BOBOҠd$H$H$HH..Ҭ-Z(Charles E. Miller, Jr.x HHHV,(hh hd'0F fE/fH(l/L"">@ Ә ''pE\<L1H  HE4(^3DSET&0-FlF(h=ӌ~<PI\"XL H0  1 e f v         / E Y m        ) 7 O ^ _ b r s       F I L ^ a            X k z } ~         , D U V W X a d                + 7 v x { ~            01etuwx}  UUUUUX X i!i!{"{"UUUY#i!{" %$%%-%.23%4I%J]%^q%r%%'''')+,cd$%T Ui j  $ '^_ $`lm $n o- *09 $: ;m's' * * * * *  * ^'a'$ $ $y#y#$&$GKK(g??BB AA UAA ?? 7?? == ==iBBEEBB7CCURRRRNllll\TT{TT` GKKJ??_O uuTT // B{!""_#ssb$>, , %&'   (Ussy) |*( +j,-.aF$PHY 1150 Doug Davis Chapter 16; Waves and Sound 16.2, 12, 14a, 14b, 16, 17, 21, 22, 28, 32, 49, 54 16.2 v = f l l = v/f   16.12     T = v2 (m/L) = (30 m/s)2 (0.6 kg/m) T = 540 N 16.14a          16.14 b       16.16 f1 = 440 Hz fn = n f1 f2 = 880 Hz f3 = 1 760 Hz f4 = 3 520 Hz f5 = 7 040 Hz f6 = 14 080 Hz f7 = 28 160 Hz will be ultrasonic, and cannot be heard 16.17 The velocity of the wave on the string is given by v = f l l/2 = 0.70 m l = 1.4 m v = (440 Hz) (1.4 m) v = 616 m/s  l/2 = 0.588 m That is, your finger should be placed so the string that vibrates is 0.588 m (or 0.59 m) long. 16.21 l/2 = 2.8 m/5 = 0.56 m l = 1.12 m f = 60 Hz = 60 (1/s) v = f l = (60/s) (1.12 m) = 67.2 m/s   T = v2 (m/L)  T = v2 (m/L) = (67.2 m/s)2 (0.01875 kg/m) = 84.67 N T = m g  m = 8.64 kg 16.22  l1 = 4.0 m v = f l   The next overtone is such an open pipeexactly like the resonance tubes we used in the labhas (3/4) of a wavelength. (3/4)l2 = 1.0 m l2 = 1.33 m  16.28 This one should be (very) familar! (1/2)l = 0.600 m 0.360 m = 0.360 m 0.120 m = 0.240 m l = 0.480 m v = f l  16.32 v = [331 + (0.60)(42)] m/s v = [331 + 25] m/s v = 356 m/s 16.49   f ' = (500 Hz) (1.079) = 540 Hz  f ' = (500 Hz) (0.932) = 466 Hz  f' = (500 Hz) (1.074) = 537 Hz  f' = (500 Hz) (0.926) = 463 Hz 16.54  f = 550 Hz v = 340 m/s vobs = 0 vs = ? (we are looking for the velocity of the source). A beat frequency of 2 Hz means the frequency heard from the moving train's horn must be different from 550 Hz by 2. Therefore, for the approaching train, the