ࡱ> VXUva ZjbjbYQYQ 3333=`???8?<?`TA\B\B\B\B\B\B\B,T.T.T.T.T.T.T,oVRXZT9\B\B\B\B\BZTJ\B\BTJJJ\B$\B\B,TJ 4>"\B,TJJJA mi?C`JJL T0TJMYJMYJJ``-$2d ``$2Physical Quantities and Their Units  symbolmeasurement unitsunit symbolunit dimensionslengthlmetermmmassmkilogramkgkgtimetsecondsselectric chargeQcoulombCCtemperatureTKelvinKKamount of substancenmolemolmolluminous intensityIcandlecdcdaccelerationameter per second squaredm/s2m/s2areaAsquare meterm2m2capacitanceCfaradFC2.s2/kg.m2densityDkilogram per cubic meterkg/m3kg/m3electric currentIampereAC/selectric field intensityEnewton per coulombN/Ckg.m/C.s2electric resistanceRohmWkg.m2/C2.semfxvoltVkg.m2/C.s2energyEjouleJkg.m2/s2forceFnewtonNkg.m/s2frequencyfhertzHzs-1heatQjouleJkg.m2/s2illuminationElux (lumen per square meter)lx cd/m2inductanceLhenryHkg.m2/C2magnetic flux fweberWbkg.m2/C.smagnetic flux densityBtesla (weber per square meter)Tkg/C.spotential differenceVvoltVkg.m2/C.s2powerPwattWkg.m2/s3pressureppascal (newton per square meter)Pakg/m.s2velocityvmeter per secondm/sm/svolumeVcubic meterm3m3workWjouleJkg.m2/s2 Determining the following Relationships by Dimensional Analysis Derived Unitexpressed as fundamental unitscomplete the equation in terms of farad (capacitance, C) EMBED Equation.2 C = Q/Vpotential difference (V) charge (Q) volt (potential diff., V) EMBED Equation.2 V=current (I) resistance (R) watt (power, P) EMBED Equation.3 P=current (I) potential difference (V) watt (power, P) EMBED Equation.3 P=current (I) resistance (R) watt (power, P) EMBED Equation.3 P=work (W) time (t) joule (energy, E) EMBED Equation.3 E=force (F) distance (d) joule (energy, E) EMBED Equation.3 E=work (W) joule (energy, E) EMBED Equation.3 E=mass (m) velocity (v) joule (energy, E) EMBED Equation.3 E=mass (m) acceleration (a) distance (d) Multiplicity of Units: It is no wonder that students get confused when solving problems when one looks at the variety of ways used to measure the same quantity. Note the variety of common units for pressure and note that they all must have the same fundamental units of:  EMBED "Equation" "Word Object2" \* mergeformat  Units of Pressure UNITDEFINITIONPascal Equivalents When it is Used Pascal (Pa) N/m2 1Standard SI Unit. Used when mass is measured in kg and area in meters. kiloPascal (kPa) 1000 N/m2 1000Practical metric unit of measuring gaseous, fluid or mechanical pressure (Pa is generally too small). bar 10,000 N/m2 100,000Practical metric unit of measuring atmospheric pressure. One bar is approximately 1 atmosphere. millibar (mb) 100 N/m2 100Weather reports. Note: Some weather maps drop the first two digits (e.g., 1013.3 mb may be reported as 13.3)barye (dyne/cm2) 0.1 N/m2 0.1Standard CGS unit. Used when measurements are made in centimeters and grams. torr1/760 of standard atmospheric pressure 133.3Used when pressure is measured with a mercury manometer or barometer.  