1 Fundamentals of Acoustics
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Db Math Marco Zennaro Ermanno Pietrosemoli Goals
dB Math Marco Zennaro Ermanno Pietrosemoli Goals ‣ Electromagnetic waves carry power measured in milliwatts. ‣ Decibels (dB) use a relative logarithmic relationship to reduce multiplication to simple addition. ‣ You can simplify common radio calculations by using dBm instead of mW, and dB to represent variations of power. ‣ It is simpler to solve radio calculations in your head by using dB. 2 Power ‣ Any electromagnetic wave carries energy - we can feel that when we enjoy (or suffer from) the warmth of the sun. The amount of energy received in a certain amount of time is called power. ‣ The electric field is measured in V/m (volts per meter), the power contained within it is proportional to the square of the electric field: 2 P ~ E ‣ The unit of power is the watt (W). For wireless work, the milliwatt (mW) is usually a more convenient unit. 3 Gain and Loss ‣ If the amplitude of an electromagnetic wave increases, its power increases. This increase in power is called a gain. ‣ If the amplitude decreases, its power decreases. This decrease in power is called a loss. ‣ When designing communication links, you try to maximize the gains while minimizing any losses. 4 Intro to dB ‣ Decibels are a relative measurement unit unlike the absolute measurement of milliwatts. ‣ The decibel (dB) is 10 times the decimal logarithm of the ratio between two values of a variable. The calculation of decibels uses a logarithm to allow very large or very small relations to be represented with a conveniently small number. ‣ On the logarithmic scale, the reference cannot be zero because the log of zero does not exist! 5 Why do we use dB? ‣ Power does not fade in a linear manner, but inversely as the square of the distance. -
Lab 12. Vibrating Strings
Lab 12. Vibrating Strings Goals • To experimentally determine the relationships between the fundamental resonant frequency of a vibrating string and its length, its mass per unit length, and the tension in the string. • To introduce a useful graphical method for testing whether the quantities x and y are related by a “simple power function” of the form y = axn. If so, the constants a and n can be determined from the graph. • To experimentally determine the relationship between resonant frequencies and higher order “mode” numbers. • To develop one general relationship/equation that relates the resonant frequency of a string to the four parameters: length, mass per unit length, tension, and mode number. Introduction Vibrating strings are part of our common experience. Which as you may have learned by now means that you have built up explanations in your subconscious about how they work, and that those explanations are sometimes self-contradictory, and rarely entirely correct. Musical instruments from all around the world employ vibrating strings to make musical sounds. Anyone who plays such an instrument knows that changing the tension in the string changes the pitch, which in physics terms means changing the resonant frequency of vibration. Similarly, changing the thickness (and thus the mass) of the string also affects its sound (frequency). String length must also have some effect, since a bass violin is much bigger than a normal violin and sounds much different. The interplay between these factors is explored in this laboratory experi- ment. You do not need to know physics to understand how instruments work. In fact, in the course of this lab alone you will engage with material which entire PhDs in music theory have been written. -
A Comparison Study of Normal-Incidence Acoustic Impedance Measurements of a Perforate Liner
A Comparison Study of Normal-Incidence Acoustic Impedance Measurements of a Perforate Liner Todd Schultz1 The Mathworks, Inc, Natick, MA 01760 Fei Liu,2 Louis Cattafesta, Mark Sheplak3 University of Florida, Gainesville, FL 32611 and Michael Jones4 NASA Langley Research Center, Hampton, VA 23681 The eduction of the acoustic impedance for liner configurations is fundamental to the reduction of noise from modern jet engines. Ultimately, this property must be measured accurately for use in analytical and numerical propagation models of aircraft engine noise. Thus any standardized measurement techniques must be validated by providing reliable and consistent results for different facilities and sample sizes. This paper compares normal- incidence acoustic impedance measurements using the two-microphone method of ten nominally identical individual liner samples from two facilities, namely 50.8 mm and 25.4 mm square waveguides at NASA Langley Research Center and the University of Florida, respectively. The liner chosen for this investigation is a simple single-degree-of-freedom perforate liner with resonance and anti-resonance frequencies near 1.1 kHz and 2.2 kHz, respectively. The results show that the ten measurements have the most variation around the anti-resonance frequency, where statistically significant differences exist between the averaged results from the two facilities. However, the sample-to-sample variation is comparable in magnitude to the predicted cross-sectional area-dependent cavity dissipation differences between facilities, providing evidence that the size of the present samples does not significantly influence the results away from anti-resonance. I. Introduction ODERN turbofan engines rely on acoustic liners to suppress engine noise and meet community noise Mstandards. -