frequency heard must be 552 Hz, and for the train going away, the frequency heard must be 548 Hz.   340 = (1.0036)(340 vs) = 341.236 1.0036 vs 1.0036 vs = 1.236    340 = (0.9964)(340 + vs) = 338.764 + 0.9964 vs 0.9964 vs = 1.236  Remember, however, the "beat frequency of 2 Hz" is stated to only one significant figure. We are unjustified in keeping three significant figures in our answers.ZN22DSET.HF0 | /6* |D   "Go "xprWEwdxpr WEWE pSymbolWE qlWE q WEp"New Century SchlbkWE q" , Symbol .*l WE q"=WE q" WE q" WE" 7WE,"New Century Schlbk")  = WE q"3WE q"4WE q"0WE q" WE q"mWE q"/WE q"s ( 340 m/sWEWE q"5WE q"0WE q" WE q"(WE q"1WE q"/WE q"sWE q")+50 (1/s)WE q" WE q"=WE q" WE q" WE q"6WE q".WE q"8WE q" WE q"m(Q = 6.8 mDSET.H | F8/6* |D   "Go "xprWEwdxpr WEWE pSymbolWE qlWE q WEp"New Century SchlbkWE q" , Symbol .*l WE q"=WE q" WE q" WE" NWE,"New Century Schlbk")  = WE q"3WE q"4WE q"0WE q" WE q"mWE q"/WE q"s ( &340 m/sWE WE q"2WE q"0WE q" WE q"0WE q"0WE q"0WE q" WE q"(WE q"1WE q"/WE q"sWE q")( 20 000 (1/s)WE q" WE q"=WE q" WE q"0WE q".WE q"0WE q"1WE q"7WE q" WE q"mWE q" WE q" WE q"=WE q" WE q" WE q"1WE q".WE q"7WE q" WE q"cWE q"m(h = 0.017 m = 1.7 cmDSET.H |#y/6* |D#y y# #y"Go !w"xprWEwdxpr"WE+WEp"New Century SchlbkWE q"lWE q"iWE q"nWE q"eWE q"aWE q"rWE q" WE q"mWE q"aWE q"sWE q"sWE q" WE q"dWE q"eWE q"nWE q"sWE q"iWE q"tWE q"yWE q" WE q" WE q"=WE q" WE"1WE,"New Century Schlbk" .!w!w*linear mass density = WE q"mWE q"aWE q"sWE q"s(massWEWE q"lWE q"eWE q"nWE q"gWE q"tWE q"h(lengthWE q" WE q"=WE q" WE"WE( = WE q"m(mWEWE q"L+LWE q" WE q"=WE q" WE"+WE( = WE q"5WE q".WE q"4WE q" WE q"kWE q"g( 5.4 kgWEWE q"9WE q".WE q"0WE q" WE q"m+9.0 mWE q" WE q" WE q"=WE q" WE q" WE q"0WE q".WE q"6WE q" WE q" WE"dWE(0 = 0.6 WE q"kWE q"g( dkgWEWE q"m+mDSET.HF4 |/6* |D  "Go "xprWEwdxpr "WE WEp"New Century SchlbkWE q"vWE q" WE q"=WE q" WE" AWE ,"New Century Schlbk" .