J.L. Michaux 1, F. Naaim-Bouvet\ M. Naaim\ G. Guyomarc'h 2

Size: px
Start display at page:

Download "J.L. Michaux 1, F. Naaim-Bouvet\ M. Naaim\ G. Guyomarc'h 2"

Transcription

1 THE ACOUTIC NOWDRIFT ENOR: INTERET, CALIBRATION AND REULT J.L. Michaux 1, F. Naaim-Buvet\ M. Naaim\ G. Guymarc'h 2 1 : Cemagref, nw avalanche engineering and trrent cntrl research unit, Grenble, France 2 : Mete France, CEN (nw tudy Center), Grenble, France ABTRACT: During a drifting snw event, it seems t be imprtant t knw the flux f blwing snw. Indeed, the height f the snw accumulatin in an avalanche departure zne and als snwdrift n rads depend n this quantity. In rder t estimate this flux, we have develped at Cemagref, in cllabratin with Hydremac, an acustic snwdrift sensr. It is made f a micrphne lcated in an aluminum ple. The ple is expsed t the snw particle flux and the sund prduced by the particle impacts is recrded as an electrical signal. Hwever, this signal depends nt nly n the particles flux, but als n the type 01 particles, the presence f a snwfall r nt, the wind nise n the sensr, etc. Therefre we have dne experiences, bth in situ n ur experimental site f high altitude called Cl du Lac Blanc, and in a climatic wind tunnel (CTB, France), in rder t calibrate ur sensr i.e. t establish a relatin between the signal n the sensr, and the flux f particles. Mrever, thank t this sensr, we btained infrmatin cncerning the threshld velcities f ersin and depsit, and relatins between wind and drifting snw. This paper presents ur results. KEYWORD: Drifting snw - snwdrift acustic sensr _. flux threshld velcities 1. INTRODUCTION Cemagref's Etna divisin and Cen f Mete France have been wrking tgether n drifting snw fr ten years At the present time, we are develping an acustic snwdrift sensr, which aims at measuring the flux f drifting snw. Indeed, the flux f drifting snw is an input required by ur mdel f snwdrift (Naaim and thers, 1998). We are calibrating this sensr, which is sensitive t the flux, but als t parameters such as the wind r the type f snw particles. Therefre, we need t determine the effect f each parameter, in rder t gauge the sensr. T this purpse, we have realized experiments, bth in situ, n ur experimental site f high altitude, at Lac Blanc Pass, near the ski resrt f Alpe d'huez (France), and in a climatic wind tunnel at CTB (Nantes, France). This paper presents the first steps f the calibratin, which were realized this year, and the present use f this acustic snwdrift sensr. 2. CALIBRATION OF THE ACOUTIC NOWDRIFT ENOR 2.1. Technical aspect f tne sensr Cemagref's Etna unit has develped an acustic snwdrift sensr (Fig. 1.), in cllabratin with Hydremac (Fnt and thers, 1998). It is basically a miniature micrphne lcated at the base fa 2 m lng aluminum ple. The ple is expsed t the snw particle flux, and during snwdrift, part f the flux impacts n the ple. The sund prduced by these impacts is recrded as an electrical signal. The lwerfrequency signal prduced by the wind and the higher-frequency signal, utside f the audible range, are filtered ut. The recrded utput vltage indicates when snwdrift ccurs. Crrespnding authr address: Michaux J.L. Cemagref, nw avalanche engineering and trrent cntrl research unit Dmaine Universitaire, 2 rue de la Papeterie, BP 76, aint-martin-d'heres cedex, France. Tel: Fax: lean-luc.michaux@grenble.cemagref.fr Figure 1: The acustic snwdrift sensr. 390

2 2.2 Experiments in the climatic wind tunnel f CTB Descriptin f experiments In rder t gauge the acustic snwdrift sensr, we have realized ten days f experiments in the climatic wind tunnel f CTB (Nantes, France), n the framewrk f an Eurpean prject. This wind tunnel f 26 m length, 10m width and 7 m high, allws t wrk with extreme cnditins such as temperature f -15 C, regular r gust winds up t 25 m.s-1; and als t prduce artificial snw, thanks t snw guns (Fig. 2). The advantage f this wind tunnel is t permit the realizatin f many experiments in a shrt time,. with well-cntrlled parameters. - A wind lwer than 11.4 m.s-1 des nt create significant signal n the sensr - Fr a wind speed higher than 11.4 m.s-1, the wind signal can be taken as a linear functin f the wind speed, in a first apprximatin: wind = 15*Vwind -121 (R 2 =0.7), (1) - where wind is the signal prduced by the wind and Vwind is the wind velcity. This law is wrking with errrs frm 20% t 80% n the signal value due t the wind, depending n the wind speed. These errrs seem t be imprtant, hwever they keep small relatively t the signal during a drifting snw episde. Wind nise n the drifting snw acustic sensr '> implified gauging law y =15,215x-121,31 t~::===~r2===0,=69=53=======~===~=== }ljuf------~."l_-.~---.: r~+-i---l~_-- '_'_-_i'~'_.-~-~---i en Wind speed (m.&-i) ~Nise n the sensr fr winds> lom.s-l. Nise n the sensr fr winds < 10 m.s-l _ Linear Figure 2 : the wind tunnel f CTB. Wind nise n the sensr A part f experiments realized in the wind tunnel f CTB was devted t the determinatin f the wind signal n the acustic snwdrift sensr. T this purpse, we have first realized tw types f experiments withut snw: The first ne cnsisted in increasing regularly the wind speed in the wind tunnel, frm 3 t 23 m.s 1, and at the same time t recrd the signal n 6 acustic snwdrift sensrs, fixed in the wind tunnel. The secnd experiment was similar, except that the wind was blwing by gusts, and nt regularly. Gusts had an average wind speed f 10 m.s-1, then 20 m.s-1, and an amplitude f 2.5 m.s-1 The first step f the data prcessing was the e!imi~atin f the wind tunnel nise (fans, vibratins and mtrs) n the data. T this purpse, we smthed data, averaging their n 1 minute, whereas the initial recrding was every secnd. The tw experiments prduced similar results (Fig. 3): Figure 3: Wind n,se n the acustic snwdrift sensr, Relatin between signal and flux: The mass flux f drifting snw is ne parameter in ur numerical mdel. Up t nw, the mass flux has been inferred frm the wind speed by means f an empirical law (Pmery and Gray, 1990). Hwever, t imprve the mdel, we wuld like t btain measurements f the flux, in rder t take int accunt snwfalls. Therefre, we plan t calibrate the acustic sensr, in rder t deduce the flux f drifting snw frm the recrded signal. Therefre, we have realised experiments in the CTB wind tunnel in which we cmpared the average mass flux during ne experiment, and the average recrded signal. The mass flux was determined using mechanical snw traps. These snw traps, called "butterfly nets", have a rectangular metal frame (15 cm* 2 cm) with an attached nyln bag. The traps, facing the prevailing wind directin, have been fixed at different heights n a ple, next t the acustic sensr (Fig. 2). We btain the drifting snw flux by integrating the mass weight at each height. These values f flux were cmpared with the average signal n the snwdrift acustic sensr, fr each experiment, with regular winds r gusts. 391

