixing a mass M onto a rod of length L made of a copper alloy. Suppose I drive it capacitively, how do I find the resonant frequency of this simple oscillator? I need its resonant frequency to be about 400-500Hz, which...
47. ### Measuring air transformer at resonant frequency

Hi, I am in the process of trying to develop an air transformer but encountering unusual behaviour which I hope can be explained with some fundamental theory I don't yet know. My set up is as follows; - Two identical wound 13.3uH inductors designed to resonate at 4.364MHz. They are 10...
48. ### Finding the resonant frequency

Finding L and C for which there is only one resonant frequency in cct Homework Statement an inductor in series with a paralle of (a capacitor and a resistor) The inductor and resistor are fixed while C is variable Z = sL + R/(1+RsC) Find a value of L and C such that there is only one...
49. ### Resonant Frequency of Open Ended Pipes with a Barrier Imposed

I was just wondering if anyone here had any experience with an open pipe system with a barrier imposed. Basically, say for a pipe open at both ends, at one end we place a barrier a distance away from the pipe. How would this affect the resonant frequency of the pipe? From experimentation...
50. ### What happens to the resonant frequency of a wine glass as you fill it

As you fill a wine glass with water, how does the resonant frequency change? Surely it should increase? i did an experiment and it decreased? I am so confused!? Why does this happen?