10 - Pathways to Harmony, Chapter 1
Pathways to Harmony, Chapter 1. The Keyboard and Treble Clef Chapter 2. Bass Clef In this chapter you will: 1.Write bass clefs 2. Write some low notes 3. Match low notes on the keyboard with notes on the staff 4. Write eighth notes 5. Identify notes on ledger lines 6. Identify sharps and flats on the keyboard 7.Write sharps and flats on the staff 8. Write enharmonic equivalents date: 2.1 Write bass clefs • The symbol at the beginning of the above staff, , is an F or bass clef. • The F or bass clef says that the fourth line of the staff is the F below the piano’s middle C. This clef is used to write low notes. DRAW five bass clefs. After each clef, which itself includes two dots, put another dot on the F line. © Gilbert DeBenedetti - 10 - www.gmajormusictheory.org Pathways to Harmony, Chapter 1. The Keyboard and Treble Clef 2.2 Write some low notes •The notes on the spaces of a staff with bass clef starting from the bottom space are: A, C, E and G as in All Cows Eat Grass. •The notes on the lines of a staff with bass clef starting from the bottom line are: G, B, D, F and A as in Good Boys Do Fine Always. 1. IDENTIFY the notes in the song “This Old Man.” PLAY it. 2. WRITE the notes and bass clefs for the song, “Go Tell Aunt Rhodie” Q = quarter note H = half note W = whole note © Gilbert DeBenedetti - 11 - www.gmajormusictheory.org Pathways to Harmony, Chapter 1. -
Use of Scale Modeling for Architectural Acoustic Measurements
Gazi University Journal of Science Part B: Art, Humanities, Design And Planning GU J Sci Part:B 1(3):49-56 (2013) Use of Scale Modeling for Architectural Acoustic Measurements Ferhat ERÖZ 1,♠ 1 Atılım University, Department of Interior Architecture & Environmental Design Received: 09.07.2013 Accepted:01.10.2013 ABSTRACT In recent years, acoustic science and hearing has become important. Acoustic design tests used in acoustic devices is crucial. Sound propagation is a complex subject, especially inside enclosed spaces. From the 19th century on, the acoustic measurements and tests were carried out using modeling techniques that are based on room acoustic measurement parameters. In this study, the effects of architectural acoustic design of modeling techniques and acoustic parameters were investigated. In this context, the relationships and comparisons between physical, scale, and computer models were examined. Key words: Acoustic Modeling Techniques, Acoustics Project Design, Acoustic Parameters, Acoustic Measurement Techniques, Cavity Resonator. 1. INTRODUCTION (1877) “Theory of Sound”, acoustics was born as a science [1]. In the 20th century, especially in the second half, sound and noise concepts gained vast importance due to both A scientific context began to take shape with the technological and social advancements. As a result of theoretical sound studies of Prof. Wallace C. Sabine, these advancements, acoustic design, which falls in the who laid the foundations of architectural acoustics, science of acoustics, and the use of methods that are between 1898 and 1905. Modern acoustics started with related to the investigation of acoustic measurements, studies that were conducted by Sabine and auditory became important. Therefore, the science of acoustics quality was related to measurable and calculable gains more and more important every day. -
Acoustics & Ultrasonics
Dr.R.Vasuki Associate professor & Head Department of Physics Thiagarajar College of Engineering Madurai-625015 Science of sound that deals with origin, propagation and auditory sensation of sound. Sound production Propagation by human beings/machines Reception Classification of Sound waves Infrasonic audible ultrasonic Inaudible Inaudible < 20 Hz 20 Hz to 20,000 Hz ˃20,000 Hz Music – The sound which produces rhythmic sensation on the ears Noise-The sound which produces jarring & unpleasant effect To differentiate sound & noise Regularity of vibration Degree of damping Ability of ear to recognize the components Sound is a form of energy Sound is produced by the vibration of the body Sound requires a material medium for its propagation. When sound is conveyed from one medium to another medium there is no bodily motion of the medium Sound can be transmitted through solids, liquids and gases. Velocity of sound is higher in solids and lower in gases. Sound travels with velocity less than the velocity 8 of light. c= 3x 10 V0 =330 m/s at 0° degree Lightning comes first than thunder VT= V0+0.6 T Sound may be reflected, refracted or scattered. It undergoes diffraction and interference. Pitch or frequency Quality or timbre Intensity or Loudness Pitch is defined as the no of vibrations/sec. Frequency is a physical quantity but pitch is a physiological quantity. Mosquito- high pitch Lion- low pitch Quality or timbre is the one which helps to distinguish between the musical notes emitted by the different instruments or voices even though they have the same pitch. Intensity or loudness It is the average rate of flow of acoustic energy (Q) per unit area(A) situated normally to the direction of propagation of sound waves. -