3 These firsts results seem t be interesting. The signal n the snwdrift acustic sensr is prprtinal t the flux f drifting snw (Fig. 4). This result is a preliminary. It was dne with a given type f snw (artificial snw) in the cld wind tunnel f CTB. Furthermre, studies have shwn that the signal depends n the type f snw which hit the ple (see 2.3.) Therefre, fr the future, we wuld like t btain a gauging which links a given signal with a flux, fr a given meterlgical event (temperature, snw type, etc.). This sensr will be cupled with the mdel CROCU f Mete France (Brun and thers, 1992), which simulates the snw type in the snw mantle.. ensr 2 ensr 3 ensr4.. ensr 5 ensr 6 linear lendancy Flw (kg. linear m-1.h-1) Figure 4: relatin between flw and signal n the acustic snwdrift sensr. Preliminary results fr experiments in the wind tunnel f CTB Experiments in situ, at Cl du Lac Blanc Descriptin f the experimental site In rder t fllw the three-dimensinal spatial distributin f snw during the winter and t determine where snw accumulates and settles fr a given meterlgical event, we set up tw netwrks f metallic snw ples at Lac Blanc Pass (Guymarc'h and thers., 2000). The prevailing winds at Cl du Lac Blanc are frm the Nrth r uth. The high wind speeds and the snw cver are favurable t drifting snw. On this site, a square f 20 ples and a 200 m lng prfile f height ples have been set up (This area is bth an ersin zne (near the pass) as well as an accumulatin zne (Michaux and thers, 2000). We climbed t this experimental site at least nce a week, depending n snwdrift event frecasts, in rder t measure the snw depth at each snw ple. In additin, a stratigraphic prfile f the snwpack and a ram test were carried ut t cllect data n the time prgressin f the snwpack and the depth f the snw. Autmatically recrded meterlgical data cmplete these measurements. A data lgger recrded the fllwing parameters every 15 minutes (with a scan rate f 1 secnd): average, maximum and minimum wind speed, directin, precipitatin, and temperature. Anther weather statin situated nearby has equipped with an ultrasnic sensr measures the snw depth. Nevertheless, all these meterlgical data nt sufficient t test the numerical model' snw mass flux and the threshld velcity als necessary fr these calculatins. Fr iii reasn six acustic sensrs were installed ~ a 20D-m prfile. These sensrs are lcated in" ersin area, in the transprt zne and in lile depsitin zne. Variatin f the signal with the type f snw The fllwing graph (Fig.5) illustrates the signra recrded by the acustic snwdrift sensr, (average signal ver 15 minutes versus the wqi velcity) fr varius snwdrift episdes at CId1 Lac Blanc and thus fr different snw types." rder t determine the snw type, we decided, rely n the AFRAN (Durand and thers, 1993). CROCU (Brun and thers, 1992) mdel, fr_ reasns. Firstly, we were nt always n experimental site at the beginning f the driflilt snw event and thus we have n ther infrmatin abut the snw type. ecndly.. are develping a cnnected mdel in which the utput f AFRAN-CROCU is ging t be the input f ur numerical drifting snw mdel NEMO (Naaim-Buvet and thers, 2000). On March 4, 1998, we bserved an episde wi bth snwfall and wind that appears as wideir scattered data pints in Figure 5. In this case. the mass flux was crrelated bth with the will speed and the snwfall intensity, which was Id cnstant. This scattering f data was always bserved in episdes f snwdrift with snwfal during the winter. The signal induced by runded grains was higher than the ne generated by new snw. faceted grains (Fig. 5) Hwever, we shuld keep in mind that this difference in signal might be caused by a shift f the signal due t til variatin f the snw depth arund the sel1lf during the mnth f March. Fig. 6. shw" evlutin in time ft the snw depth at sensr' 5; the increase during March is caused IIf snwfall events withut wind. The differerll8 between signals fr varius types f grain~~ smaller fr anther sensr where the snw ljqii" variatin was less (Fig. 7). These bservatioll cnfirm that a snw depth sensr must be a_ t the acustic sensr in an peratinal use. '": will allw a crrectin f the data with regard the ideal situatin n which the sensr '" calibrated (ersin area withut snw). 392

4 1800 _ Y=-'-:'~'!L-_btJ~-+_ 0,,-.083,..,...;"'''''''''' =e I-----~== = ; 1200-l il gt '1-E-"""""""----ili'*~; jl7--...; ~ '-'--=-""~~.~.," ;.> " I-----~ g I---.-a-~.,J< < I----~ ~~~M ~= c~,... -_, ----i Wind speed (ms' 1 ) 0 03/03/99: faceted grains.01/16/99 t 01/18/99 : faceted grains /99 : new snw.03/04/99 : with snw fall x 03/17/99 t 03/20/99: runded grains Figure 5: Vltage (mean value ver 15 min) frm acustic sensr n. 5 versus wind speed (mean value ver 15 min) fr different drifting-snw events _ " _. E ~1 ~ 0.8 ~ 0.6 _-~ fl.---.;. 0c:: 0.4 j \, d III Or} ~:.:s= -.,...--_- -Z~7-:-----c, 13/11/ /99 27/ / Date Figure 6: Evlutin f snw depth near acustic sensr no.5 during the winter f :> 1400 E '; 1200 C>.!! > 800 Q, Wind speed (m.s ') I Frm (2h30) (24 h) x Frm (2h15) t 20/03199 (2Ih45) Figure 7: Vltage (mean value ver 15 min) frm acustic sensr no.1 versus wind speed (mean value ver 15 min) 3. FIRT REULT 3.1. Determinatin f drifting snw perids This acustic snwdrift sensr is fr the mment peratinal as a detectr f snwdrift episdes. It indicates when snwdrift ccurs, and values n the signal give infrmatin abut the intensity f the drifting snw episde. In figure 8, we present an example f the signal bserved n the sensr, during a drifting snw event. Figure 9 shws the results f ne year f drifting snw n ur experimental site f Cl du Lac Blanc; the sensr detected these episdes. This use f the acustic snwdrift sensr permitted us t create a database f snwdrift events n ur experimental site, with many parameters (snw depth, wind speed, temperature, etc.) (Guymarc'h and thers, 2000). This data base will be use in rder t perfrm ur numerical mdel f drifting snw ", 20.j------t~- f =f 2500 ~ =~ i 15 ~ 1500 g.e 10 '5 ~ 1000 ~ / / / Date 1-Wind speed- Vltage t Figure 8: Wind speed and drifting snw frm January 26 t F.ebruary 1. '00% 90%,/' 80% ~70% ~60% I~ 40% t/. 30%,: 20% ii, 10% /" 'f. O%.JL--=::.,...-==.;.:..-==...--==., 01/ /99 Date f02000 mv<yalues<3qoo mv : mv<values<2000 mv a 500 mvc:.values<l000 mv 0200 mvc:.values<500 mv G 100 mv<values<200 mv 050 mv<values<100 mv C Wi1hu1 drifting-snw EJ Withut data Figure 9: Occurrence f drifting-snw events Hysteresis phenmenn' fr threshld velcities This sensr is an imprtant tl, nt nly fr engineering and detectin f drifting snw episdes, but als fr research n drifting snw. Fr example, it allwed us t highlight the phenmenn f hysteresis f threshld velcities fr ersin and depsit. Indeed, we bserved during experiments in the climatic wind tunnel f CTB, that the signal n the sensr fr a given wind speed is lwer during the increasing phase f the event, than during the decreasing phase. The threshld velcity f ersin (which is the minimum wind speed fr which there is ersin f snw) is higher than the threshld velcity f 393

