Hearing and Noise in Aviation
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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. -
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. -
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. -
Guide for the Use of the International System of Units (SI)
Guide for the Use of the International System of Units (SI) m kg s cd SI mol K A NIST Special Publication 811 2008 Edition Ambler Thompson and Barry N. Taylor NIST Special Publication 811 2008 Edition Guide for the Use of the International System of Units (SI) Ambler Thompson Technology Services and Barry N. Taylor Physics Laboratory National Institute of Standards and Technology Gaithersburg, MD 20899 (Supersedes NIST Special Publication 811, 1995 Edition, April 1995) March 2008 U.S. Department of Commerce Carlos M. Gutierrez, Secretary National Institute of Standards and Technology James M. Turner, Acting Director National Institute of Standards and Technology Special Publication 811, 2008 Edition (Supersedes NIST Special Publication 811, April 1995 Edition) Natl. Inst. Stand. Technol. Spec. Publ. 811, 2008 Ed., 85 pages (March 2008; 2nd printing November 2008) CODEN: NSPUE3 Note on 2nd printing: This 2nd printing dated November 2008 of NIST SP811 corrects a number of minor typographical errors present in the 1st printing dated March 2008. Guide for the Use of the International System of Units (SI) Preface The International System of Units, universally abbreviated SI (from the French Le Système International d’Unités), is the modern metric system of measurement. Long the dominant measurement system used in science, the SI is becoming the dominant measurement system used in international commerce. The Omnibus Trade and Competitiveness Act of August 1988 [Public Law (PL) 100-418] changed the name of the National Bureau of Standards (NBS) to the National Institute of Standards and Technology (NIST) and gave to NIST the added task of helping U.S. -
Electric and Magnetic Fields the Facts
PRODUCED BY ENERGY NETWORKS ASSOCIATION - JANUARY 2012 electric and magnetic fields the facts Electricity plays a central role in the quality of life we now enjoy. In particular, many of the dramatic improvements in health and well-being that we benefit from today could not have happened without a reliable and affordable electricity supply. Electric and magnetic fields (EMFs) are present wherever electricity is used, in the home or from the equipment that makes up the UK electricity system. But could electricity be bad for our health? Do these fields cause cancer or any other disease? These are important and serious questions which have been investigated in depth during the past three decades. Over £300 million has been spent investigating this issue around the world. Research still continues to seek greater clarity; however, the balance of scientific evidence to date suggests that EMFs do not cause disease. This guide, produced by the UK electricity industry, summarises the background to the EMF issue, explains the research undertaken with regard to health and discusses the conclusion reached. Electric and Magnetic Fields Electric and magnetic fields (EMFs) are produced both naturally and as a result of human activity. The earth has both a magnetic field (produced by currents deep inside the molten core of the planet) and an electric field (produced by electrical activity in the atmosphere, such as thunderstorms). Wherever electricity is used there will also be electric and magnetic fields. Electric and magnetic fields This is inherent in the laws of physics - we can modify the fields to some are inherent in the laws of extent, but if we are going to use electricity, then EMFs are inevitable. -
The Decibel Scale R.C
The Decibel Scale R.C. Maher Fall 2014 It is often convenient to compare two quantities in an audio system using a proportionality ratio. For example, if a linear amplifier produces 2 volts (V) output amplitude when its input amplitude is 100 millivolts (mV), the voltage gain is expressed as the ratio of output/input: 2V/100mV = 20. As long as the two quantities being compared have the same units--volts in this case--the proportionality ratio is dimensionless. If the proportionality ratios of interest end up being very large or very small, such as 2x105 and 2.5x10-4, manipulating and interpreting the results can become rather unwieldy. In this situation it can be helpful to compress the numerical range by taking the logarithm of the ratio. It is customary to use a base-10 logarithm for this purpose. For example, 5 log10(2x10 ) = 5 + log10(2) = 5.301 and -4 log10(2.5x10 ) = -4 + log10(2.5) = -3.602 If the quantities in the proportionality ratio both have the units of power (e.g., 2 watts), or intensity (watts/m ), then the base-10 logarithm log10(power1/power0) is expressed with the unit bel (symbol: B), in honor of Alexander Graham Bell (1847 -1922). The decibel is a unit representing one tenth (deci-) of a bel. Therefore, a figure reported in decibels is ten times the value reported in bels. The expression for a proportionality ratio expressed in decibel units (symbol dB) is: 10 푝표푤푒푟1 10 Common Usage 푑퐵 ≡ ∙ 푙표푔 �푝표푤푒푟0� The power dissipated in a resistance R ohms can be expressed as V2/R, where V is the voltage across the resistor. -