Acoustic Textiles - the Case of Wall Panels for Home Environment
Acoustic Textiles - The case of wall panels for home environment Bachelor Thesis Work Bachelor of Science in Engineering in Textile Technology Spring 2013 The Swedish school of Textiles, Borås, Sweden Report number: 2013.2.4 Written by: Louise Wintzell, Ti10, [email protected] Abstract Noise has become an increasing public health problem and has become serious environment pollution in our daily life. This indicates that it is in time to control and reduce noise from traffic and installations in homes and houses. Today a plethora of products are available for business, but none for the private market. The project describes a start up of development of a sound absorbing wall panel for the private market. It will examine whether it is possible to make a wall panel that can lower the sound pressure level with 3 dB, or reach 0.3 s in reverberation time, in a normally furnished bedroom and still follow the demands of price and environmental awareness. To start the project a limitation was made to use the textiles available per meter within the range of IKEA. The test were made according to applicable standards and calculation of reverberation time and sound pressure level using Sabine’s formula and a formula for sound pressure equals sound effect. During the project, tests were made whether it was possible to achieve a sound classification C on a A-E grade scale according to ISO 11654, where A is the best, with only textiles or if a classic sound absorbing mineral wool had to be used. To reach a sound classification C, a weighted sound absorption coefficient (αw) of 0.6 as a minimum must be reached. -
Psychoacoustics Perception of Normal and Impaired Hearing with Audiology Applications Editor-In-Chief for Audiology Brad A
PSYCHOACOUSTICS Perception of Normal and Impaired Hearing with Audiology Applications Editor-in-Chief for Audiology Brad A. Stach, PhD PSYCHOACOUSTICS Perception of Normal and Impaired Hearing with Audiology Applications Jennifer J. Lentz, PhD 5521 Ruffin Road San Diego, CA 92123 e-mail: [email protected] Website: http://www.pluralpublishing.com Copyright © 2020 by Plural Publishing, Inc. Typeset in 11/13 Adobe Garamond by Flanagan’s Publishing Services, Inc. Printed in the United States of America by McNaughton & Gunn, Inc. All rights, including that of translation, reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, recording, or otherwise, including photocopying, recording, taping, Web distribution, or information storage and retrieval systems without the prior written consent of the publisher. For permission to use material from this text, contact us by Telephone: (866) 758-7251 Fax: (888) 758-7255 e-mail: [email protected] Every attempt has been made to contact the copyright holders for material originally printed in another source. If any have been inadvertently overlooked, the publishers will gladly make the necessary arrangements at the first opportunity. Library of Congress Cataloging-in-Publication Data Names: Lentz, Jennifer J., author. Title: Psychoacoustics : perception of normal and impaired hearing with audiology applications / Jennifer J. Lentz. Description: San Diego, CA : Plural Publishing, -
Physics of Ultrasound TI Precision Labs – Ultrasonic Sensing
Physics of Ultrasound TI Precision Labs – Ultrasonic Sensing Presented by Akeem Whitehead Prepared by Akeem Whitehead Definition of Ultrasound Sound Frequency Spectrum Ultrasound is defined as: • sound waves with a frequency above the upper limit of human hearing at -destructive testing EarthquakeVolcano Human hearing Animal hearingAutomotiveWater park level assist sensingLiquid IdentificationMedical diagnosticsNon Acoustic microscopy 20kHz. • having physical properties that are 0 20 200 2k 20k 200k 2M 20M 200M identical to audible sound. • a frequency some animals use for Infrasound Audible Ultrasound navigation and echo location. This content will focus on ultrasonic systems that use transducers operating between 20kHz up to several GHz. >20kHz 2 Acoustics of Ultrasound When ultrasound is a stimulus: When ultrasound is a sensation: Generates and Emits Ultrasound Wave Detects and Responds to Ultrasound Wave 3 Sound Propagation Ultrasound propagates as: • longitudinal waves in air, water, plasma Particles at Rest • transverse waves in solids The transducer’s vibrating diaphragm is the source of the ultrasonic wave. As the source vibrates, the vibrations propagate away at the speed of sound to Longitudinal Wave form a measureable ultrasonic wave. Direction of Particle Motion Direction of The particles of the medium only transport the vibration is Parallel Wave Propagation of the ultrasonic wave, but do not travel with the wave. The medium can cause waves to be reflected, refracted, or attenuated over time. Transverse Wave An ultrasonic wave cannot travel through a vacuum. Direction of Particle Motion λ is Perpendicular 4 Acoustic Properties 100 90 Ultrasonic propagation is affected by: 80 1. Relationship between density, pressure, and temperature 70 to determine the speed of sound. -