5 depsit (threshld wind speed belw which there 3000 is depsit) (Fig.1 0) I _ ! t-----_--.! Threshldvelcity : Hysteresis phenmenn ~-l ~......~_. - '..."1 '.i, i I0'..- I 1 i.. I- Wind increasing II.; 5.,IJ.Wind decreasing ~ ~,. I! i i ignal (mv) Figure 10: Hysteresis phenmenn The snwdrift: a nn-linear phenmenn The gust factr relating t the signal f the acustic snwdrift sensr, defined as the rati G s.= maximum signal f the acustic sensr / average signal, can prvide infrmatin abut the snwdrift. T this purpse, we used an acustic snwdrift sensr lcated at ur experimental site f Cl du Lac Blanc. We first remved the ffset f the sensr (50mV). Then, we filtered ut the average signal less than 5 mv, because lwer values d nt crrespnd t snwdrift. The gust factr was then calculated every 15 minutes fr the whle winter (scan rate f 1 secnd) (Michaux and thers, 2000). We calculated als!tole wind gust factrs. Thanks t these data, we highlighted tw types f drifting-snw events' - A first type f perids f weak snwdrift, - A secnd type f perids f heavy snwdrift. The first scenari (weak snwdrift) crrespnds t areas 1 and 3 in Figure 11, and areas A and B in Figure 12. In the first case (area 1 in Figure 11 and A in Figure 12), high wind gust factrs were fund, indicating highly gusty winds, but very lw average snwdrift signals and snwdrift gust factrs were bserved. Thus, this scenari des nt shw significant ersin, snwdrift, and depsitin. The secnd case (area 3 in Figure 11 and B in Figure 12) is characterised by gusty snwdrift episdes with spradic wind gusts generating mderate snwdrift. The secnd scenari (heavy snwdrift) crrespnds t zne 2 f Figure 11 and part C f Figure 12. Due t the limited utput vltage f 5000 mv fr the acustic sensr, the maximum snwdrift gust factr is 50 fr average signals greater than 100 mv, causing the cut-ff in Figure 12. This type f snwdrift ccurs during mre regular wind episdes characterised by lw wind gust factrs. 394 >-..! ~--=-----""""...::._.J_----.J Ql := ~ 1500 '0 g >.r: 1000 li '5-500 it Figure 11: The average snwdrift signal 011 acustic sensr n 5 at Cl du Lac Blanc , g :--=---'---=-,-..--_-_--_-_--l--, ~; l/l _ ,-'-----t:---;l (1) I -: ~ l--t-~.---t""'----- l~ $a ~ :~~_~---r;)--- u....l!! ' r--...~ t'..,~ \ iii 50 :::l Cl 0 Figure 12: The snwdrift gust factr recrded by acustic sensr n05 at Cl du Lac Blanc. This study f the snwdrift gust faclf demnstrates that snwdrift is mre substantial/vluminus when it is generated by I regular, sufficiently strng wind than when it appears with spradic wind gusts. This imprtalt" result will allw us t smewhat simplify thf. numerical mdel f drifting snw used Cemagref. 4. CONCLUION The calibratin f the acustic snwdrift sen is ging well. We have realized prelimin validatins cncerning the wind nise n sensr and the relatin between signal and ft thanks t experiments, bth in situ at Lac BI Pass, and in the climatic wind tunnel f csnt We highlighted the prblems that we need slve in rder t gauge the sensr, in part~ the fact that each type f snw might prduce particular signal n the acustic sensr, and a snw depth sensr must be added. At present time, the sensr can be used as detectr f drifting snw perids. We. created a database cncerning snwdrift P'G1"'-XC n ur experimental site. This data base win used in rder t perfrm ur drifting s numerical mdel. Mrever, it has yet allwed t find interesting results, cncerning thres velcities f ersin and depsit, and. cncerning the meterlgical cnditins wh can generate an imprtant event f snw

6 (regular high wind speed is mre favrable t snwdrift than high wind gusts). The next step f the calibratin will be the determinatin f the accurate link between signal and flux fr each type f snw. 5. ACKNOLEDGMENT This study required an imprtant technical supprt which was realized by Jean Michel Panel and Philippe Pugliese (electrnical team f the CEN), and Frederic Ousset (Cemagref). The ATA (afety service f f Alpe d'huez resrt) as usual, helped us n the grund. This study was partially funded by the Rhne-Alpes Regin. 6. REFERENCE Brun, E., P. David, M. udul and G. Brunt A numerical mdel t simulate snw-cver stratigraphy fr peratinal avalanche frecasting. J. Glacil., 38(128), Durand, Y., E. Brun, L. Merindl, G. Guymarc'h and E. Martin A meterlgical estimatin f the relevant parameters fr snw mdels. Ann. Glacil., 18, Fnt, D., F. Naaim-Buvet and M. Russel Drifting snw acustic detectr: experimental tests in La Mlina, panish Pyrenees. Ann. Glacil., 26, Guymarc'h G., Y. Durand, L. Merindl, F. Naaim Buvet, Climatlgy f an experimental muntainus lcatin fr studies n snwdrift. Prceedings, Internatinal nw science Wrkshp, Octber 2000, Big sky Mntana, in press. Michaux, J-L., F. Naaim-Buvet, and M. Naaim Transprt de la neige par Ie vent sur un site de mntagne : mesures et mdelisatin numerique a I'echelle du culir. La Huille Blanche,, Michaux J.L., F. Naaim-Buvet, and M. Naaim Drifting snw studies ver an instrumented muntainus site. Part II: Measurements and numerical mdel at small scale, in press, Ann. Glacil. Naaim, M., F. Naaim-Buvet and H. Martinez Numerical simulatin f drifting snw: ersin and depsitin mdels. Ann. Glacil., 26, Naaim-Buvet. F., Y. Durand, M. Naaim, G. Guymarc'h, J.L. MichauX' L. Merindl, Numerical experiments f wind transprt ver a muntainus instrumented site, at small, medium, and large scale. Prceedings, Internatinal nw science Wrkshp, Octber 2000, Big sky Mntana, in press. Pmery, J.W. and D.M. Gray altatin f nw. Water Resr. Res, 26(7),

Operational Use of the Model Crocus

Operational Use of the Model Crocus Operatinal Use f the Mdel Crcus by French Avalanche Frecast Services E.Brun Meterlgie Natinale Centre d'etudes de la Neige BP 44 Dmaine Universitaire 3842 St-Martin d 'eres France ntrductin Since 1971

More information

Temperature sensor / Dual Temp+Humidity

Temperature sensor / Dual Temp+Humidity www.akcp.cm Temperature sensr / Dual Temp+Humidity Intrductin Temperature sensrs are imprtant where ptimum temperature cntrl is paramunt. If there is an air cnditining malfunctin r abnrmal weather cnditins,

More information

5.4 Measurement Sampling Rates for Daily Maximum and Minimum Temperatures

5.4 Measurement Sampling Rates for Daily Maximum and Minimum Temperatures 5.4 Measurement Sampling Rates fr Daily Maximum and Minimum Temperatures 1 1 2 X. Lin, K. G. Hubbard, and C. B. Baker University f Nebraska, Lincln, Nebraska 2 Natinal Climatic Data Center 1 1. INTRODUCTION

More information

SNOW AND AVALANCHES FORECASTING OVER THE ANDES MOUNTAlNS. Jose A. Vergara* Departamento de Geoflsica, Universidad de Chile

SNOW AND AVALANCHES FORECASTING OVER THE ANDES MOUNTAlNS. Jose A. Vergara* Departamento de Geoflsica, Universidad de Chile SNOW AND AVALANCHES FORECASTNG OVER THE ANDES MOUNTAlNS Jse A. Vergara* Departament de Geflsica, Universidad de Chile Rene len, Camins y Nieve, ANDNA-CODElCO, CHLE ABSTRACT: During the last three years

More information

Least Squares Optimal Filtering with Multirate Observations

Least Squares Optimal Filtering with Multirate Observations Prc. 36th Asilmar Cnf. n Signals, Systems, and Cmputers, Pacific Grve, CA, Nvember 2002 Least Squares Optimal Filtering with Multirate Observatins Charles W. herrien and Anthny H. Hawes Department f Electrical

More information

Synchronous Motor V-Curves

Synchronous Motor V-Curves Synchrnus Mtr V-Curves 1 Synchrnus Mtr V-Curves Intrductin Synchrnus mtrs are used in applicatins such as textile mills where cnstant speed peratin is critical. Mst small synchrnus mtrs cntain squirrel

More information

Temperature sensor / Dual Temp+Humidity

Temperature sensor / Dual Temp+Humidity www.akcp.cm Temperature sensr / Dual Temp+Humidity Intrductin Temperature sensrs are imprtant where ptimum temperature cntrl is paramunt. If there is an air cnditining malfunctin r abnrmal weather cnditins,

More information

Supporting information

Supporting information Electrnic Supplementary Material (ESI) fr Physical Chemistry Chemical Physics This jurnal is The wner Scieties 01 ydrgen perxide electrchemistry n platinum: twards understanding the xygen reductin reactin

More information

SPH3U1 Lesson 06 Kinematics

SPH3U1 Lesson 06 Kinematics PROJECTILE MOTION LEARNING GOALS Students will: Describe the mtin f an bject thrwn at arbitrary angles thrugh the air. Describe the hrizntal and vertical mtins f a prjectile. Slve prjectile mtin prblems.

