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Acoustical Physics: Understanding the Science of Sound - Prof. Robert H. Magruder, Study notes of Physics

An introduction to the field of acoustical physics, focusing on the operational understanding of sound, its causes, and its perception. The definitions of sound, sound waves, and the auditory response of the ear, as well as the concepts of pitch and loudness. It also touches upon the importance of vibrations and simple harmonic oscillators in the production of sound and music.

Typology: Study notes

Pre 2010

Uploaded on 12/12/2009

absentvirtue
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Introduction
Acoustical Physics
Physics 1100
As you go through this course please keep in mind the following.
1. This is a physics course and not a music course.
2. You are not expected to have had physics before or any background except
algebra. Topics will be developed and discussed as needed.
3. In this introduction there may be terms and concepts you have not heard before.
That is okay. We will study these concepts and terms as they are needed. You are
not expected to understand them at this point.
4. Sound and perception of sound is a very broad and complex field. In large part
this is due to our interpretation of sound based on individual likes, dislikes, ability
to hear, as well as cultural, social and psychological aspects.
5. You will need to study outside of class or lab. The content modules go well
beyond what is given in the book.
6. Different authors and practicing “sound” industry people can use different terms
to mean different things. Physicists may use variations in definitions from audio
engineers.
7. Stay current with the material.
Sound
The first thing that needs to be addressed is an operational understanding of sound. To
do this we must first consider that there are three descriptions of sound used that are
related but at times are used in different contexts and have different meanings.
1. Sound
2. Sound waves
3. Auditory response of the ear
Sound itself is the presence of small rapid changes in air pressure. These rapid changes
are in general have a frequency or pitch and consequentially are of a sinusoidal nature.
While we have not defined sinusoidal at this point we can note that it implies that these
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Introduction Acoustical Physics Physics 1100 As you go through this course please keep in mind the following.

**1. This is a physics course and not a music course.

  1. You are not expected to have had physics before or any background except algebra. Topics will be developed and discussed as needed.
  2. In this introduction there may be terms and concepts you have not heard before. That is okay. We will study these concepts and terms as they are needed. You are not expected to understand them at this point.
  3. Sound and perception of sound is a very broad and complex field. In large part this is due to our interpretation of sound based on individual likes, dislikes, ability to hear, as well as cultural, social and psychological aspects.
  4. You will need to study outside of class or lab. The content modules go well beyond what is given in the book.
  5. Different authors and practicing “sound” industry people can use different terms to mean different things. Physicists may use variations in definitions from audio engineers.
  6. Stay current with the material.** Sound The first thing that needs to be addressed is an operational understanding of sound. To do this we must first consider that there are three descriptions of sound used that are related but at times are used in different contexts and have different meanings.
    1. Sound
    2. Sound waves
    3. Auditory response of the ear Sound itself is the presence of small rapid changes in air pressure. These rapid changes are in general have a frequency or pitch and consequentially are of a sinusoidal nature. While we have not defined sinusoidal at this point we can note that it implies that these

changes are formed by vibrations of some object or system. For these pressure changes to be considered as sound they are in a specific frequency range. Note sound has frequency and is in general created by vibrating systems. These are two crucial facts that will dictate some of the topics we will discuss. Change in air pressure itself is not necessarily sound. For example changes in air pressure with the weather changes are not sound. We do not hear a high pressure roll in but we do hear thunder. The key is vibrations and frequency which will take up shortly. To sum up what he is trying to say: Sound can be defined as vibrations through an elastic medium with frequencies ranging from around 20 Hz to 20,000 Hz (The audible range of frequencies in the human ear). Sound waves are the method by which sound propagates through a medium and transfers energy without the transfer of matter. Again by the connection to wave a sinusoidal nature is implied. In general we expect the sound waves to have frequency and the waves to be created by a vibrating system with the same frequency. The auditory response of the ear is the bio-physical process by which sound is “heard”. This process includes not only the sensor, the ear, but also the brain and the interconnecting nervous system. This response involves a great deal of perception and interpretation both active and passive by the individual. The area that deals with this is referred to as psychoacoustics. As we move through this course we will deal with all three of these descriptions. What causes sound: We have said that sound is changes in air pressure and it is a wave. It is a particular type of wave, a longitudinal wave. The meaning of longitudinal will be addressed in a future module. We want to focus here on what causes these pressure variations in air or other medium. A lot of things can cause pressure changes, for example a flute or firecracker can produce pressure changes that can be sensed as sound. In principle anything that causes air to vibrate in the correct frequency range can cause sound. There is a key word

quantity Measurable quantity intensity frequency Pitch and loudness can be affected by the intensity and frequency of sound as well as the presence of other sounds. Common examples of these effects are the formation of beats, masking effects, echoes and the Doppler Effect. Many more exist. The harmonics present in a musical note can greatly affect our perception of the sound that is present. We will study these effects during the semester. While we may all disagree as to what constitutes “music”, notes are produced by specific kinds of physical systems called simple harmonic oscillators(SHOs). Understanding the physical principles behind these kinds of systems is crucial to understanding the formation of musical notes and sound in general. Moreover we can use this information to learn why different artist techniques produce different sounds on the exact same instrument. Now while we may have established some operational definitions or unfinished descriptions a great amount of detail has been left out. This course proposes to do three things or 3 objectives.

  1. Fill in the details of our operational descriptions
  2. Explore the physics related to these operational definitions and
  3. Answer several questions a. How does sound effect my life? b. What is it about sound that greatly enriches my life sometimes and why sometimes but not always? c. Why does the perception/enjoyment of sound depend on the surroundings? d. How do instruments work in a broad sense?

The first thing we must start with is the basic fundamental physics necessary to pursue the three objectives listed above.