Decibels, Phons, and Sones
Decibels, Phons, and Sones The rate at which sound energy reaches a Table 1: deciBel Ratings of Several Sounds given cross-sectional area is known as the Sound Source Intensity deciBel sound intensity. There is an abnormally Weakest Sound Heard 1 x 10-12 W/m2 0.0 large range of intensities over which Rustling Leaves 1 x 10-11 W/m2 10.0 humans can hear. Given the large range, it Quiet Library 1 x 10-9 W/m2 30.0 is common to express the sound intensity Average Home 1 x 10-7 W/m2 50.0 using a logarithmic scale known as the Normal Conversation 1 x 10-6 W/m2 60.0 decibel scale. By measuring the intensity -4 2 level of a given sound with a meter, the Phone Dial Tone 1 x 10 W/m 80.0 -3 2 deciBel rating can be determined. Truck Traffic 1 x 10 W/m 90.0 Intensity values and decibel ratings for Chainsaw, 1 m away 1 x 10-1 W/m2 110.0 several sound sources listed in Table 1. The decibel scale and the intensity values it is based on is an objective measure of a sound. While intensities and deciBels (dB) are measurable, the loudness of a sound is subjective. Sound loudness varies from person to person. Furthermore, sounds with equal intensities but different frequencies are perceived by the same person to have unequal loudness. For instance, a 60 dB sound with a frequency of 1000 Hz sounds louder than a 60 dB sound with a frequency of 500 Hz. -
The Physics of Sound 1
The Physics of Sound 1 The Physics of Sound Sound lies at the very center of speech communication. A sound wave is both the end product of the speech production mechanism and the primary source of raw material used by the listener to recover the speaker's message. Because of the central role played by sound in speech communication, it is important to have a good understanding of how sound is produced, modified, and measured. The purpose of this chapter will be to review some basic principles underlying the physics of sound, with a particular focus on two ideas that play an especially important role in both speech and hearing: the concept of the spectrum and acoustic filtering. The speech production mechanism is a kind of assembly line that operates by generating some relatively simple sounds consisting of various combinations of buzzes, hisses, and pops, and then filtering those sounds by making a number of fine adjustments to the tongue, lips, jaw, soft palate, and other articulators. We will also see that a crucial step at the receiving end occurs when the ear breaks this complex sound into its individual frequency components in much the same way that a prism breaks white light into components of different optical frequencies. Before getting into these ideas it is first necessary to cover the basic principles of vibration and sound propagation. Sound and Vibration A sound wave is an air pressure disturbance that results from vibration. The vibration can come from a tuning fork, a guitar string, the column of air in an organ pipe, the head (or rim) of a snare drum, steam escaping from a radiator, the reed on a clarinet, the diaphragm of a loudspeaker, the vocal cords, or virtually anything that vibrates in a frequency range that is audible to a listener (roughly 20 to 20,000 cycles per second for humans). -
Paul Hertz Astrophysics Subcommittee
Paul Hertz Astrophysics Subcommittee February 23, 2012 Agenda • Science Highlights • Organizational Changes • Program Update • President’s FY13 Budget Request • Addressing Decadal Survey Priorities 2 Chandra Finds Milky Way’s Black Hole Grazing on Asteroids • The giant black hole at the center of the Milky Way may be vaporizing and devouring asteroids, which could explain the frequent flares observed, according to astronomers using data from NASA's Chandra X-ray Observatory. For several years Chandra has detected X-ray flares about once a day from the supermassive black hole known as Sagittarius A*, or "Sgr A*" for short. The flares last a few hours with brightness ranging from a few times to nearly one hundred times that of the black hole's regular output. The flares also have been seen in infrared data from ESO's Very Large Telescope in Chile. • Scientists suggest there is a cloud around Sgr A* containing trillions of asteroids and comets, stripped from their parent stars. Asteroids passing within about 100 million miles of the black hole, roughly the distance between the Earth and the sun, would be torn into pieces by the tidal forces from the black hole. • These fragments then would be vaporized by friction as they pass through the hot, thin gas flowing onto Sgr A*, similar to a meteor heating up and glowing as it falls through Earth's atmosphere. A flare is produced and the remains of the asteroid are eventually swallowed by the black hole. • The authors estimate that it would take asteroids larger than about six miles in radius to generate the flares observed by Chandra.