More information

NAME TEMPERATURE AND HUMIDITY. I. Introduction

NAME TEMPERATURE AND HUMIDITY. I. Introduction NAME TEMPERATURE AND HUMIDITY I. Intrductin Temperature is the single mst imprtant factr in determining atmspheric cnditins because it greatly influences: 1. The amunt f water vapr in the air 2. The pssibility

More information

, which yields. where z1. and z2

, which yields. where z1. and z2 The Gaussian r Nrmal PDF, Page 1 The Gaussian r Nrmal Prbability Density Functin Authr: Jhn M Cimbala, Penn State University Latest revisin: 11 September 13 The Gaussian r Nrmal Prbability Density Functin

More information

Lesson Plan. Recode: They will do a graphic organizer to sequence the steps of scientific method.

Lesson Plan. Recode: They will do a graphic organizer to sequence the steps of scientific method. Lessn Plan Reach: Ask the students if they ever ppped a bag f micrwave ppcrn and nticed hw many kernels were unppped at the bttm f the bag which made yu wnder if ther brands pp better than the ne yu are

More information

RN52-STK2 Starter Kit

RN52-STK2 Starter Kit The RN52-STK2 Starter Kit has everything yu need t kick-start yur prject and is a great tl fr develpers: Prf f cncept prttypes as well as final cmmercial slutins. fr educatinal use: Natural sciences curses

More information

Physics 2B Chapter 23 Notes - Faraday s Law & Inductors Spring 2018

Physics 2B Chapter 23 Notes - Faraday s Law & Inductors Spring 2018 Michael Faraday lived in the Lndn area frm 1791 t 1867. He was 29 years ld when Hand Oersted, in 1820, accidentally discvered that electric current creates magnetic field. Thrugh empirical bservatin and

More information

Flipping Physics Lecture Notes: Simple Harmonic Motion Introduction via a Horizontal Mass-Spring System

Flipping Physics Lecture Notes: Simple Harmonic Motion Introduction via a Horizontal Mass-Spring System Flipping Physics Lecture Ntes: Simple Harmnic Mtin Intrductin via a Hrizntal Mass-Spring System A Hrizntal Mass-Spring System is where a mass is attached t a spring, riented hrizntally, and then placed

More information

NEW Pecan Scab Model Description

NEW Pecan Scab Model Description Edited: June 28, 2005 NEW Pecan Scab Mdel Descriptin Mdel active frm March 1 t August 31 The Oklahma Mesnet, in cperatin with scientists and prfessinals frm Oklahma State University and the University

More information

CHAPTER 3 INEQUALITIES. Copyright -The Institute of Chartered Accountants of India

CHAPTER 3 INEQUALITIES. Copyright -The Institute of Chartered Accountants of India CHAPTER 3 INEQUALITIES Cpyright -The Institute f Chartered Accuntants f India INEQUALITIES LEARNING OBJECTIVES One f the widely used decisin making prblems, nwadays, is t decide n the ptimal mix f scarce

More information

THERMAL-VACUUM VERSUS THERMAL- ATMOSPHERIC TESTS OF ELECTRONIC ASSEMBLIES

THERMAL-VACUUM VERSUS THERMAL- ATMOSPHERIC TESTS OF ELECTRONIC ASSEMBLIES PREFERRED RELIABILITY PAGE 1 OF 5 PRACTICES PRACTICE NO. PT-TE-1409 THERMAL-VACUUM VERSUS THERMAL- ATMOSPHERIC Practice: Perfrm all thermal envirnmental tests n electrnic spaceflight hardware in a flight-like

More information

UBIMET. Climate Change Adaptation Strategies

UBIMET. Climate Change Adaptation Strategies UBIMET Climate Change Adaptatin Strategies UBIMET INSTITUTE FOR UBIQUITOUS METEOROLOGY Internatinal Meterlgical Institute Funded in 2004 by a meterlgist and a chemist Glbal scpe / headquarters in Vienna,

More information

CS 477/677 Analysis of Algorithms Fall 2007 Dr. George Bebis Course Project Due Date: 11/29/2007

CS 477/677 Analysis of Algorithms Fall 2007 Dr. George Bebis Course Project Due Date: 11/29/2007 CS 477/677 Analysis f Algrithms Fall 2007 Dr. Gerge Bebis Curse Prject Due Date: 11/29/2007 Part1: Cmparisn f Srting Algrithms (70% f the prject grade) The bjective f the first part f the assignment is

More information

Differentiation Applications 1: Related Rates

Differentiation Applications 1: Related Rates Differentiatin Applicatins 1: Related Rates 151 Differentiatin Applicatins 1: Related Rates Mdel 1: Sliding Ladder 10 ladder y 10 ladder 10 ladder A 10 ft ladder is leaning against a wall when the bttm

More information

Study Group Report: Plate-fin Heat Exchangers: AEA Technology

Study Group Report: Plate-fin Heat Exchangers: AEA Technology Study Grup Reprt: Plate-fin Heat Exchangers: AEA Technlgy The prblem under study cncerned the apparent discrepancy between a series f experiments using a plate fin heat exchanger and the classical thery

More information

ENGINEERING COUNCIL CERTIFICATE LEVEL THERMODYNAMIC, FLUID AND PROCESS ENGINEERING C106 TUTORIAL 5 THE VISCOUS NATURE OF FLUIDS

ENGINEERING COUNCIL CERTIFICATE LEVEL THERMODYNAMIC, FLUID AND PROCESS ENGINEERING C106 TUTORIAL 5 THE VISCOUS NATURE OF FLUIDS ENGINEERING COUNCIL CERTIFICATE LEVEL THERMODYNAMIC, FLUID AND PROCESS ENGINEERING C106 TUTORIAL 5 THE VISCOUS NATURE OF FLUIDS On cmpletin f this tutrial yu shuld be able t d the fllwing. Define viscsity

More information

NUROP CONGRESS PAPER CHINESE PINYIN TO CHINESE CHARACTER CONVERSION

NUROP CONGRESS PAPER CHINESE PINYIN TO CHINESE CHARACTER CONVERSION NUROP Chinese Pinyin T Chinese Character Cnversin NUROP CONGRESS PAPER CHINESE PINYIN TO CHINESE CHARACTER CONVERSION CHIA LI SHI 1 AND LUA KIM TENG 2 Schl f Cmputing, Natinal University f Singapre 3 Science

More information

Physics 2010 Motion with Constant Acceleration Experiment 1

Physics 2010 Motion with Constant Acceleration Experiment 1 . Physics 00 Mtin with Cnstant Acceleratin Experiment In this lab, we will study the mtin f a glider as it accelerates dwnhill n a tilted air track. The glider is supprted ver the air track by a cushin

More information

Flipping Physics Lecture Notes: Simple Harmonic Motion Introduction via a Horizontal Mass-Spring System