mm HgPressure required to support a column of Hg 1 mm in height 133.3Blood Pressure measurements. Standard blood pressure is 120/80 (systolic/diastolic)cm H20Pressure required to support a column of water 1 cm in height 98.1Used when pressure is measured using simple water barometer or manometer.atmosphere (atm)Atmospheric pressure at sea level 101,325Used when a comparison to standard atmospheric pressure is desired.  PSI lb/in2 6894Common measurement in mechanical & structural engineering. Tire pressures are rated in PSI. 6.3. Fundamental Units $&]^egqrwy )+GHLMNOTVdeghijvxhh\CJEHhh\CJEH hh\6CJ hh\5hh\56CJ hh\5CJhh\ hh\CJ hh\5CJ hh\5;I$&'/AM]^ehUdh$Ifl ~kd$$IfPr Tt$(  4 Pa$$Ifa$l $a$ =YegmoqrwyW~kd$$IfPr Tt$(  4 Padh$Ifl $dh$Ifa$l  mWmWm$dh$Ifa$l dh$Ifl ~kd~$$IfPr Tt$(  4 PamWmWm$dh$Ifa$l dh$Ifl ~kd6$$IfPr Tt$(  4 PamWmWm$dh$Ifa$l dh$Ifl ~kd$$IfPr Tt$(  4 PamWmWm$dh$Ifa$l dh$Ifl ~kd$$IfPr Tt$(  4 Pa mWmWm$dh$Ifa$l dh$Ifl ~kd^$$IfPr Tt$(  4 Pa)+DINmWmWm$dh$Ifa$l dh$Ifl ~kd$$IfPr Tt$(  4 PaNOTVcfimWmWm$dh$Ifa$l dh$Ifl ~kd$$IfPr Tt$(  4 Paijvx~mWmWm$dh$Ifa$l dh$Ifl ~kd$$IfPr Tt$(  4 PamWmWm$dh$Ifa$l dh$Ifl ~kd>$$IfPr Tt$(  4 PamWmWm$dh$Ifa$l dh$Ifl ~kd$$IfPr Tt$(  4 Pa 4mWmWm$dh$Ifa$l dh$Ifl ~kd$$IfPr Tt$(  4 Pa$&,.0246^bjlrtvx|    " 6 : N R T V ` d x z | ~ hh\6CJOJQJhh\CJOJQJhh\hh\CJEHhh\CJEH hh\CJ hh\6CJhh\6CJOJQJK46^bjnmWmWm$dh$Ifa$l dh$Ifl ~kdf $$IfPr Tt$(  4 PamWmWm$dh$Ifa$l dh$Ifl ~kd $$IfPr Tt$(  4 PamWmWm$dh$Ifa$l dh$Ifl ~kd $$IfPr Tt$(  4 Pa  mWmWm$dh$Ifa$l dh$Ifl ~kd $$IfPr Tt$(  4 Pa " 6 : F L T mWmWm$dh$Ifa$l dh$Ifl ~kdF $$IfPr Tt$(  4 PaT V ` d p t mWmWm$dh$Ifa$l dh$Ifl ~kd $$IfPr Tt$(  4 Pa mWmWm$dh$Ifa$l dh$Ifl ~kd $$IfPr Tt$(  4 Pa   $ 6 mWmWm$dh$Ifa$l dh$Ifl ~kdn$$IfPr Tt$(  4 Pa   ( * , . 2 4 6 8 V X Z p r t v z |   0 4 F H J L P R T V X Z f j | ~  # $ + - : ; = > ? @ E G Q R S T V W X Z hh\6CJOJQJhh\;CJOJQJhh\hh\CJEHhh\CJEH hh\6CJ hh\CJO6 8 V Z f l mWmWm$dh$Ifa$l dh$Ifl ~kd&$$IfPr Tt$(  4 Pa  mWmWm$dh$Ifa$l dh$Ifl ~kd$$IfPr Tt$(  4 Pa  0 4 > B X mWmWm$dh$Ifa$l dh$Ifl ~kd$$IfPr Tt$(  4 PaX Z f j t x mWmWm$dh$Ifa$l dh$Ifl ~kdN$$IfPr Tt$(  4 Pa mWmWm$dh$Ifa$l dh$Ifl ~kd$$IfPr Tt$(  4 Pa    # mWmWm$dh$Ifa$l dh$Ifl ~kd$$IfPr Tt$(  4 Pa# $ + - 9 < ? mWmWm$dh$Ifa$l dh$Ifl ~kdv$$IfPr Tt$(  4 Pa? @ E G M O X mWmWm$dh$Ifa$l dh$Ifl ~kd.$$IfPr Tt$(  4 PaX Y Z \ ] ~~hhh$dh$Ifa$l ~kd$$IfPr Tt$(  4 PaZ \        ( = @ H L M N f g i j } ~  Ȼꦙwj7 hhh\EHU)j> hh\CJOJQJUV^J_Hjhhh\EHU)jO> hh\CJOJQJUV^J_Hjhhh\EHU)j[> hh\CJOJQJUV^J_Hjhh\U hh\6hh\ hh\5 hh\5CJ hh\CJ. Jkkd $$IfP\,@$ p  $4 Pa$dh$Ifa$l 2kd$$IfP@$$$4 Pa  ( A L M N T i jkkd$$IfP\,@$ p  $4 Pa$dh$Ifa$l dh$Ifl  j$dh$Ifa$l kkd$$IfP\,@$ p  $4 Padh$Ifl   (+8;<=KLNObcdefinrw{|}j-hhh\EHU)jÈ> hh\CJOJQJUV^J_HjW)hhh\EHU)j> hh\CJOJQJUV^J_Hj$hhh\EHU)j> hh\CJOJQJUV^J_Hjhh\U hh\CJhh\ hh\63  ,;<j$dh$Ifa$l dh$Ifl kkd%$$$IfP\,@$ p  $4 Pa<=CNfir{|j$dh$Ifa$l dh$Ifl kkd($$IfP\,@$ p  $4 Pa|}j$dh$Ifa$l dh$Ifl kkdE-$$IfP\,@$ p  $4 Pa  "#$%&).1;?