What is Fundamental frequency: Definition and 88 Discussions
The fundamental frequency, often referred to simply as the fundamental, is defined as the lowest frequency of a periodic waveform. In music, the fundamental is the musical pitch of a note that is perceived as the lowest partial present. In terms of a superposition of sinusoids, the fundamental frequency is the lowest frequency sinusoidal in the sum of harmonically related frequencies, or the frequency of the difference between adjacent frequencies. In some contexts, the fundamental is usually abbreviated as f0, indicating the lowest frequency counting from zero. In other contexts, it is more common to abbreviate it as f1, the first harmonic. (The second harmonic is then f2 = 2⋅f1, etc. In this context, the zeroth harmonic would be 0 Hz.)
According to Benward's and Saker's Music: In Theory and Practice:
Since the fundamental is the lowest frequency and is also perceived as the loudest, the ear identifies it as the specific pitch of the musical tone [harmonic spectrum].... The individual partials are not heard separately but are blended together by the ear into a single tone.
What property of a sinusoid makes it so special? I understand Fourier analysis, but really you could do Fourier using any periodic function as the building block.
Sinusoids really do seem to be fundamental though, if you narrow the pass band of a filter with any random signal you will get a...
This problem came from Problems, Section 3 Chapter 7 in ML Boas, Mathematical Methods in Physical Sciences. Boas suggested to make a computer plot. From my computer plot (I use online graphing calculator) and find that the period of the sum is 2.
Instead of using computer, I want to find the...
I designed a parametric CAD model of a whistle that can be 3D printed. Basically I designed the internal airspaces, put a skin around it, and printed it. Combine two of these in the same enclosing body, with slightly different frequencies, and you get a warbling sound similar to a pea whistle...
For a wave A sin ( kx - ωt) and a wave A sin ( kx + ωt) traveling opposite to each other, on evaluating by applying superposition principle , the resultant displacement function is 2A sin ( kx ) cos (ωt) . For different Node Anti-node configurations we calculate natural frequencies of the...
Homework Statement
An organ pipe 1.2m long and open at both ends produces a note with the fundamental frequency. If the speed of sound in air is 345 m/s, what is the fundamental frequency?
Homework Equations
Wave equation (f = v/lambda)
The Attempt at a Solution
My textbook solves the problem...
Homework Statement
A stretched wire vibrates in its first normal mode at a frequency of 369Hz. What would be the fundamental frequency if the wire were one third as long, its diameter were tripled, and its tension were increased two-fold? Homework Equations
f = 1/2L * squareroot(Ft/u)
The...
The length of a string is 1328 cm. It is held fixed at each end. The string vibrates in eight sections; i.e., the string has eight antinodes, and the string vibrates at 97 Hz.
Find the wavelength and fundamental frequency.
I have no clue, anything helps! Thank you!
I'm doing an experiment measuring the relationship between length of a cantilever beam and period of oscillation when I twang it on one end, but I can't seem to understand the equation. The equation for measuring frequency is given here:https://www.hindawi.com/journals/amse/2013/329530/
but I...
Suppose you periodically receive samples of a periodic waveform at fixed instances in time Δt. It is known ahead of time that the periodic waveform will have a fundamental frequency component of 50Hz or 60Hz, but perhaps with some higher order harmonics present.
What is the easiest way to go...
Homework Statement
Let
\begin{equation*}
f(t) = 2 + \cos\left( 3t - \frac{\pi}{6} \right) + \frac{1}{4}\cos\left( \frac{1}{2}t + \frac{\pi}{3} \right) + \sin^2(t)
\end{equation*}
Determine the period ##T## and fundamental frequency ##\omega_0## of ##f## and draw images of its amplitude and...
Homework Statement
A vibrating tuning fork of frequency 512 Hz is held over a water column with one end closed and the other open. As the water level is allowed to fall, a loud sound (resonance) is heard at specific water levels. Assume you start with the tube full of water, and begin steadily...
Homework Statement
The spoke of a wire wheel is 9.5 cm long, 3.5 mm in diameter, and under tension of 2100 N. The wire is made of steel of density 7860 kg/m3. When struck with a metal tool at its center, the spoke rings at its fundamental frequency. What is that frequency?
Homework Equations...
1. Homework Statement
The wire cable supporting the mast of a sailboat has a length of 12 m and a linear mass density of 350 g/m. When pushed sideways at its midpoint with a force of 160 N, the cable deflects by 9.5 cm. What is the frequency of the fundamental mode of vibrations on this...