Flipping Physics Lecture Notes: Simple Harmonic Motion Introduction via a Horizontal Mass-Spring System Flipping Physics Lecture Ntes: Simple Harmnic Mtin Intrductin via a Hrizntal Mass-Spring System A Hrizntal Mass-Spring System is where a mass is attached t a spring, riented hrizntally, and then placed

More information

Math Foundations 20 Work Plan

Math Foundations 20 Work Plan Math Fundatins 20 Wrk Plan Units / Tpics 20.8 Demnstrate understanding f systems f linear inequalities in tw variables. Time Frame December 1-3 weeks 6-10 Majr Learning Indicatrs Identify situatins relevant

More information

Introductory Thoughts

Introductory Thoughts Flw Similarity By using the Buckingham pi therem, we have reduced the number f independent variables frm five t tw If we wish t run a series f wind-tunnel tests fr a given bdy at a given angle f attack,

More information

Drought damaged area

Drought damaged area ESTIMATE OF THE AMOUNT OF GRAVEL CO~TENT IN THE SOIL BY A I R B O'RN EMS S D A T A Y. GOMI, H. YAMAMOTO, AND S. SATO ASIA AIR SURVEY CO., l d. KANAGAWA,JAPAN S.ISHIGURO HOKKAIDO TOKACHI UBPREFECTRAl OffICE

More information

Building to Transformations on Coordinate Axis Grade 5: Geometry Graph points on the coordinate plane to solve real-world and mathematical problems.

Building to Transformations on Coordinate Axis Grade 5: Geometry Graph points on the coordinate plane to solve real-world and mathematical problems. Building t Transfrmatins n Crdinate Axis Grade 5: Gemetry Graph pints n the crdinate plane t slve real-wrld and mathematical prblems. 5.G.1. Use a pair f perpendicular number lines, called axes, t define

More information

Math Foundations 10 Work Plan

Math Foundations 10 Work Plan Math Fundatins 10 Wrk Plan Units / Tpics 10.1 Demnstrate understanding f factrs f whle numbers by: Prime factrs Greatest Cmmn Factrs (GCF) Least Cmmn Multiple (LCM) Principal square rt Cube rt Time Frame

More information

Dead-beat controller design

Dead-beat controller design J. Hetthéssy, A. Barta, R. Bars: Dead beat cntrller design Nvember, 4 Dead-beat cntrller design In sampled data cntrl systems the cntrller is realised by an intelligent device, typically by a PLC (Prgrammable

More information

EXPERIMENTAL STUDY ON DISCHARGE COEFFICIENT OF OUTFLOW OPENING FOR PREDICTING CROSS-VENTILATION FLOW RATE

EXPERIMENTAL STUDY ON DISCHARGE COEFFICIENT OF OUTFLOW OPENING FOR PREDICTING CROSS-VENTILATION FLOW RATE EXPERIMENTAL STUD ON DISCHARGE COEFFICIENT OF OUTFLOW OPENING FOR PREDICTING CROSS-VENTILATION FLOW RATE Tmnbu Gt, Masaaki Ohba, Takashi Kurabuchi 2, Tmyuki End 3, shihik Akamine 4, and Tshihir Nnaka 2

More information

1 The limitations of Hartree Fock approximation

1 The limitations of Hartree Fock approximation Chapter: Pst-Hartree Fck Methds - I The limitatins f Hartree Fck apprximatin The n electrn single determinant Hartree Fck wave functin is the variatinal best amng all pssible n electrn single determinants

More information

**DO NOT ONLY RELY ON THIS STUDY GUIDE!!!**

**DO NOT ONLY RELY ON THIS STUDY GUIDE!!!** Tpics lists: UV-Vis Absrbance Spectrscpy Lab & ChemActivity 3-6 (nly thrugh 4) I. UV-Vis Absrbance Spectrscpy Lab Beer s law Relates cncentratin f a chemical species in a slutin and the absrbance f that

More information

Verification of Quality Parameters of a Solar Panel and Modification in Formulae of its Series Resistance

Verification of Quality Parameters of a Solar Panel and Modification in Formulae of its Series Resistance Verificatin f Quality Parameters f a Slar Panel and Mdificatin in Frmulae f its Series Resistance Sanika Gawhane Pune-411037-India Onkar Hule Pune-411037- India Chinmy Kulkarni Pune-411037-India Ojas Pandav

More information

Aircraft Performance - Drag

Aircraft Performance - Drag Aircraft Perfrmance - Drag Classificatin f Drag Ntes: Drag Frce and Drag Cefficient Drag is the enemy f flight and its cst. One f the primary functins f aerdynamicists and aircraft designers is t reduce

More information

David HORN and Irit OPHER. School of Physics and Astronomy. Raymond and Beverly Sackler Faculty of Exact Sciences

David HORN and Irit OPHER. School of Physics and Astronomy. Raymond and Beverly Sackler Faculty of Exact Sciences Cmplex Dynamics f Neurnal Threshlds David HORN and Irit OPHER Schl f Physics and Astrnmy Raymnd and Beverly Sackler Faculty f Exact Sciences Tel Aviv University, Tel Aviv 69978, Israel hrn@neurn.tau.ac.il

More information

Five Whys How To Do It Better

Five Whys How To Do It Better Five Whys Definitin. As explained in the previus article, we define rt cause as simply the uncvering f hw the current prblem came int being. Fr a simple causal chain, it is the entire chain. Fr a cmplex

More information

5 th grade Common Core Standards

5 th grade Common Core Standards 5 th grade Cmmn Cre Standards In Grade 5, instructinal time shuld fcus n three critical areas: (1) develping fluency with additin and subtractin f fractins, and develping understanding f the multiplicatin

More information

THERMAL TEST LEVELS & DURATIONS

THERMAL TEST LEVELS & DURATIONS PREFERRED RELIABILITY PAGE 1 OF 7 PRACTICES PRACTICE NO. PT-TE-144 Practice: 1 Perfrm thermal dwell test n prtflight hardware ver the temperature range f +75 C/-2 C (applied at the thermal cntrl/munting

More information

The standards are taught in the following sequence.

The standards are taught in the following sequence. B L U E V A L L E Y D I S T R I C T C U R R I C U L U M MATHEMATICS Third Grade In grade 3, instructinal time shuld fcus n fur critical areas: (1) develping understanding f multiplicatin and divisin and

More information

and the Doppler frequency rate f R , can be related to the coefficients of this polynomial. The relationships are:

and the Doppler frequency rate f R , can be related to the coefficients of this polynomial. The relationships are: Algrithm fr Estimating R and R - (David Sandwell, SIO, August 4, 2006) Azimith cmpressin invlves the alignment f successive eches t be fcused n a pint target Let s be the slw time alng the satellite track

More information

Fall 2013 Physics 172 Recitation 3 Momentum and Springs

Fall 2013 Physics 172 Recitation 3 Momentum and Springs Fall 03 Physics 7 Recitatin 3 Mmentum and Springs Purpse: The purpse f this recitatin is t give yu experience wrking with mmentum and the mmentum update frmula. Readings: Chapter.3-.5 Learning Objectives:.3.