@APQSTghijknsvj;hhh\EHU)j > hh\CJOJQJUV^J_Hj7hhh\EHU)j> hh\CJOJQJUV^J_Hjt2hhh\EHU)j刦> hh\CJOJQJUV^J_Hjhh\U hh\CJ hh\6hh\3j$dh$Ifa$l dh$Ifl kkd1$$IfP\,@$ p  $4 Pa&)2?@j$dh$Ifa$l dh$Ifl kkd_6$$IfP\,@$ p  $4 Pa@AGSknwj$dh$Ifa$l dh$Ifl kkd:$$IfP\,@$ p  $4 Pavvv$$Ifa$l ./kkdy?$$IfP\,@$ p  $4 Pa @A*+45?@;=ABWZ¹±±±±±±©±Ÿjhh\CJUhh\CJEHhh\CJEHhh\5;CJ hh\CJjU&8 hh\EHUjU&8 hh\EHUV hh\EHjxhh\EHU hh\5hh\ hh\CJ" ./Mkkd{@$$IfP\px,!  4 Pa$$Ifa$l 2kd@$$IfP!"4 Pa/0<=BCEkkdA$$IfP\px,!  4 Pa$Ifl  ,-5$Ifl kkdA$$IfP\px,!  4 Pa%$Ifl kkdaB$$IfP\px,!  4 Pa%&,78ABF$Ifl kkdC$$IfP\px,!  4 Pa$Ifl kkdC$$IfP\px,!  4 PaUV\$Ifl kkdGD$$IfP\px,!  4 PaG$Ifl kkdD$$IfP\px,!  4 PaGHY{|$Ifl kkdE$$IfP\px,!  4 Pa9$Ifl kkd-F$$IfP\px,!  4 Pa9:;<=WXYZ$a$kkdF$$IfP\px,!  4 Pa& 00P/ =!"#$%|HH(FG(HH(d'h$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4$$If!vh5( 55 55#v#v#v #v#v( :V P555 55( / 4 P4l$$If!vh5$#v$:V P$5$/  / 4 P4$$If!vh5 5p5 5 #v #v #vp#v :V P$5 5 5p5 /  / 4 P4DdB  S A ? BB lz6d˹Ga TYB lz6d˹G%!(+d'xTn@*-h;njn@ N뤭 TSpE_gNkuK7  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHJKLMNOPQRSTwW\Z[]^_a`bcdegfhjiklmonprqustxyz{|}~Root Entry? FȊ+Y@Data IqGWordDocument>ObjectPoolAȊ+Ȋ+_1051101275 FȊ+Ȋ+Ole PIC LPICT [  !"#$%&'()*+,-/258;>ADGJMPSVY\_abcdefghijklmosvwxyz|Li[ #dxpr  #" # currentpoint ",Times .+ C (2+ )s (2 (kg m (2"6/MTsave save def 40 dict begin currentpoint 3 -1 roll sub neg 3 1 roll sub 1120 div 1024 3 -1 roll exch div scale currentpoint translate 64 35 translate /thick 0 def /th { dup setlinewidth /thick exch def } def 16 th 0 474 moveto 1001 0 rlineto stroke /cat { dup length 2 index length add string dup dup 5 -1 roll exch copy length 4 -1 roll putinterval } def /ff { dup FontDirectory exch known not { dup dup length string cvs (|______) exch cat dup FontDirectory exch known {exch} if pop } if findfont } def /fs 0 def /cf 0 def /sf {exch dup /fs exch def dup neg matrix scale makefont setfont} def /f1 {ff dup /cf exch def sf} def /ns {cf sf} def /sh {moveto show} def 384 /Times-Roman f1 (C) 114 324 sh (s) 578 324 sh (kg m) 32 874 sh 224 ns (2) 384 152 sh ( ) 522 324 sh (2) 737 152 sh (2) 831 702 sh end MTsave restore dYMATHM C 2 s 2 kg m 2FMicrosoft EquationDNQE Equation.3tion.2CompObj YObjInfo Equation Native i_10511012635 FȊ+Ȋ+M C 2 s 2 kgm 2L="X@&dxpr  &"& currentpoint ",Times .+ kg ) )m (2 (C s (2"!