*v = WE q"2WE q" WE q"xWE q" WE q"9WE q".WE q"0WE q" WE q"m(  2 x 9.0 mWEWE q"0WE q".WE q"6WE q" WE q"s+0.6 sWE q" WE q"=WE q" WE q"3WE q"0WE q" WE" ~WE(Z = 30 WE q"m( ~mWEWE q"s+ sDSET.H |K</6* |DK K K"Go I"xprWEwdxpr "WEWEp"New Century SchlbkWE q"vWE q" WE q"=WE q" WE2"I###WE,"New Century Schlbk" .II*v = WE")WEWE q"T( 3TWEWE q"mWE q"/WE q"L()m/LWEDSET.H |?/6* |D? ? ?"Go ="xprWEwdxpr "WEWEPWEWEp"New Century SchlbkWE q"v,"New Century Schlbk" .==*vWEWEWE q"2 ( 2WE q" WE q"=WE q" WE" WE + = WE q"T( )TWEWE q"mWE q"/WE q"L(m/LDSET.HF< |B/6* |DD D D"God SPNTdSPNT LH B UUUU"U"d SPNT LH"Ad SPNT "Ud SPNT d SPNT d SPNT  "$d SPNT "Hd SPNT "ld SPNT "d SPNT "d SPNT "d SPNT "d SPNT " d SPNT "Dd SPNT "hd SPNT "d SPNT "d SPNT  d SPNT d SPNT dSPNT &nKsd SPNT , Geneva .BB+21 cm UUUU"Fd SPNT dSPNT &ld SPNT (0G2"DGd SPNT dSPNT &kd SPNT (/p3"Cpd SPNT dSPNT &kd SPNT ) 4"Cd SPNT dSPNT &ld SPNT +&5"Dd SPNT dSPNT &lHd SPNT )&6 cm"Dd SPNT d SPNT d SPNT  ""d SPNT "%d SPNT #Gd SPNT #d SPNT #Yd SPNT d SPNT d SPNT "#4\d SPNT #d SPNT #$d SPNT "?d SPNT #2d SPNT d SPNT dSPNT &Vnd SPNT (W t = 0.00 s UUUU".WdSPNTDSET.H  |A</6* |DC C C"God SPNTdSPNT LH A UUUU"U"d SPNT LH"@d SPNT "Ud SPNT d SPNT d SPNT  "$d SPNT "Hd SPNT "ld SPNT "d SPNT "d SPNT "d SPNT "d SPNT " d SPNT "Dd SPNT "hd SPNT "d SPNT "d SPNT  d SPNT d SPNT dSPNT &nKsd SPNT , Geneva .AA+21 cm UUUU"Fd SPNT dSPNT &ld SPNT (0G2"DGd SPNT dSPNT &kd SPNT (/p3"Cpd SPNT dSPNT &kd SPNT ) 4"Cd SPNT dSPNT &ld SPNT +&5"Dd SPNT dSPNT &lHd SPNT )&6 cm"Dd SPNT d SPNT d SPNT ""d SPNT "9d SPNT #Gd SPNT #d SPNT #Yd SPNT d SPNT d SPNT ""$\d SPNT #d SPNT #$d SPNT ">d SPNT #2d SPNT d SPNT dSPNT &Vnd SPNT (W t = 0.05 s".WdSPNTDSET.H  |A/6* |DddC C C"God SPNTdSPNT LH A"U"d SPNT LH"@d SPNT "Ud SPNT d SPNT d SPNT "$d SPNT "Hd SPNT "ld SPNT "d SPNT "d SPNT "d SPNT "d SPNT " d SPNT "Dd SPNT "hd SPNT "d SPNT "d SPNT  d SPNT d SPNT dSPNT &nKsd SPNT , Geneva .AA+21 cm UUUU"Fd SPNT dSPNT &ld SPNT (0G2"DGd SPNT dSPNT &kd SPNT (/p3"Cpd SPNT dSPNT &kd SPNT ) 4"Cd SPNT dSPNT &ld SPNT +&5"Dd SPNT dSPNT &lHd SPNT )&6 cm"Dd SPNT d SPNT d SPNT ""d SPNT "9d SPNT #Gd SPNT #d SPNT #Yd SPNT d SPNT d SPNT ""$\d SPNT #d SPNT #$d SPNT ">d SPNT #2d SPNT d SPNT dSPNT &Vnd SPNT (W t = 0.05 s".Wd SPNT  " 8d SPNT "!9d SPNT #Gd SPNT #?d SPNT "?"d SPNT ">d SPNT #EdSPNTDSET.H F@ |?