More information

Dataflow Analysis and Abstract Interpretation

Dataflow Analysis and Abstract Interpretation Dataflw Analysis and Abstract Interpretatin Cmputer Science and Artificial Intelligence Labratry MIT Nvember 9, 2015 Recap Last time we develped frm first principles an algrithm t derive invariants. Key

More information

COASTAL ENGINEERING Chapter 2

COASTAL ENGINEERING Chapter 2 CASTAL ENGINEERING Chapter 2 GENERALIZED WAVE DIFFRACTIN DIAGRAMS J. W. Jhnsn Assciate Prfessr f Mechanical Engineering University f Califrnia Berkeley, Califrnia INTRDUCTIN Wave diffractin is the phenmenn

More information

February 28, 2013 COMMENTS ON DIFFUSION, DIFFUSIVITY AND DERIVATION OF HYPERBOLIC EQUATIONS DESCRIBING THE DIFFUSION PHENOMENA

February 28, 2013 COMMENTS ON DIFFUSION, DIFFUSIVITY AND DERIVATION OF HYPERBOLIC EQUATIONS DESCRIBING THE DIFFUSION PHENOMENA February 28, 2013 COMMENTS ON DIFFUSION, DIFFUSIVITY AND DERIVATION OF HYPERBOLIC EQUATIONS DESCRIBING THE DIFFUSION PHENOMENA Mental Experiment regarding 1D randm walk Cnsider a cntainer f gas in thermal

More information

BASD HIGH SCHOOL FORMAL LAB REPORT

BASD HIGH SCHOOL FORMAL LAB REPORT BASD HIGH SCHOOL FORMAL LAB REPORT *WARNING: After an explanatin f what t include in each sectin, there is an example f hw the sectin might lk using a sample experiment Keep in mind, the sample lab used

More information

Interference is when two (or more) sets of waves meet and combine to produce a new pattern.

Interference is when two (or more) sets of waves meet and combine to produce a new pattern. Interference Interference is when tw (r mre) sets f waves meet and cmbine t prduce a new pattern. This pattern can vary depending n the riginal wave directin, wavelength, amplitude, etc. The tw mst extreme

More information

Pressure And Entropy Variations Across The Weak Shock Wave Due To Viscosity Effects

Pressure And Entropy Variations Across The Weak Shock Wave Due To Viscosity Effects Pressure And Entrpy Variatins Acrss The Weak Shck Wave Due T Viscsity Effects OSTAFA A. A. AHOUD Department f athematics Faculty f Science Benha University 13518 Benha EGYPT Abstract:-The nnlinear differential

More information

Lecture 02 CSE 40547/60547 Computing at the Nanoscale

Lecture 02 CSE 40547/60547 Computing at the Nanoscale PN Junctin Ntes: Lecture 02 CSE 40547/60547 Cmputing at the Nanscale Letʼs start with a (very) shrt review f semi-cnducting materials: - N-type material: Obtained by adding impurity with 5 valence elements

More information

making triangle (ie same reference angle) ). This is a standard form that will allow us all to have the X= y=

making triangle (ie same reference angle) ). This is a standard form that will allow us all to have the X= y= Intrductin t Vectrs I 21 Intrductin t Vectrs I 22 I. Determine the hrizntal and vertical cmpnents f the resultant vectr by cunting n the grid. X= y= J. Draw a mangle with hrizntal and vertical cmpnents

More information

Phy 213: General Physics III 6/14/2007 Chapter 28 Worksheet 1

Phy 213: General Physics III 6/14/2007 Chapter 28 Worksheet 1 Ph 13: General Phsics III 6/14/007 Chapter 8 Wrksheet 1 Magnetic Fields & Frce 1. A pint charge, q= 510 C and m=110-3 m kg, travels with a velcit f: v = 30 ˆ s i then enters a magnetic field: = 110 T ˆj.

More information

Unit code: H/ QCF level: 5 Credit value: 15 OUTCOME 3 - STATIC AND DYNAMIC FLUID SYSTEMS TUTORIAL 3 - VISCOSITY

Unit code: H/ QCF level: 5 Credit value: 15 OUTCOME 3 - STATIC AND DYNAMIC FLUID SYSTEMS TUTORIAL 3 - VISCOSITY Unit 43: Plant and Prcess Principles Unit cde: H/601 44 QCF level: 5 Credit value: 15 OUTCOME 3 - STATIC AND DYNAMIC FLUID SYSTEMS TUTORIAL 3 - VISCOSITY 3 Understand static and namic fluid systems with

More information

APPLICATION OF THE BRATSETH SCHEME FOR HIGH LATITUDE INTERMITTENT DATA ASSIMILATION USING THE PSU/NCAR MM5 MESOSCALE MODEL

APPLICATION OF THE BRATSETH SCHEME FOR HIGH LATITUDE INTERMITTENT DATA ASSIMILATION USING THE PSU/NCAR MM5 MESOSCALE MODEL JP2.11 APPLICATION OF THE BRATSETH SCHEME FOR HIGH LATITUDE INTERMITTENT DATA ASSIMILATION USING THE PSU/NCAR MM5 MESOSCALE MODEL Xingang Fan * and Jeffrey S. Tilley University f Alaska Fairbanks, Fairbanks,

More information

Performance Bounds for Detect and Avoid Signal Sensing

Performance Bounds for Detect and Avoid Signal Sensing Perfrmance unds fr Detect and Avid Signal Sensing Sam Reisenfeld Real-ime Infrmatin etwrks, University f echnlgy, Sydney, radway, SW 007, Australia samr@uts.edu.au Abstract Detect and Avid (DAA) is a Cgnitive

More information

2. Precipitation Chemistry Data

2. Precipitation Chemistry Data STIMATING TH ATMSPHRIC INT A WATRSH INPUT F PLLUTANTS PRRY J. SAMSN epartment f Atmspheric and ceanic Science, University f Michigan, Ann Arbr, All 4819-2143, U.S.A. (Received June 2, 1986; revised March

More information

QUIZ Fundamentals of Daylighting 1h30

QUIZ Fundamentals of Daylighting 1h30 MIT Architecture Fall 6 Curse 4.4 Daylighting M. Andersen Octber 17, 6 QUIZ Fundamentals f Daylighting 1h Questins pts 3 pts a. Hw wuld yu describe the greenhuse effect bserved inside a glazed space? Hw

More information

A Few Basic Facts About Isothermal Mass Transfer in a Binary Mixture

A Few Basic Facts About Isothermal Mass Transfer in a Binary Mixture Few asic Facts but Isthermal Mass Transfer in a inary Miture David Keffer Department f Chemical Engineering University f Tennessee first begun: pril 22, 2004 last updated: January 13, 2006 dkeffer@utk.edu

More information

Bootstrap Method > # Purpose: understand how bootstrap method works > obs=c(11.96, 5.03, 67.40, 16.07, 31.50, 7.73, 11.10, 22.38) > n=length(obs) >

Bootstrap Method > # Purpose: understand how bootstrap method works > obs=c(11.96, 5.03, 67.40, 16.07, 31.50, 7.73, 11.10, 22.38) > n=length(obs) > Btstrap Methd > # Purpse: understand hw btstrap methd wrks > bs=c(11.96, 5.03, 67.40, 16.07, 31.50, 7.73, 11.10, 22.38) > n=length(bs) > mean(bs) [1] 21.64625 > # estimate f lambda > lambda = 1/mean(bs);

More information

11. DUAL NATURE OF RADIATION AND MATTER

11. DUAL NATURE OF RADIATION AND MATTER 11. DUAL NATURE OF RADIATION AND MATTER Very shrt answer and shrt answer questins 1. Define wrk functin f a metal? The minimum energy required fr an electrn t escape frm the metal surface is called the

More information

Purpose: Use this reference guide to effectively communicate the new process customers will use for creating a TWC ID. Mobile Manager Call History

Purpose: Use this reference guide to effectively communicate the new process customers will use for creating a TWC ID. Mobile Manager Call History Purpse: Use this reference guide t effectively cmmunicate the new prcess custmers will use fr creating a TWC ID. Overview Beginning n January 28, 2014 (Refer t yur Knwledge Management System fr specific

More information

THE LIFE OF AN OBJECT IT SYSTEMS

THE LIFE OF AN OBJECT IT SYSTEMS THE LIFE OF AN OBJECT IT SYSTEMS Persns, bjects, r cncepts frm the real wrld, which we mdel as bjects in the IT system, have "lives". Actually, they have tw lives; the riginal in the real wrld has a life,