&/MTsave Ole PIC  LPICT @CompObj.Ysave def 40 dict begin currentpoint 3 -1 roll sub neg 3 1 roll sub 1216 div 960 3 -1 roll exch div scale currentpoint translate 64 35 translate /thick 0 def /th { dup setlinewidth /thick exch def } def 16 th 0 474 moveto 1089 0 rlineto stroke /cat { dup length 2 index length add string dup dup 5 -1 roll exch copy length 4 -1 roll putinterval } def /ff { dup FontDirectory exch known not { dup dup length string cvs (|______) exch cat dup FontDirectory exch known {exch} if pop } if findfont } def /fs 0 def /cf 0 def /sf {exch dup /fs exch def dup neg matrix scale makefont setfont} def /f1 {ff dup /cf exch def sf} def /ns {cf sf} def /sh {moveto show} def 384 /Times-Roman f1 (kg) 32 324 sh (m) 600 324 sh (C s) 214 874 sh 224 ns ( ) 544 324 sh (2) 919 152 sh (2) 725 702 sh end MTsave restore dVMATHJ kg  m 2 C s 2FMicrosoft EquationDNQE Equation.3tion.2ObjInfo0Equation Native 1^_1051101342!FȊ+Ȋ+Ole 3B kg  m 2 Cs 2FMicrosoft EquationDNQE Equation.3: kgm 2CompObj4NObjInfo6Equation Native 7V_1051101328FȊ+Ȋ+ s 3FMicrosoft EquationDNQE Equation.3: kgm 2 s 3Ole 9CompObj:NObjInfo<Equation Native =V_1051101372FȊ+Ȋ+Ole ?CompObj@NObjInfo BFMicrosoft EquationDNQE Equation.3: kgm 2 s 3FMicrosoft EquationDNQE Equation.3Equation Native CV_1051101379+#FȊ+Ȋ+Ole ECompObj"$FNObjInfo%HEquation Native IV_1051101413(FȊ+Ȋ+Ole K: kgm 2 s 2FMicrosoft EquationDNQE Equation.3: kgm 2CompObj')LNObjInfo*NEquation Native OV_1051101434&0-FȊ+Ȋ+ s 2FMicrosoft EquationDNQE Equation.3: kgm 2 s 2Ole QCompObj,.RNObjInfo/TEquation Native UV_10511014492FȊ+Ȋ+Ole WCompObj13XNObjInfo4ZFMicrosoft EquationDNQE Equation.3: kgm 2 s 2LM h0}Equation Native [V_9420526939FȊ+Ȋ+Ole ]PIC 68^LPICT `jCompObj7;nRObjInfopOlePres000:<q(jRdxpr  R"R currentpoint ",Times .+ mass(time (2, Symbol +) distance" M;30 dict begin currentpoint 3 -1 roll sub neg 3 1 roll sub 2624 div 896 3 -1 roll exch div scale currentpoint translate 64 44 translate 884 261 moveto /fs 0 def /sf {exch dup /fs exch def dup neg matrix scale makefont setfont} def /f1 {findfont dup /cf exch def sf} def /ns {cf sf} def 384 /Times-Roman f1 (mass) show 28 793 moveto (time) show 725 622 moveto 224 ns (2) show 953 793 moveto 384 /Symbol f1 (\264) show 1244 793 moveto 384 /Times-Roman f1 (distance) show /thick 0 def /th { dup setlinewidth /thick exch def } def 16 th 0 401 moveto 2522 0 rlineto stroke end d^MATHR* masstime 2 distancealFMicrosoft Equation 2.01ELO Equation.2R masstime 2 distance Equation ՜.+,0  hp  '(California State UniversOle10Native=rVOle10FmtProgID t 1TableMYSummaryInformation(@3ι pK0?(ET'aNA#7@y.N a_OSp;T[U#Bbż0n,8e,InkT#>5GUN@KNjj7K aYJVB*2t>^y9!\Cd=-1C6qP̦6Y g= \^6l/+MY>_0uNup <(mQn2_COoT76[pX%fÆ7y+~i6ft'1o~ (oH! VH.c)QF]$_]HU Qـ-!&(loa(1)\g{d mk8*c,Qm'JO2^|\rT TL7>|\r$pxTn@-G[jIizNk뤩J%z ޡ<7#p+#'zJk|\r܂;pÜ\/^5i~h^y &8E\|d o.O& #m3g`XyҒTCbV2,_؎S&(2ؔݲ91)8h06lUZgl)x6D=c#͑"o7n P}B0Ja qE$(;Y4g Zww ROyƲHaÎ{&[y&pEYݐ2>( 5o70%y7QY>cMGeFV_gϚϘ~ W 2aKQcCrT^:Vs#s!DYd:-ɛ0#/cq-a(1)kdF[ԔK+F~bD(ø`A{ɀgyV'3P@k5/ͷ/G&\X."4)Q06>jU* TȋԸ$ Q""N5UXv+maC=YsZ=9H5n}N\oH[d:l]+sqO$$If!vh5 5p5 5 #v #v #vp#v :V P$5 5 5p5 / 4 P4DdlB ) S A?  BUxnTzW?12 T)xnTzW?