Relationships of the SI Derived Units with Special Names and Symbols and the SI Base Units
Relationships of the SI derived units with special names and symbols and the SI base units Derived units SI BASE UNITS without special SI DERIVED UNITS WITH SPECIAL NAMES AND SYMBOLS names Solid lines indicate multiplication, broken lines indicate division kilogram kg newton (kg·m/s2) pascal (N/m2) gray (J/kg) sievert (J/kg) 3 N Pa Gy Sv MASS m FORCE PRESSURE, ABSORBED DOSE VOLUME STRESS DOSE EQUIVALENT meter m 2 m joule (N·m) watt (J/s) becquerel (1/s) hertz (1/s) LENGTH J W Bq Hz AREA ENERGY, WORK, POWER, ACTIVITY FREQUENCY second QUANTITY OF HEAT HEAT FLOW RATE (OF A RADIONUCLIDE) s m/s TIME VELOCITY katal (mol/s) weber (V·s) henry (Wb/A) tesla (Wb/m2) kat Wb H T 2 mole m/s CATALYTIC MAGNETIC INDUCTANCE MAGNETIC mol ACTIVITY FLUX FLUX DENSITY ACCELERATION AMOUNT OF SUBSTANCE coulomb (A·s) volt (W/A) C V ampere A ELECTRIC POTENTIAL, CHARGE ELECTROMOTIVE ELECTRIC CURRENT FORCE degree (K) farad (C/V) ohm (V/A) siemens (1/W) kelvin Celsius °C F W S K CELSIUS CAPACITANCE RESISTANCE CONDUCTANCE THERMODYNAMIC TEMPERATURE TEMPERATURE t/°C = T /K – 273.15 candela 2 steradian radian cd lux (lm/m ) lumen (cd·sr) 2 2 (m/m = 1) lx lm sr (m /m = 1) rad LUMINOUS INTENSITY ILLUMINANCE LUMINOUS SOLID ANGLE PLANE ANGLE FLUX The diagram above shows graphically how the 22 SI derived units with special names and symbols are related to the seven SI base units. In the first column, the symbols of the SI base units are shown in rectangles, with the name of the unit shown toward the upper left of the rectangle and the name of the associated base quantity shown in italic type below the rectangle. -
Evaluating Temperature Regulation by Field-Active Ectotherms: the Fallacy of the Inappropriate Question
Vol. 142, No. 5 The American Naturalist November 1993 EVALUATING TEMPERATURE REGULATION BY FIELD-ACTIVE ECTOTHERMS: THE FALLACY OF THE INAPPROPRIATE QUESTION *Department of Biological Sciences, Barnard College, Columbia University, New York, New York 10027; $Department of Zoology NJ-15, University of Washington, Seattle, Washington 98195; $Department of Biology, University of Massachusetts at Boston, Boston, Massachusetts 02125 Submitted March 16, 1992; Revised November 9, 1992; Accepted November 20, 1992 Abstract.-We describe a research protocol for evaluating temperature regulation from data on small field-active ectothermic animals, especially lizards. The protocol requires data on body temperatures (T,) of field-active ectotherms, on available operative temperatures (T,, "null temperatures" for nonregulating animals), and on the thermoregulatory set-point range (pre- ferred body temperatures, T,,,). These data are used to estimate several quantitative indexes that collectively summarize temperature regulation: the "precision" of body temperature (vari- ance in T,, or an equivalent metric), the "accuracy" of body temperature relative to the set-point range (the average difference between 7, and T,,,), and the "effectiveness" of thermoregulation (the extent to which body temperatures are closer on the average to the set-point range than are operative temperatures). If additional data on the thermal dependence of performance are available, the impact of thermoregulation on performance (the extent to which performance is enhanced relative to that of nonregulating animals) can also be estimated. A sample analysis of the thermal biology of three Anolis lizards in Puerto Rico demonstrates the utility of the new protocol and its superiority to previous methods of evaluating temperature regulation. We also discuss several ways in which the research protocol can be extended and applied to other organisms. -
Research Reports
ARAŞTIRMALAR (ResearchUnur, Ülger, Reports) Ekinci MORPHOMETRICAL AND MORPHOLOGICAL VARIATIONS OF MIDDLE EAR OSSICLES IN THE NEWBORN* Yeni doğanlarda orta kulak kemikciklerinin morfometrik ve morfolojik varyasyonları Erdoğan UNUR 1, Harun ÜLGER 1, Nihat EKİNCİ 2 Abstract Özet Purpose: Aim of this study was to investigate the Amaç: Yeni doğanlarda orta kulak kemikciklerinin morphometric and morphologic variations of middle ear morfometrik ve morfolojik varyasyonlarını ortaya ossicles. koymak. Materials and Methods: Middle ear of 20 newborn Gereç ve yöntem: Her iki cinse ait 20 yeni doğan cadavers from both sexes were dissected bilaterally and kadavrasının orta kulak boşluğuna girilerek elde edilen the ossicles were obtained to investigate their orta kulak kemikcikleri üzerinde morfometrik ve morphometric and morphologic characteristics. morfolojik inceleme yapıldı. Results: The average of morphometric parameters Bulgular: Morfometrik sonuçlar; malleus’un toplam showed that the malleus was 7.69 mm in total length with uzunluğu 7.69 mm, manibrium mallei’nin uzunluğu 4.70 an angle of 137 o; the manibrium mallei was 4.70 mm, mm, caput mallei ve processus lateralis arasındaki and the total length of head and neck was 4.85 mm; the uzaklık 4.85 mm, manibrium mallei’nin ekseni ve caput incus had a total length of 6.47 mm, total width of 4.88 mallei arasındaki açı 137 o, incus’un toplam uzunluğu mm , and a maximal distance of 6.12 mm between the 6.47 mm, toplam genişliği 4.88 mm, crus longum ve tops of the processes, with an angle of 99.9 o; the stapes breve’nin uçları arasındaki uzaklık 6.12 mm, cruslar had a total height of 3.22 mm, with stapedial base being arasındaki açı 99.9 o, stapesin toplam uzunluğu 2.57 mm in length and 1.29 mm in width. -