More information

A Study on Pullout Strength of Cast-in-place Anchor bolt in Concrete under High Temperature

A Study on Pullout Strength of Cast-in-place Anchor bolt in Concrete under High Temperature Transactins f the 7 th Internatinal Cnference n Structural Mechanics in Reactr Technlgy (SMiRT 7) Prague, Czech Republic, August 7 22, 23 Paper #H-2 A Study n Pullut Strength f Cast-in-place Anchr blt

More information

the results to larger systems due to prop'erties of the projection algorithm. First, the number of hidden nodes must

the results to larger systems due to prop'erties of the projection algorithm. First, the number of hidden nodes must M.E. Aggune, M.J. Dambrg, M.A. El-Sharkawi, R.J. Marks II and L.E. Atlas, "Dynamic and static security assessment f pwer systems using artificial neural netwrks", Prceedings f the NSF Wrkshp n Applicatins

More information

GENERAL FORMULAS FOR FLAT-TOPPED WAVEFORMS. J.e. Sprott. Plasma Studies. University of Wisconsin

GENERAL FORMULAS FOR FLAT-TOPPED WAVEFORMS. J.e. Sprott. Plasma Studies. University of Wisconsin GENERAL FORMULAS FOR FLAT-TOPPED WAVEFORMS J.e. Sprtt PLP 924 September 1984 Plasma Studies University f Wiscnsin These PLP Reprts are infrmal and preliminary and as such may cntain errrs nt yet eliminated.

More information

Supply Voltage Effects on the Operation of Residential Air Conditioning Appliances: Experimental Analysis

Supply Voltage Effects on the Operation of Residential Air Conditioning Appliances: Experimental Analysis upply Vltage Effects n the Operatin f Residential Air Cnditining Appliances: Experimental Analysis J.M. Maza Ortega 1, M. Burgs Payán 1, J.M. Rmer Grdón 2 and M. Pinilla Rdríguez 2 1 Department f Electrical

More information

Sections 15.1 to 15.12, 16.1 and 16.2 of the textbook (Robbins-Miller) cover the materials required for this topic.

Sections 15.1 to 15.12, 16.1 and 16.2 of the textbook (Robbins-Miller) cover the materials required for this topic. Tpic : AC Fundamentals, Sinusidal Wavefrm, and Phasrs Sectins 5. t 5., 6. and 6. f the textbk (Rbbins-Miller) cver the materials required fr this tpic.. Wavefrms in electrical systems are current r vltage

More information

Lead/Lag Compensator Frequency Domain Properties and Design Methods

Lead/Lag Compensator Frequency Domain Properties and Design Methods Lectures 6 and 7 Lead/Lag Cmpensatr Frequency Dmain Prperties and Design Methds Definitin Cnsider the cmpensatr (ie cntrller Fr, it is called a lag cmpensatr s K Fr s, it is called a lead cmpensatr Ntatin

More information

Current/voltage-mode third order quadrature oscillator employing two multiple outputs CCIIs and grounded capacitors

Current/voltage-mode third order quadrature oscillator employing two multiple outputs CCIIs and grounded capacitors Indian Jurnal f Pure & Applied Physics Vl. 49 July 20 pp. 494-498 Current/vltage-mde third rder quadrature scillatr emplying tw multiple utputs CCIIs and grunded capacitrs Jiun-Wei Hrng Department f Electrnic

More information

DEFENSE OCCUPATIONAL AND ENVIRONMENTAL HEALTH READINESS SYSTEM (DOEHRS) ENVIRONMENTAL HEALTH SAMPLING ELECTRONIC DATA DELIVERABLE (EDD) GUIDE

DEFENSE OCCUPATIONAL AND ENVIRONMENTAL HEALTH READINESS SYSTEM (DOEHRS) ENVIRONMENTAL HEALTH SAMPLING ELECTRONIC DATA DELIVERABLE (EDD) GUIDE DEFENSE OCCUPATIOL AND ENVIRONMENTAL HEALTH READINESS SYSTEM (DOEHRS) ENVIRONMENTAL HEALTH SAMPLING ELECTRONIC DATA DELIVERABLE (EDD) GUIDE 20 JUNE 2017 V1.0 i TABLE OF CONTENTS 1 INTRODUCTION... 1 2 CONCEPT

More information

Chapter 1 Notes Using Geography Skills

Chapter 1 Notes Using Geography Skills Chapter 1 Ntes Using Gegraphy Skills Sectin 1: Thinking Like a Gegrapher Gegraphy is used t interpret the past, understand the present, and plan fr the future. Gegraphy is the study f the Earth. It is

More information

A study on GPS PDOP and its impact on position error

A study on GPS PDOP and its impact on position error IndianJurnalfRadi& SpacePhysics V1.26,April1997,pp. 107-111 A study n GPS and its impact n psitin errr P Banerjee,AnindyaBse& B SMathur TimeandFrequencySectin,NatinalPhysicalLabratry,NewDelhi110012 Received19June

More information

Section 5.8 Notes Page Exponential Growth and Decay Models; Newton s Law

Section 5.8 Notes Page Exponential Growth and Decay Models; Newton s Law Sectin 5.8 Ntes Page 1 5.8 Expnential Grwth and Decay Mdels; Newtn s Law There are many applicatins t expnential functins that we will fcus n in this sectin. First let s lk at the expnential mdel. Expnential

More information

Open Meteorological Data with OGC and INSPIRE

Open Meteorological Data with OGC and INSPIRE Open Meterlgical Data with OGC and INSPIRE INSPIRE 2014 Aalbrg Finnish Meterlgical Institute Rpe Terv, Mikk Visa, Mikk Rauhala, Tarja Riihisaari FMI Open Data Finnish Meterlgical Institute pened its data

More information

arxiv:hep-ph/ v1 2 Jun 1995

arxiv:hep-ph/ v1 2 Jun 1995 WIS-95//May-PH The rati F n /F p frm the analysis f data using a new scaling variable S. A. Gurvitz arxiv:hep-ph/95063v1 Jun 1995 Department f Particle Physics, Weizmann Institute f Science, Rehvt 76100,

More information

3D FE Modeling Simulation of Cold Rotary Forging with Double Symmetry Rolls X. H. Han 1, a, L. Hua 1, b, Y. M. Zhao 1, c

3D FE Modeling Simulation of Cold Rotary Forging with Double Symmetry Rolls X. H. Han 1, a, L. Hua 1, b, Y. M. Zhao 1, c Materials Science Frum Online: 2009-08-31 ISSN: 1662-9752, Vls. 628-629, pp 623-628 di:10.4028/www.scientific.net/msf.628-629.623 2009 Trans Tech Publicatins, Switzerland 3D FE Mdeling Simulatin f Cld

More information

Perfrmance f Sensitizing Rules n Shewhart Cntrl Charts with Autcrrelated Data Key Wrds: Autregressive, Mving Average, Runs Tests, Shewhart Cntrl Chart

Perfrmance f Sensitizing Rules n Shewhart Cntrl Charts with Autcrrelated Data Key Wrds: Autregressive, Mving Average, Runs Tests, Shewhart Cntrl Chart Perfrmance f Sensitizing Rules n Shewhart Cntrl Charts with Autcrrelated Data Sandy D. Balkin Dennis K. J. Lin y Pennsylvania State University, University Park, PA 16802 Sandy Balkin is a graduate student

More information

AQA GCSE Physics. Topic 7: Magnetism and Electromagnetism. Notes. (Content in bold is for Higher Tier only)

AQA GCSE Physics. Topic 7: Magnetism and Electromagnetism. Notes. (Content in bold is for Higher Tier only) AQA GCSE Physics Tpic 7: Magnetism and Electrmagnetism Ntes (Cntent in bld is fr Higher Tier nly) Magnets - Nrth and Suth Ples - Same Ples repel - Oppsite ples attract Permanent Magnets - Always magnetic,

More information

L a) Calculate the maximum allowable midspan deflection (w o ) critical under which the beam will slide off its support.