%(+pxTn@-.TC%!!9RKbMRN K/#:bZ^'MU*KOα<7[8s0k;Jk|3,] Uϋ_k_IJ UWp A r7'` xOaq4<1j~˹2|Lixg_ wac0,` )rV#TM-&윛 ? dϤ_E1жJPg:uC/# al"#C°C۳glus܈GR6lS٨OB4p}fpvG}9ȻeD$3x b1`$O5G!1gQRP J)1b)QxZM$[c Ve+e GPq#;ec}6+l;9HZy"9)ц31%*ҁv̴/x2L#c23 $Zfv;U3 UC-v~BJ5/ ϜBLW)E]"5,( =Bʨ8AbObȠpތ,]q\hHjy-bc`fSEqf\f=eW(Ѷ0*Y6s:l]+sqO$$If!vh5 5p5 5 #v #v #vp#v :V P$5 5 5p5 / 4 P4DdlB . S A? BUxnTzW?1E7 T)xnTzW?%(+pxTn@-.TC%!!9RKbMRN K/#:bZ^'MU*KOα<7[8s0k;Jk|3,] Uϋ_k_IJ UWp A r7'` xOaq4<1j~˹2|Lixg_ wac0,` )rV#TM-&윛 ? dϤ_E1жJPg:uC/# al"#C°C۳glus܈GR6lS٨OB4p}fpvG}9ȻeD$3x b1`$O5G!1gQRP J)1b)QxZM$[c Ve+e GPq#;ec}6+l;9HZy"9)ц31%*ҁv̴/x2L#c23 $Zfv;U3 UC-v~BJ5/ ϜBLW)E]"5,( =Bʨ8AbObȠpތ,]q\hHjy-bc`fSEqf\f=eW(Ѷ0*Y6s:l]+sqO$$If!vh5 5p5 5 #v #v #vp#v :V P$5 5 5p5 / 4 P4DdlB 1 S A? BUxnTzW?1; T)xnTzW?%(+pxTn@-.TC%!!9RKbMRN K/#:bZ^'MU*KOα<7[8s0k;Jk|3,] Uϋ_k_IJ UWp A r7'` xOaq4<1j~˹2|Lixg_ wac0,` )rV#TM-&윛 ? dϤ_E1жJPg:uC/# al"#C°C۳glus܈GR6lS٨OB4p}fpvG}9ȻeD$3x b1`$O5G!1gQRP J)1b)QxZM$[c Ve+e GPq#;ec}6+l;9HZy"9)ц31%*ҁv̴/x2L#c23 $Zfv;U3 UC-v~BJ5/ ϜBLW)E]"5,( =Bʨ8AbObȠpތ,]q\hHjy-bc`fSEqf\f=eW(Ѷ0*Y6s:l]+sqO$$If!vh5 5p5 5 #v #v #vp#v :V P$5 5 5p5 / 4 P4^$$If!vh5"#v":V P5"/ 4 P4$$If!vh55 55 #v #v#v #v:V P5 55 5/ 4 P4$$If!vh55 55 #v #v#v #v:V P5 55 5/ 4 P4$$If!vh55 55 #v #v#v #v:V P5 55 5/ 4 P4$$If!vh55 55 #v #v#v #v:V P5 55 5/ 4 P4$$If!vh55 55 #v #v#v #v:V P5 55 5/ 4 P4$$If!vh55 55 #v #v#v #v:V P5 55 5/ 4 P4$$If!vh55 55 #v #v#v #v:V P5 55 5/ 4 P4$$If!vh55 55 #v #v#v #v:V P5 55 5/ 4 P4$$If!vh55 55 #v #v#v #v:V P5 55 5/ 4 P4$$If!vh55 55 #v #v#v #v:V P5 55 5/ 4 P4$$If!vh55 55 #v #v#v #v:V P5 55 5/ 4 P4DocumentSummaryInformation8uPCompObj{X Oh+'0  8 D P\dlt|'6.3 Fundamental Units NORMAN HERRNormalCollege Education3Microsoft Word 11.3@G@+@+ G<PICT2d 3'MSWD 3',Times .(16.3.)1)S Fundam-(1ve-)Kntal-) -)*U-)xn-)Titsm-l` )  -(d PHYSICAL QUA-(dN-)TITIES-(d -)2AND-(d -)3THEIR-(d~ -)2U-)N-)ITSc-b(d -%8(j \-[Q(j  3 N-M(?   3?-(? symbolO-N(?  C3-(?measur-(?e-)Kment-(? -)*u-)TnitsO-N)  3-(?unit-(? -(Nsymb-(o-)TlO-N).  3$;-(?iunit -(? d-)Tim-)e-)Knsio-(?"n-)TsN-M)A  19111?1?C1C1111$;1$;$?91*1*1?*C1*1*1$;*$? 3-( Slen-)gt-)hX-W {)\  3?-( SlW-Vb).  C3-( SmeterX-W {( S"  3-( SmX-W {)  3$;-( SmX-W {)  1*P1*61BN1*P1*6?1BN?1*?PC1*C61BCN1*P1*61BN1*P1*6$;1BN$;1*$;P$?1P {1P {1P? {C1P {1P {1P$; {$? 3-( massX-W {( ;  3?-( hmX-W {)  C3-( ki-)l-)/ogr-)a-)TmX-W {)  3-( kgX-W {)  3$;-( kgX-W {)  1 { 1 { 1 { 1 { ?1 {? C1 {C 1 { 1 { 1 { 1 { $;1 {$; $?1  1  1 ? C1  1  1 $; $? 3-( t-)7i-)/meX-W {)  3?-( tW-Vb).  C3-( seco-( n-)]dX-W {)\  3-( #sW-Vb)A  3$;-( sW-Vb)A  1  1  1  1  ?1 ? C1 C 1  1  1  1  $;1 $; $?1  1  1 ? C1  1  1 $; $? 3-(  electric c-( Uh-)]ar-)g-)TeW-Vb)J  3?-( lQW-Vb)x  C3-( cou-)lo-)mbX-W {)  3-( CW-Vb)x  3$;-( CW-Vb)x  1  1  1  1  ?1 ? C1 C 1  1  1  1  $;1 $; $?1  1  1 ? C1  1  1 $; $? 3-(te-)m-)per-)a-)TtureX-W {( S  3?-(vTX-W {)e  C3-(Kel-)v-)TinX-W {)  3-(KX-W {)  3$;-(KX-W {)  1  1  1  1  ?1 ? C1 C 1  1  1  1  $;1 $; $?1 <1 <1 ?