Homework Statement
imgur link: http://i.imgur.com/0Zc8nQe.png
Homework Equations
Y-Delta transformations
The Attempt at a Solution
Since it's a proof, I can't check the answer in the back.
What I did: I transformed the three impedances in their delta config to a Y config, and my TI89...
Homework Statement
A rope has an end fixed and the other is passing through a pulley and has a body attached to it. The fondamental frequency of the rope is initially ##f_1=400 Hz##. If the body is then put in water the fondamental frequency of the rope becomes ##f_2=345 Hz##. If the linear...
Homework Statement
I understand how to find the resonant frequency of a closed pipe but when the thickness of the walls varies, the resonant frequency varies. Is there a formula that i can use to find the resonant frequency of a closed pipe given the length, temperature, speed of sound and...
Homework Statement
How can i find the fundamental frequency of a closed piep (measuring cylinder) experimentally/ physicaly. I have done the maths and found the frequency but i want another way to prove this other than simply playing the calculated frequency back at the measuring cylinder. I...
Homework Statement
A guitar player is plucking a strong of length 30cm. How fast must the player move towards or away from the stationary observer, in order for the observer to mistake the fundamental frequency for the second harmonic?
ANSWER: 2(Vsound) towards the observer
Homework...
I'm talking about equation 22,
Does anyone know how to derive this? It's Marin Mersenne's formula for fundamental frequency, but I'm perplexed as to how he derived it.
L would be the length, F would be force, and μ would be mass per unit length.
f is the frequency
Thanks
Homework Statement
The fundamental frequency of vibration of a particular string is f. What would the fundamental frequency be if the length of the string were to be halved and the tension in it were to be increased by a factor of 4?
Answer: 4 f
2. The attempt at a solution
We have f = f1...
Homework Statement
Homework EquationsThe Attempt at a Solution
if the material are the same in both strings, then the density should be the same.
v = sqrt (tension/μ)
tension in the first string should be 30 kg x 9.8 m/s^2 = 294 N
next,
v = λƒ
and string#2 needs to have twice the...
This is not a homework question per se, but rather something I have come across during a homework project. Using Audacity, I recorded a few different instruments playing the same notes (investigating timbre). I noticed that (using a steel string acoustic guitar) the first harmonic at 131 Hz...
Homework Statement
A guitr player changes the frequncy of the note produced by a guitar string by pressing his fingers along the string. The fundamental frequency of the string is 264hz. What are the frquncies of the fundamental note if the player plucked the string at 1/4 of the way from one...
Hi all. It's been a few years since I've posted here, but it's remained a great go-to resource for me.
Any time I have dealt with mechanical vibrations, the fundamental frequency was based on a constant stiffness. However, I have never encountered the subject of finding the fundamental...
Hi everyone, long time lurker, first time poster.
I've just begun a phd which involves nanoribbons (a small strip of a 2D material connected at either end to a larger 'bulk' section of the same 2D material). A question has occurred to me. These nanoribbons look a lot like a piece of string...
Homework Statement
a flexible wire is 80 cm long has a mass of 0.40g. It is stretched across stops on a sonometer that are 50 cm apart by a force of 500N. Find the fundamental frequency with which the wire may vibrate. If it vibrates in 2 third overtone, what is it's frequency?Homework...
Homework Statement
A longitudinal standing wave can be created in a long, thin aluminum rod by stroking the rod with very dry fingers. This is often done as a physics demonstration, creating a high-pitched, very annoying whine. From a wave perspective, the standing wave is equivalent to a...
The fundamental frequency of a uniform wire with an AC current of constant magnitude was found at various different tensions and a graph of (T1/2,l) was plotted (l was the length between the two nodes of the wire when the fundamental frequency was found). How would the data on the graph...
Homework Statement
Estimate the fundamental frequency of resonance sound induced by blowing on the open end of a half liter bottle
Homework Equations
f= 1c/4L
The Attempt at a Solution
i don't know the length of L,
what's half liter bottle ..? What does it tell you? 2 x f1?
Dears,
I have an vacuum pump creating the vacuum approximately 10^-8 mbar. The rotor consists blades and it's placed in bearings. One side is ceramic bearing and the other one is maglev type(magnetic). I measure noise and vibrations of the pump. Significant peak of both units is naturally at...
