## Amplitude and frequency

Contents

- Amplitude and frequency
- How is the amplitude represented?
- How is the amplitude of a wave determined?
- What is amplitude and time?
- What are the units of amplitude
- What is amplitude and frequency?
- What is the amplitude of the oscillation?
- What is the frequency and what is the amplitude of a sinusoidal signal?
- Wavelength
- What is amplitude in physics?
- What is breadth in statistics?
- What is the amplitude of a Pendulum?
- Sound amplitude

When the source that produces the disturbance describes a simple harmonic motion, the generated wave is called harmonic wave. Many physical phenomena can be described by these waves, and any wave motion can be expressed as a superposition of harmonic waves (Fourier’s Theorem).

Suppose an infinite string on which one of its ends is forced to perform a simple harmonic motion of amplitude A and frequency f or ν. Its vertical displacement (y) will be (in the absence of the phase constant):

Each of the generated wave pulses propagates down the string continuously producing a harmonic wave of the same amplitude and of the same frequency. At a given instant of time (t0) the string would have this shape:

## How is the amplitude represented?

The wave amplitude can be seen in a graph with a sinusoid curve in Cartesian coordinates. If we take the X-axis as the midpoint, the wave amplitude will be given by the space between the highest point on the Y-axis touching the sinusoid and the X-axis.

## How is the amplitude of a wave determined?

For a wave traveling along the x-axis the mathematical description of the amplitude (magnitude) of the wave at a position x at an instant t can be written as a function y(x,t) = A sin (k x – ω t + φ) where A is the maximum amplitude (maximum height measured from the center of the wave).

## What is amplitude and time?

Amplitude: the distance from the center of the motion to either end. Period: the amount of time it takes for a complete cycle of motion.

### What are the units of amplitude

My idea is to write a series of basic articles on sound and audio theory, which in principle will not be necessary to read sequentially. If in some occasion to understand one of these articles it would be necessary to read another one, I will indicate it by means of links. I hope to be able to present in a clear and concise way more or less complex concepts so that they can be understood by people without extensive knowledge of physics or mathematics. My intention is merely informative, and if it serves you as a first step to make a more in-depth exploration of some of the concepts we will deal with or as a short text to refresh your memory, then I will have fulfilled more functions than I originally had in mind.

In figure 1 you can see the graphical representation of a sine wave. Actually it is just the two-dimensional drawing of how the sine function varies at certain values of a variable (in our case time). Surely all this sounds like Greek to you, but it is easier than it seems. When you see any graph the first thing you should look at is what phenomenon it represents. If you look closely at the graph above, on the Y-axis we have the amplitude, while on the X-axis we have the time. Therefore it is easy to know that we are looking at the amplitude variation that occurs in a given time.

### What is amplitude and frequency?

The amplitude indicates the magnitude of the pressure variations. The higher this value is, the stronger the sound sensation we perceive. … Frequency indicates the speed of pressure variations per second and is measured in Hertz (Hz), which is the number of variations per second.

### What is the amplitude of the oscillation?

The maximum distance between the farthest point of a wave (or oscillation) and the equilibrium or midpoint is the amplitude of an oscillation.

### What is the frequency and what is the amplitude of a sinusoidal signal?

Cycle, period and frequency

For example in the figure of the sinusoidal signal, if we take as the value amplitude=0 as a start we see that the amplitude takes the value 0 just in the middle. … The period is the time it takes to produce a cycle and the frequency is the number of cycles that occur in one second.

### Wavelength

Class amplitudeThe amplitude that the classes under consideration must have in order to perform a statistical study. For n data with k classes it is determined that the class amplitude is equal to k/A. The class amplitude is the difference between the upper limit and the lower limit of the class interval.

The class width in statistics is the range of values that are possible to find in the class. This value is obtained by subtracting the upper value that can be found in the sample and the lower value: Class breadth – Date updated: 2018-12-03 – Date created: 2017-08-08.

### What is amplitude in physics?

In physics, the amplitude of an oscillatory motion, wave or electromagnetic signal is a measure of the maximum variation of displacement or other physical quantity that varies periodically or quasi-periodically in time. It is the distance between the farthest point of a wave and the equilibrium or midpoint.

### What is breadth in statistics?

The class width in statistics is the range of values that are possible to find in the class. This value is obtained by subtracting the upper value that can be found in the sample and the lower value. The breadth or length of a class is the number of values or variables that fall into a given class.

### What is the amplitude of a Pendulum?

The pendulum oscillates between two extreme positions q0 and -q0. We can calculate this amplitude by putting w =0 in the principle of conservation of energy. If the amplitude is small, the pendulum describes a Simple Harmonic Motion and the trajectory in phase space approximates an ellipse.

### Sound amplitude

When we are in a shopping mall, a discotheque or even a library, we can hear an infinite number of sounds intermingling in the environment. Sound plays a very important role in our daily life and thanks to it we can navigate in our environment and communicate.

The sound we perceive around us is nothing more than energy produced by vibration that travels through the air or any other medium and can be received and heard when it reaches a person’s ear.

The time required to produce a complete wave or cycle or cycle is called the time period of the wave. Now, a complete wave is produced by a complete vibration of the vibrating body. So, we can say that the time required to complete a vibration is known as time period. It is denoted by the letter T. The unit of measurement of the time period is the second (s).

This is the characteristic of sound that tells us the difference between a loud sound and a soft sound. It depends on the wave amplitude, the distance between the points of greatest vibration and the rest of the object. It is measured in units called decibels.