<C1 <1 <1 $;<$? 3-(Cam-)ou-)nt-) -)*o-)Tf-)7 -)*s-)Aub-)stanceX-W {(C   3?-(CznX-W {)\  C3-(Cm-)o-)TleX-W {)x  3-(Cm-)o-)TlX-W {).  3$;-(Cm-)o-)TlX-W {).  1<@1<@1<@1<@?1<?@C1<C@1<@1<@1<@1<@$;1<$;@$?1@l1@l1@?lC1@l1@l1@$;l$? 3-(sl-).u-)]m-)i-)/n-)\o-)Tus i-)n-)]t-)7e-)Knsi-)t-)8yX-W {)S  3?-(sIW-Vb)A  C3-(sca-)n-)]dleX-W {)  3-(scdX-W {)  3$;-(scdX-W {)  1lp1lp1lp1lp?1l?pC1lCp1lp1lp1lp1lp$;1l$;p$?1p1p1p?C1p1p1p$;$? 3-( accelerat-(+i-)/onO-N)  3?-(a;-:)S  C3-(meter p-(ze-)Kr-)7 -)*sec-)o-)Tnd-) -)*squar-(e-)KdO-N)S  3-(m/s t(q2 N-M+:2  3$;-(m/s t(q2 N-M+:2  1111?1?C1C1111$;1$;$?111?C111$;$? 3-(areaN-M(  3?-(vA<-;)e  C3-(square m-(e-)KterO-N)  3-(m t(g2 O-N+:2  3$;-(m t(~2 O-N+:2  1111?1?C1C1111$;1$;$?111?C111$;$? 3-( capacitanceO-N(  3?-(qC;-:)o  C3-(faradO-N(  3-(FO-N)\  3$;-(C t(l2. +W2s t( 2 +:2/kg (!. -+&2m t-(!2 O-N+:2  1111?1?C1C1111$;1$;$?1-1-1?-C1-1-1$;-$? 3-(4densityO-N(4  3?-(4lD;-:)x  C3-(4kil-)o-)Tgr-)a-)Km-) -)*per-) c-)uubic-(4m -)*m-)e-)KterO-N)  3-(4|kg/m t(3 O-N+:2  3$;-)kg/m t( R3 O-N+:2  1-11-11-11-1?1-?1C1-C11-11-11-11-1$;1-$;1$?11]11]11?]C11]11]11$;]$? 3-(d electric c-(d9u-)Trr-)ne-)Kn-)StN-M)/  3?-(dI;-:)7  C3-(dampereO-N(dl  3-(dAN-M)x  3$;-(dC/sN-M)  1]a1]a1]a1]a?1]?aC1]Ca1]a1]a1]a1]a$;1]$;a$?1a1a1a?C1a1a1a$;$? 3-(electric-( -)+field-(  -)*in-)tensityO-N(   3?, Geneva-(xE;-:)`  C3-(newt-(o-)Tn)S per c-(o-)Tul-)o-)TmbO-N)  3-(N/CN-M(  3$;-(kg (b. +&2m/C (b . +&2s t(b!N2 N-M+:2  1111?1?C1C1111$;1$;$?111?C111$;$? 3-( electric re-(ps-)Bist-)a-)KnceN-M)  3?-(vR<-;)e  C3-(ohmO-N(  3 HH f p>G$ U@UUU UP U@U@UTUU@U@UTUTUU@UPUTUTUPUU@U@UUP UTUUPUU@U@UUPUTUTUPUUPUU@U@U@UPUUPUUTUTUTUTUUPUUPU@UPU@UPU@U@U@U@UPU@UPU@UPU@UPUUTUUTUUTUUTUUTUUTUUTUUTUUTUUTUUTUUTUUTUUTUUPU@UPU@UPU@UPU@UPU@U@UPU@UPU@UPUUTU UTUUTUTUUTUUPU@UPU@U@UPU UTUUTUTUUPU@U@UPUUTUTUUPU@U@UPUUUTUPU@ UUUPUPU@UUUPPUU@PUU@@PUUP@PUUUUP@TUUPU@TUUPU@TUUPU@TUUPU@UUUPU@UUUPU@U@UUPU@UPUUPU@UUUUPUU@UUTUUPU@UU@UU@UU@UU@UU@UU@UU@UU@UU@UU@UU@UU@UU@UU@UU@(  3$;-(kg (. +&2m t( J2 +:2/C t(!!2. +W2sO-N)A  1111?1?C1C1111$;1$;$?111?C111$;$? 3-(emfO-N(  3? {HH f p?{ws$ UTUP UPP UUP U@xUUT UUP UUP UU@ UU@xUUUUUUUUUUUxUU@UPUU@UUUPU@UUTU@UUU@xUUPU@ UU@ UUTUU UT U@ TUT UPUU@UT U^TUPU@U TAUPU@U@U UQTTPUP UPbUPUPUPUP UP/UPUPUTUT UU|UU@UPUUPUP UUTU U@ U@w UP UP U@ U@U U@UT TUP UPUUUPTU@tU@UTP U@UUTP PZU@U@U@U UCUTTT TZUTUTUUUU UU@VUU@UUPUUTU@UpUU@UP U@ UPLU U@ UPUPUT UT UTUUUUUUUTUTUTUTUPUPU@U@U@UTTPU@UTP TU@UUTUUPUTUPUU@U UPU UP UTUT UP;-:(  C3-(voltO-N(  3-(VN-M)x  3$;-(kg (. +&2m t( J2 +:2/C (!!. +&2s t(!2 O-N+:2  1111?1?C1C1111$;1$;$?111?C111$;$? 3-($energyO-N($  3?-($vE<-;)e  C3-($jouleO-N($  3-($#JN-M)A  3$;-($kg (. +&2m t( J2 +:2/s t( 2 O-N+:2  1!1!1!1!?1?!C1C!1!1!1!1!$;1$;!$?1!N1!N1!?NC1!N1!N1!$;N$? 3-(UforceO-N(U1  3?-(UvF<-;)e  C3-(Unewt-(Uo-)TnO-N)S  3-(UNN-M)x  3$;-(Ukg (#. +&2m/s t(# 2 O-N+:2  1NR1NR1NR1NR?1N?RC1NCR1NR1NR1NR1NR$;1N$;R$?1R~1R~1R?