The International System of Units (SI)
NAT'L INST. OF STAND & TECH NIST National Institute of Standards and Technology Technology Administration, U.S. Department of Commerce NIST Special Publication 330 2001 Edition The International System of Units (SI) 4. Barry N. Taylor, Editor r A o o L57 330 2oOI rhe National Institute of Standards and Technology was established in 1988 by Congress to "assist industry in the development of technology . needed to improve product quality, to modernize manufacturing processes, to ensure product reliability . and to facilitate rapid commercialization ... of products based on new scientific discoveries." NIST, originally founded as the National Bureau of Standards in 1901, works to strengthen U.S. industry's competitiveness; advance science and engineering; and improve public health, safety, and the environment. One of the agency's basic functions is to develop, maintain, and retain custody of the national standards of measurement, and provide the means and methods for comparing standards used in science, engineering, manufacturing, commerce, industry, and education with the standards adopted or recognized by the Federal Government. As an agency of the U.S. Commerce Department's Technology Administration, NIST conducts basic and applied research in the physical sciences and engineering, and develops measurement techniques, test methods, standards, and related services. The Institute does generic and precompetitive work on new and advanced technologies. NIST's research facilities are located at Gaithersburg, MD 20899, and at Boulder, CO 80303. -
Aircraft Noise (Excerpt from the Oakland International Airport Master Plan Update – 2006)
Aircraft Noise (Excerpt from the Oakland International Airport Master Plan Update – 2006) Background This report presents background information on the characteristics of noise. Noise analyses involve the use of technical terms that are used to describe aviation noise. This section provides an overview of the metrics and methodologies used to assess the effects of noise. Characteristics of Sound Sound Level and Frequency — Sound can be technically described in terms of the sound pressure (amplitude) and frequency (similar to pitch). Sound pressure is a direct measure of the magnitude of a sound without consideration for other factors that may influence its perception. The range of sound pressures that occur in the environment is so large that it is convenient to express these pressures as sound pressure levels on a logarithmic scale that compresses the wide range of sound pressures to a more usable range of numbers. The standard unit of measurement of sound is the Decibel (dB) that describes the pressure of a sound relative to a reference pressure. The frequency (pitch) of a sound is expressed as Hertz (Hz) or cycles per second. The normal audible frequency for young adults is 20 Hz to 20,000 Hz. Community noise, including aircraft and motor vehicles, typically ranges between 50 Hz and 5,000 Hz. The human ear is not equally sensitive to all frequencies, with some frequencies judged to be louder for a given signal than others. See Figure 6.2. As a result of this, various methods of frequency weighting have been developed. The most common weighting is the A-weighted noise curve (dBA). -
Intensity of Sound
01/02 Intensity - 1 INTENSITY OF SOUND The objectives of this experiment are: • To understand the concept of sound intensity and how it is measured. • To learn how to operate a Sound Level Meter APPARATUS: Radio Shack Sound Level Meter, meterstick, function generator, headphones. INTRODUCTION Sound energy is conveyed to our ears (or instruments) by means of a wave motion through some medium (gas, liquid, or solid). At any given point in the medium the energy content of the wave disturbance varies as the square of the amplitude of the wave motion. That is, if the amplitude of the oscillation is doubled the energy of the wave motion is quadrupled. The common method in gauging this energy transport is to measure the rate at which energy is passing a certain point. This concept involves sound intensity. Consider an area that is normal to the direction of the sound waves. If the area is a unit, namely one square meter, the quantity of sound energy expressed in Joules that passes through the unit area in one second defines the sound intensity. Recall the time rate of energy transfer is called "power". Thus, sound intensity is the power per square meter. The common unit of power is the watt ( 1w = 1 Joules/s). Normally, sound intensity is measured as a relative ratio to some standard intensity, Io. The response of the human ear to sound waves follows closely to a logarithmic function of the form R = k log I , where R is the response to a sound that has an intensity of I, and k is a constant of proportionality .