/6* |DA A A"God SPNTdSPNT MH ? UUUU"U"d SPNT MH">d SPNT "Ud SPNT d SPNT d SPNT  "$d SPNT "Hd SPNT "ld SPNT "d SPNT "d SPNT "d SPNT "d SPNT " d SPNT "Dd SPNT "hd SPNT "d SPNT "d SPNT  d SPNT d SPNT dSPNT &nKsd SPNT , Geneva .??+11 cm UUUU"Ed SPNT dSPNT &ld SPNT (/G2"CGd SPNT dSPNT &kd SPNT (.p3"Bpd SPNT dSPNT &kd SPNT ) 4"Bd SPNT dSPNT &ld SPNT +&5"Cd SPNT dSPNT &lHd SPNT )&6 cm"Cd SPNT d SPNT d SPNT "&"d SPNT "Hd SPNT #Gd SPNT #d SPNT #Yd SPNT d SPNT d SPNT " \d SPNT #d SPNT #$d SPNT "<d SPNT #2d SPNT d SPNT dSPNT &Vnd SPNT (W t = 0.10 s"-WdSPNTDSET.H  |?FD/6* |D>>A A A"God SPNTdSPNT MH ?"U"d SPNT MH">d SPNT "Ud SPNT d SPNT d SPNT "$d SPNT "Hd SPNT "ld SPNT "d SPNT "d SPNT "d SPNT "d SPNT " d SPNT "Dd SPNT "hd SPNT "d SPNT "d SPNT  d SPNT d SPNT dSPNT &nKsd SPNT , Geneva .??+11 cm UUUU"Ed SPNT dSPNT &ld SPNT (/G2"CGd SPNT dSPNT &kd SPNT (.p3"Bpd SPNT dSPNT &kd SPNT ) 4"Bd SPNT dSPNT &ld SPNT +&5"Cd SPNT dSPNT &lHd SPNT )&6 cm"Cd SPNT d SPNT d SPNT "&"d SPNT "Hd SPNT #Gd SPNT #d SPNT #Yd SPNT d SPNT d SPNT " \d SPNT #d SPNT #$d SPNT "<d SPNT #2d SPNT d SPNT dSPNT &Vnd SPNT (W t = 0.10 s"-Wd SPNT  " =d SPNT " Hd SPNT "G&d SPNT "md SPNT !$dSPNTDSET.H  |=/6* |D? ? ?"God SPNTdSPNT ME = UUUU"X"d SPNT ME"<d SPNT "Xd SPNT d SPNT d SPNT  "'d SPNT "Kd SPNT "od SPNT "d SPNT "d SPNT "d SPNT "d SPNT "#d SPNT "Gd SPNT "kd SPNT "d SPNT "d SPNT  d SPNT d SPNT dSPNT &nKsd SPNT , Geneva .==+ 11 cm UUUU"E d SPNT dSPNT &ld SPNT (/J2"CJd SPNT dSPNT &kd SPNT (.s3"Bsd SPNT dSPNT &kd SPNT ) 4"Bd SPNT dSPNT &ld SPNT +&5"Cd SPNT dSPNT &lHd SPNT )&6 cm"Cd SPNT d SPNT d SPNT ":"d SPNT "\d SPNT #Gd SPNT #d SPNT #Yd SPNT d SPNT d SPNT "\d SPNT #d SPNT #$d SPNT ":d SPNT #2d SPNT d SPNT dSPNT &Vnd SPNT (Z t = 0.15 s"-ZdSPNTDSET.HFH |=Fd/6* |D88? ? ?"God SPNTdSPNT ME ="X"d SPNT ME"<d SPNT "Xd SPNT d SPNT d SPNT "'d SPNT "Kd SPNT "od SPNT "d SPNT "d SPNT "d SPNT "d SPNT "#d SPNT "Gd SPNT "kd SPNT "d SPNT "d SPNT  d SPNT d SPNT dSPNT &nKsd SPNT , Geneva .