~C1R~1R~1R$;~$? 3-(fre-)q-)TuencyO-N(u  3?-(f;-:).  C3-(hertzO-N(  3-(HzN-M)  3$;-(s t(S>-)'1 N-M+:2  1~1~1~1~?1~?C1~C1~1~1~1~$;1~$;$?111?C111$;$? 3-(heatO-N(  3?-(lQ;-:)x  C3-(jouleO-N(  3-(#JN-M)A  3$;-(kg (. +&2m t( J2 +:2/s t( 2 O-N+:2  1111?1?C1C1111$;1$;$?111?C111$;$? 3-(ill-)u-)Tm-)i-)/nati-)o-)TnO-N)S  3?-(vE<-;)e  C3-(lux (l-(:u-)Tmen-( -)*p-)Se-)Kr-)7 -)*square-( -)*m-)e-)Kte-)xr)N-M)p  3-(lx N-M)  3$;-(cd/m t( I2 O-N+:2  1111?1?C1C1111$;1$;$?1 1 1? C1 1 1$; $? 3-(!in)du-)c-)KtanceO-N(!  3?-(!zL<-;)\  C3-(!henryO-N(!  3-(!HN-M)x  3$;-(!kg ( . +&2m t( J2 +:2/C t( !!2 O-N+:2  1  1  1  1  ?1 ? C1 C 1  1  1  1  $;1 $; $?1 !>1 !>1 ?!>C1 !>1 !>1 $;!>$? 3-("Emagn-("EMe-)Ktic-) -)*f-)7l-)/ux N-M)  3? yHH f p@y!l"n$xxUU@UU@UU@UU@ UU@xUU@UU@UU@UU@ UU@xUU@UU@ UU@ UUP UUP UUP UUP UUP UUP UUP^ UUP UUP UUP UUP UUPA UUP UUP UUP UUP UUPQ UUP UUP UUP UUP UUPb UUP UUP UUP UUP UUP/ UUP UUP UUP UUP UUP|U UPU@U UPwU@ UPUTUUPUUUUTU@UPUUTUTUUUTUU TUUTU@U @UUTUPUUUTUTUTUUTUtUPUUTU@U@UUTUPU@UUTUTUUUTUUTUUTU@UTUUTU@UPUUTUPU@UUTUTU@UUTUTUUUTUZUUUTUUTUUTU@UTUUTU@UPUUTUPUPUUTUPCUPUUTUTU@UUTUTU@UUTUTU@UUTUU@UUTUZUUUTUUUUTU@UUUTU@UUUTU@UTUUTU@VUTUUTUPUTUUTUPUTUUTUPUTUUTUPUTUUTUPpUPUUTUPUPUUTUPUUTUPUUTUPUUTLUPUUTUPUUTUPUUTUPUUTUPUUTUPUUTUPUUTUPUUTUPUUTUPUUTUPUUTUPUUTUPUUTUPUUTUPUUPUTUUPUTUUPUTUUPUTUUPUTUUPUTUU@UUU@UUU@UUU@UUUUUUU@UUU@UUTU@UUTUPUUTUPUUPUPUUPUTUU@UTUU@UU@UUU@UU@U@UTU@U@UTUPU@UPUPU@U@UTU@U@UTU@UUU@UTU@U@UPUPU@U@UTU@U@UU@UU@U@UTUPU@U@UTU@UU@U@UTUTU@UPUPUAU UTU@ UTU UP UPU@U@ U@ U@< U@U@ U@ U@,e U@- U@ U@ U@CU@ U@ U@< U@1 U@CU@ U@)U@ U@- U@5sU@ U@ U@4 U@ U@( U@ U@9 U@XU@ U@ U@X U@1 U@ U@p U@U@ U@+U@U@ U@ U@- U@ U@ U@- U@ U@9 -%, Symbol;-:("(  C3-("EweberO-N("E  3-("EWbO-N)  3$;-("Ekg (". +&2m t(" J2 +:2/C ("!!. +&2sN-M)A  1!>!B1!>!B1!>!B1!>!B?1!>?!BC1!>C!B1!>!B1!>!B1!>!B1!>!B$;1!>$;!B$?1!B"o1!B"o1!B?"oC1!B"o1!B"o1!B$;"o$? 3-(#vmagn-(#vMe-)Ktic-) -)*f-)7l-)/ ux densityO-N(#v   3?-(#vvB<-;)e  C3-(#vtesla (weber -(#vp-)Ter-) -)*square-(#v -)*m-)e-)Kt-).e-)Kr)O-N)n  3-(#vTO-N)e  3$;-(#vkg/C (#D @. +&2sN-M)A  1"o"s1"o"s1"o"s1"o"s?1"o?"sC1"oC"s1"o"s1"o"s1"o"s1"o"s$;1"o$;"s$?1"s#1"s#1"s?#C1"s#1"s#1"s$;#$? 3-($pote-($n-)Ttial-) -)*d-)Sif-)gfe-)r-)8enceN-M($   3?-($vV<-;)e  C3-($voltO-N($  3-($VN-M)x  3$;-($kg ($t. +&2m t($t J2 +:2/C ($t!!. +&2s t($t!2 O-N+:2  1##1##1##1##?1#?#C1#C#1##1##1##1##$;1#$;#$?1#$1#$1#?$C1#$1#$1#$;$$? 3-(%powerO-N(%{  3?-(%vP<-;)e  C3-(%wattO-N(%  3-(%WN-M)  3$;-(%kg (%. +&2m t(% J2 +:2/s t(% 3 O-N+:2  1$$1$$1$$1$$?1$?$C1$C$1$$1$$1$$1$$$;1$$;$$?1$%1$%1$?%C1$%1$%1$$;%$? 3-('pressureO-N('  3?-('p;-:)S  C3-(' pascal (new-('to-)n-)S -)*per-) -)*square -('m-)eter)O-N('P  3-('PaO-N)  3$;-('kg/m (& R. +&2s t(& 2 O-N+:2  1%&1%&1%&1%&?1%?&C1%C&1%&1%&1%&1%&$;1%$;&$?1&'/1&'/1&?'/C1&'/1&'/1&$;'/$? 3-((6veloc-((6Di-)/tyO-N)  3?