L a) Calculate the maximum allowable midspan deflection (w o ) critical under which the beam will slide off its support. ecture 6 Mderately arge Deflectin Thery f Beams Prblem 6-1: Part A: The department f Highways and Public Wrks f the state f Califrnia is in the prcess f imprving the design f bridge verpasses t meet earthquake

More information

Chem 115 POGIL Worksheet - Week 8 Thermochemistry (Continued), Electromagnetic Radiation, and Line Spectra

Chem 115 POGIL Worksheet - Week 8 Thermochemistry (Continued), Electromagnetic Radiation, and Line Spectra Chem 115 POGIL Wrksheet - Week 8 Thermchemistry (Cntinued), Electrmagnetic Radiatin, and Line Spectra Why? As we saw last week, enthalpy and internal energy are state functins, which means that the sum

More information

Methods for Determination of Mean Speckle Size in Simulated Speckle Pattern

Methods for Determination of Mean Speckle Size in Simulated Speckle Pattern 0.478/msr-04-004 MEASUREMENT SCENCE REVEW, Vlume 4, N. 3, 04 Methds fr Determinatin f Mean Speckle Size in Simulated Speckle Pattern. Hamarvá, P. Šmíd, P. Hrváth, M. Hrabvský nstitute f Physics f the Academy

More information

General Chemistry II, Unit I: Study Guide (part I)

General Chemistry II, Unit I: Study Guide (part I) 1 General Chemistry II, Unit I: Study Guide (part I) CDS Chapter 14: Physical Prperties f Gases Observatin 1: Pressure- Vlume Measurements n Gases The spring f air is measured as pressure, defined as the

More information

ES201 - Examination 2 Winter Adams and Richards NAME BOX NUMBER

ES201 - Examination 2 Winter Adams and Richards NAME BOX NUMBER ES201 - Examinatin 2 Winter 2003-2004 Adams and Richards NAME BOX NUMBER Please Circle One : Richards (Perid 4) ES201-01 Adams (Perid 4) ES201-02 Adams (Perid 6) ES201-03 Prblem 1 ( 12 ) Prblem 2 ( 24

More information

AP Physics Kinematic Wrap Up

AP Physics Kinematic Wrap Up AP Physics Kinematic Wrap Up S what d yu need t knw abut this mtin in tw-dimensin stuff t get a gd scre n the ld AP Physics Test? First ff, here are the equatins that yu ll have t wrk with: v v at x x

More information

Workshop 2 Data-Logger Principles

Workshop 2 Data-Logger Principles 1 The University f British Clumbia GEOG 309 / Andreas Christen February 7, 2008 Wrkshp 2 Data-Lgger Principles Gals 1 Becme familiar with a digital data-lgger. 2 Prgram the data-lgger and recrd a signal

More information

How do scientists measure trees? What is DBH?

How do scientists measure trees? What is DBH? Hw d scientists measure trees? What is DBH? Purpse Students develp an understanding f tree size and hw scientists measure trees. Students bserve and measure tree ckies and explre the relatinship between

More information

AP Statistics Notes Unit Two: The Normal Distributions

AP Statistics Notes Unit Two: The Normal Distributions AP Statistics Ntes Unit Tw: The Nrmal Distributins Syllabus Objectives: 1.5 The student will summarize distributins f data measuring the psitin using quartiles, percentiles, and standardized scres (z-scres).

More information

CONSTRUCTING STATECHART DIAGRAMS

CONSTRUCTING STATECHART DIAGRAMS CONSTRUCTING STATECHART DIAGRAMS The fllwing checklist shws the necessary steps fr cnstructing the statechart diagrams f a class. Subsequently, we will explain the individual steps further. Checklist 4.6

More information

Chemistry 20 Lesson 11 Electronegativity, Polarity and Shapes

Chemistry 20 Lesson 11 Electronegativity, Polarity and Shapes Chemistry 20 Lessn 11 Electrnegativity, Plarity and Shapes In ur previus wrk we learned why atms frm cvalent bnds and hw t draw the resulting rganizatin f atms. In this lessn we will learn (a) hw the cmbinatin

More information

ENSC Discrete Time Systems. Project Outline. Semester

ENSC Discrete Time Systems. Project Outline. Semester ENSC 49 - iscrete Time Systems Prject Outline Semester 006-1. Objectives The gal f the prject is t design a channel fading simulatr. Upn successful cmpletin f the prject, yu will reinfrce yur understanding

More information

The Sputtering Problem James A Glackin, James V. Matheson

The Sputtering Problem James A Glackin, James V. Matheson The Sputtering Prblem James A Glackin, James V. Mathesn I prpse t cnsider first the varius elements f the subject, next its varius parts r sectins, and finally the whle in its internal structure. In ther

More information

WRITING THE REPORT. Organizing the report. Title Page. Table of Contents

WRITING THE REPORT. Organizing the report. Title Page. Table of Contents WRITING THE REPORT Organizing the reprt Mst reprts shuld be rganized in the fllwing manner. Smetime there is a valid reasn t include extra chapters in within the bdy f the reprt. 1. Title page 2. Executive

More information

AP Statistics Practice Test Unit Three Exploring Relationships Between Variables. Name Period Date

AP Statistics Practice Test Unit Three Exploring Relationships Between Variables. Name Period Date AP Statistics Practice Test Unit Three Explring Relatinships Between Variables Name Perid Date True r False: 1. Crrelatin and regressin require explanatry and respnse variables. 1. 2. Every least squares

More information

Modelling of NOLM Demultiplexers Employing Optical Soliton Control Pulse

Modelling of NOLM Demultiplexers Employing Optical Soliton Control Pulse Micwave and Optical Technlgy Letters, Vl. 1, N. 3, 1999. pp. 05-08 Mdelling f NOLM Demultiplexers Emplying Optical Slitn Cntrl Pulse Z. Ghassemly, C. Y. Cheung & A. K. Ray Electrnics Research Grup, Schl

More information

MODULE FOUR. This module addresses functions. SC Academic Elementary Algebra Standards:

MODULE FOUR. This module addresses functions. SC Academic Elementary Algebra Standards: MODULE FOUR This mdule addresses functins SC Academic Standards: EA-3.1 Classify a relatinship as being either a functin r nt a functin when given data as a table, set f rdered pairs, r graph. EA-3.2 Use

More information

Distributions, spatial statistics and a Bayesian perspective

Distributions, spatial statistics and a Bayesian perspective Distributins, spatial statistics and a Bayesian perspective Dug Nychka Natinal Center fr Atmspheric Research Distributins and densities Cnditinal distributins and Bayes Thm Bivariate nrmal Spatial statistics

More information

RN53 Radon Detector. RN53-STK Starter Kit

RN53 Radon Detector. RN53-STK Starter Kit The RN53-STK Starter Kit has everything yu need t kick-start yur prject and is a great tl fr develpers: Prf f cncept prttypes as well as final cmmercial slutins. fr educatinal use: Natural science curses

More information

13. PO TREATMENT OF DEPT (DISTORTIONLESS ENHANCEMENT POLARIZATION TRANSFER)

13. PO TREATMENT OF DEPT (DISTORTIONLESS ENHANCEMENT POLARIZATION TRANSFER) 94 Prduct Operatr Treatment 3. PO TREATMENT OF DEPT (DISTORTIONLESS ENHANCEMENT POLARIZATION TRANSFER) DEPT is a ne-dimensinal sequence used as a tl fr unambiguus identificatin f the CH, CH, and CH 3 peaks

More information