==+ 11 cm UUUU"E d SPNT dSPNT &ld SPNT (/J2"CJd SPNT dSPNT &kd SPNT (.s3"Bsd SPNT dSPNT &kd SPNT ) 4"Bd SPNT dSPNT &ld SPNT +&5"Cd SPNT dSPNT &lHd SPNT )&6 cm"Cd SPNT d SPNT d SPNT ":"d SPNT "\d SPNT #Gd SPNT #d SPNT #Yd SPNT d SPNT d SPNT "\d SPNT #d SPNT #$d SPNT ":d SPNT #2d SPNT d SPNT dSPNT &Vnd SPNT (Z t = 0.15 s"-Zd SPNT  " sd SPNT " d SPNT "#d SPNT #d SPNT #ydSPNTDSET.H |B</6* |DD D D"God SPNTdSPNT L4 B UUUU"i"d SPNT L4"Ad SPNT "id SPNT d SPNT d SPNT  "8d SPNT "\d SPNT "d SPNT "d SPNT "d SPNT "d SPNT "d SPNT "4d SPNT "Xd SPNT "|d SPNT "d SPNT "d SPNT   d SPNT d SPNT dSPNT &nKsd SPNT , Geneva .BB+21 cm UUUU"Fd SPNT dSPNT &ld SPNT (0[2"D[d SPNT dSPNT &kd SPNT (/3"Cd SPNT dSPNT &kd SPNT ) 4"Cd SPNT dSPNT &ld SPNT +&5"Dd SPNT dSPNT &lHd SPNT )&6 cm"Dd SPNT d SPNT d SPNT "_"d SPNT "d SPNT #Gd SPNT #d SPNT #Yd SPNT d SPNT d SPNT "#\d SPNT #d SPNT #$d SPNT "?d SPNT #2d SPNT d SPNT dSPNT &Vnd SPNT (k t = 0.20 s".kdSPNTDSET.H$ |E/6* |DppG G G"God SPNTdSPNT K4 E"i"d SPNT K4"Dd SPNT "id SPNT d SPNT d SPNT "8d SPNT "\d SPNT "d SPNT "d SPNT "d SPNT "d SPNT "d SPNT "4d SPNT "Xd SPNT "|d SPNT "d SPNT "d SPNT  !!d SPNT d SPNT dSPNT &nKsd SPNT , Geneva .EE+31 cm UUUU"Gd SPNT dSPNT &ld SPNT (1[2"E[d SPNT dSPNT &kd SPNT (03"Dd SPNT dSPNT &kd SPNT ) 4"Dd SPNT dSPNT &ld SPNT +&5"Ed SPNT dSPNT &lHd SPNT )&6 cm"Ed SPNT d SPNT d SPNT "_"d SPNT "d SPNT #Gd SPNT #d SPNT #Yd SPNT d SPNT d SPNT "$\d SPNT #d SPNT #$d SPNT "@d SPNT #2d SPNT d SPNT dSPNT &Vnd SPNT (k t = 0.20 s"/kd SPNT  "@d SPNT " ["d SPNT "B^"d SPNT "Cd SPNT "Fd SPNT "d SPNT "ldSPNTDSET.HFL |B/6* |DD D D"God SPNTdSPNT L" B"{"d SPNT L""Ad SPNT "{d SPNT d SPNT d SPNT "Jd SPNT "nd SPNT "d SPNT "d SPNT "d SPNT "d SPNT ""d SPNT "Fd SPNT "jd SPNT "d SPNT "d SPNT "d SPNT  & d SPNT d SPNT dSPNT &nKsd SPNT , Geneva .BB+.21 cm UUUU"F.d SPNT dSPNT &ld SPNT (0m2"Dmd SPNT dSPNT &kd SPNT (/3"Cd SPNT dSPNT &kd SPNT ) 4"Cd SPNT dSPNT &ld SPNT +&5"Dd SPNT dSPNT &lHd SPNT )&6 cm"Dd SPNT d SPNT d SPNT ""d SPNT "d SPNT #Gd SPNT #d SPNT #Yd SPNT d SPNT d SPNT "#\d SPNT #d SPNT #$d SPNT "?d SPNT #2d SPNT d SPNT dSPNT &Vnd SPNT (} t = 0.25 s".