-((6v;-:)J  C3-((6meter p-((6ze-)Kr-)7 -)*sec-)o-)TndO-N)  3-((6m/sN-M)  3$;-((6m/sN-M)  1'/'31'/'31'/'31'/'3?1'/?'3C1'/C'31'/'31'/'31'/'31'/'3$;1'/$;'3$?1'3(_1'3(_1'3?(_C1'3(_1'3(_1'3$;(_$? 3-()fvol-)u-)TmeO-N)  3?-()fvV<-;)e  C3-()f cubic met-()fe-)KrO-N)7  3-()fm t()4g3 O-N+:2  3$;-()fm t()4~3 O-N+:2  1(_(c1(_(c1(_(c1(_(c?1(_?(cC1(_C(c1(_(c1(_(c1(_(c1(_(c$;1(_$;(c$?1(c)1(c)1(c?)C1(c)1(c)1(c$;)$? 3-(*wo-)r-)8kO-N)S  3?-(*cW<-;)  C3-(*jouleO-N(*  3-(*#JN-M)A  3$;-(*kg (*e. +&2m t(*e J2 +:2/s t(*e 2 O-N+:2  1))1))1))1))?1)?)C1)C)1))1))1))1))$;1)$;)$?1)*1**91**1)*1**1**?1)?*C1*?*C1*C*1)*1**1**1)*1**1**$;1)$;*$?1*$;*$?9 3' d-d(+x  !3!3'!'! 3!3'!'! 3!3'!'! 3!3'!'! 3!3'!'! 3!3'!'! 3!3'!'! 3!3'!'! 3!3'!'! 3 !3'! '! 3 !3'! '! 3 !3'! '! 3 !3'! '! 3 !3'! '! 3!3'!'! 3!3'!'! 3!3'!'! 3!3'!'! 3~!3~'!'! 3}!3}'!'! 3|!3|'!'! 3{!3{'!'! 3z!3z'!'! 3y!3y'!'! 3x!3x'!'! 3w!3w'!'! 3v!3v'!'! 3u!3u'!'! 3t!3t'!'! 3s!3s'!'! 3r!3r'!'! 3q!3q'!'! 3p !3p'! '! !!3o!!3o'!!'!!! ""3n"!3n'!"'!"" ##3m#!3m'!#'!## $$3l$!3l'!$'!$$ %%3k%!3k'!%'!%%ity, Northridgej 6.3 Fundamental Units Title FMicrosoft Word DocumentNB6WWord.Document.8D@D NormalCJOJQJkH'mH sH tH J@J Heading 1a$dh  5;CJD@D Heading 2^8` 5;>@!> Heading 3`h 66@16 Heading 4`CJDA@D Default Paragraph FontZi@Z  Table Normal :V 4 l4a _H(k(No List 4 @4 Footer  !4@4 Header  !.)@. Page NumberNON diagram footera$$dh 56CJ>O2> table font a$dhCJ>OB> TITLEa$dh&d5CJHORH section title a$dh5;Z(zzz[Z$&'/AM]^egmoqrwy )+DINOTVcfijvx~ /157BCGINP[\cekmvw} +-36@AWYy{ #$+-9<?@EGMOXYZ\] (ALMNTi ,;<=CNfir{|}&)2?@AGSknw   . / 0 < = B C E     , - 5 % & , 7 8 A B F      U V \ G H Y { | 9:;<=WX[000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00000 0 0 0 00 0 00ˀ0ˠ0ˠ0ˠ0ˀ000ˠ00 00 0000 00 00 0000 00 00 0000 00 00 0000 00 00 0000 00 00 0000 00 00 0000 00 00 000 0 000000000000 0 0 0 00 0 0 00 00 00 0 0 00 00 00 0 0 00 00 00 0 0 00 00 00 0 0 00 00 00 0 0 00 0 00 00 0 00 0 00 0 0 0 0 00 0 0 0 0 00 00 0 00 00 00 0 0 0000pˀ0a]^qrNOijBC[\vw@A#$?@XYMN<=|}@A. /   % &   G H 9:[ {\ p .3. ~y]'~y H    * M h   @@@@@@ @?=6*  asdmcEA (e Pecca)pYUZ 0eccai u  p<trlA ()^`hH MJQJo(hHƷ pp^`OJQJ Q(ohHƧ   lboihS?  <ltnc  ltnc`  ltncP mltncp iPltnchp" m` ltnc3> @ltncW@ @ N   2 m  H   N z ` !   rz   rz  hH m  p pgv _  0x h` 6 t 8h  '    CP Z Z %/37<eNi4 T 6  X # ? X <|@/%G9Z !"#$&'()*+,-.01245689:;=>?@ABCDEFGYi}Nbd"$SgiZ::::::::::CF -235Y^af & + T W =X[(./:AEMQ^defglmnoprvwxy()*+0DEIJOSV\cdfgjux}#1479CFIMPR\bejmow| $-268AIY^{}   $*-29:<=@DGLOQ(1AGNRU^ ',6=ADIimrv} )-2:AFHNnrw   5 F & + - 1   B G H R =BPX[:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::$&'/AM]^egmoqrwy )+DINOTVcfijvx~ /157BCGINP[\cekmvw} +-36@AWYy{ #$+-9<?@EGMOXYZ\ (MNi <=Nfi|}&)@ASkn  . / < B E    , 5 % & 7 A F    U \ G H Y { 9:[Q@7@{b4Z0 @00 0@UnknownGTimes New Roman5Symbol3 Arial5 Geneva9MNew York;Helvetica3Times"᣻F⣻F +xx4djY+6.3 Fundamental Units NORMAN HERRCollege Education