Homework Statement
Standing waves on a 1.3 m long string that is fixed at both ends are seen as successive frequencies of 24Hz and 48 Hz. What is the fundamental frequency?
Homework Equations
fo = nv/4L
The Attempt at a Solution
Okay, so I don't really know if that is the right...
Homework Statement
Two organ pipes, open at one end but closed at the other, are each 1.18 m long. One is now lengthened by 2.50 cm
Homework Equations
λ = nL/4
fn = nv/4L
v = λF
The Attempt at a Solution
Here's what I tried
First I tried finding the fundamental frequency...
Homework Statement
A 90 cm long steel string with a linear density of 1.1g/m is under 200N tension. It is plucked and vibrates at its fundamental frequency. What is the wavelength of the sound wave that reaches your ear in a 20 degree C room?
Homework Equations
f = 1/2L * sqrt T/mu
v...
Homework Statement
The fundamental frequency of a stretched string is 200Hz. when the length of the string is doubled and Tension of the string made 100times the initial Tension, what is the new fundamental frequency of the string.
(1) 50 Hz (2) 100 Hz (3) 200Hz (4) 400 Hz (5) 800 Hz...
No idea what to do here, really tough question, can i get some assistance please?
Homework Statement
The equation of a traveling transverse wave is
y=2.0sin 2π(x/30 - t/0.01)
where x and y are in centimetres and t is in seconds.
When attached at both ends, a string under a tension...
Homework Statement
Two open tubes both have actual length 1m but their diameters are D=1 cm and D=10 cm. Alowing fro end corrections, what are their fundamental frequencies?
Homework Equations
the only equation in my book that deals with Diamter is N(Critical...
Homework Statement
Shown in Picture attachment
Question number 6
Homework Equations
Not sure..I'm fresh on physics at the moment.. :(
The Attempt at a Solution
Givens
T1 = 250N
T2 = 160N
L1 = 45cm
L2 = 56cm
f1 = 450Hz
f2 = ?
I'm pretty clueless at the moment.. :(
Confused! -- Max frequency versus fundamental frequency
Hello
I understand the following question is very silly, however I am not sure about the answer.
Let's consider we are saying there is a signal with a frequency of 4 Hz (for example). In such a statement, does it mean the maximum...
The fundamental frequency of a spring that is 25 cm long is 441 Hz. In order to produce a fundamental frequency, using the same spring of 525 Hz, the string must be shortened to what length?
I'm honestly not even sure how to start this question. Please help :(
Homework Statement
Calculate the fundamental frequency of a steel rod of length 2.00 m. What is the next possible standing wave frequency of this rod? Where should the rod be clamped to excite a standing wave of this frequency?
Homework Equations
Fn=nv/2L
The Attempt at a Solution
since the...
Homework Statement
Determine fundamental frequency of a vibrating string if two successive harmonics of the string are 180hz and 270hz
Homework Equations
f=1/t
t=1/f
The Attempt at a Solution
I want to say its just f=1/t for both of them but it seems to easy?no?
Homework Statement
A standing wave is established in a string of length 150 cm fixed at both ends. The string vibrates in four segments when driven at 140 Hz.
Find the wavelength in meters.
Find the fundamental frequency.
Homework Equations
L = Nλ
v = fλ
The Attempt at a...
Homework Statement
The fundamental frequency of a vibrating stretched string of length 1.0m is 256Hz.When the string is shortened to 0.4m with the same tension,the fundamental frequency now become
how many Hz?
Homework Equations
The Attempt at a Solution
Homework Statement
A very tall pipe is partially filled as shown. (A vertical pipe is filled with water about halfway, and .85m of air is in the pipe to the open end. The bottom is closed).
|**| ^
|**| |
|**| .85m
|__| _|_
|__|
|__|
|__|
|__|
|__|
^^ My attempt at a drawing, where...
Fundamental Frequency (String Resonance) - velocity problem!
Homework Statement
Hey guys, i just started working on Fundamental Frequency but am getting confused!
A string that is 6.0m long is vibrating with three loops in it. The frequency of the source is 16.5Hz.
A)What is the...
Homework Statement
When a 70kg aluminum (density = 2.7 g/cm3) sculpture is hung from a steel wire, the fundamental frequency for transverse standing waves on the wire is 250.0 Hz. The sculpture (but not the wire) is then completely submerged in water. What is the new fundamental frequency...