}d SPNT  ",dSPNTDSET.H |CFP/6* |DE E E"God SPNTdSPNT K" C"{"d SPNT K""Bd SPNT "{d SPNT d SPNT d SPNT "Jd SPNT "nd SPNT "d SPNT "d SPNT "d SPNT "d SPNT ""d SPNT "Fd SPNT "jd SPNT "d SPNT "d SPNT "d SPNT  !&!d SPNT d SPNT dSPNT &nKsd SPNT , Geneva .CC+.31 cm UUUU"G.d SPNT dSPNT &ld SPNT (1m2"Emd SPNT dSPNT &kd SPNT (03"Dd SPNT dSPNT &kd SPNT ) 4"Dd SPNT dSPNT &ld SPNT +&5"Ed SPNT dSPNT &lHd SPNT )&6 cm"Ed SPNT d SPNT d SPNT ""d SPNT "d SPNT #Gd SPNT #d SPNT #Yd SPNT d SPNT d SPNT "$\d SPNT #d SPNT #$d SPNT "@d SPNT #2d SPNT d SPNT dSPNT &Vnd SPNT (} t = 0.25 s"/}d SPNT  " ,d SPNT #.d SPNT ""[d SPNT "@\%d SPNT #d SPNT " "d SPNT #d SPNT "Fd SPNT # d SPNT " udSPNTDSET.H< |R/6* |DT T T"God SPNTdSPNT 4H R"U"d SPNT 4H"Qd SPNT "Ud SPNT d SPNT d SPNT "3$d SPNT "3Hd SPNT "3ld SPNT "3d SPNT "4d SPNT "4d SPNT "4d SPNT "4 d SPNT "3Dd SPNT "3hd SPNT "3d SPNT "3d SPNT  88d SPNT d SPNT dSPNT &nKsd SPNT , Geneva .RR+J1 cm UUUU"^d SPNT dSPNT &ld SPNT (HG2"\Gd SPNT dSPNT &kd SPNT (Gp3"[pd SPNT dSPNT &kd SPNT ) 4"[d SPNT dSPNT &ld SPNT +&5"\d SPNT dSPNT &lHd SPNT )&6 cm"\d SPNT d SPNT d SPNT  "6"d SPNT "7%d SPNT #Gd SPNT #d SPNT #Yd SPNT d SPNT d SPNT "75\d SPNT #d SPNT "$d SPNT #7d SPNT #2d SPNT d SPNT dSPNT &Vnd SPNT (2W t = 0.00 s UUUU"FWd SPNT  "7dSPNTDSET.H< |R/6* |DT T T"God SPNTdSPNT 4H R"U"d SPNT 4H"Qd SPNT "Ud SPNT d SPNT d SPNT "3$d SPNT "3Hd SPNT "3ld SPNT "3d SPNT "4d SPNT "4d SPNT "4d SPNT "4 d SPNT "3Dd SPNT "3hd SPNT "3d SPNT "3d SPNT  88d SPNT d SPNT dSPNT &nKsd SPNT , Geneva .RR+J1 cm UUUU"^d SPNT dSPNT &ld SPNT (HG2"\Gd SPNT dSPNT &kd SPNT (Gp3"[pd SPNT dSPNT &kd SPNT ) 4"[d SPNT dSPNT &ld SPNT +&5"\d SPNT dSPNT &lHd SPNT )&6 cm"\d SPNT d SPNT d SPNT "7"d SPNT "87d SPNT #Gd SPNT #d SPNT #Yd SPNT d SPNT d SPNT "7#\d SPNT #d SPNT "$d SPNT #7d SPNT #2d SPNT d SPNT dSPNT &Vnd SPNT (2W t = 0.05 s"FWd SPNT  "7d SPNT "7.d SPNT "88d SPNT "7Gd SPNT #d SPNT "}%d SPNT "5d SPNT "6DdSPNTDSET.H |lFT/6* |Dn n n"God SPNTdSPNT H l"U"d SPNT H"kd SPNT "Ud SPNT d SPNT d SPNT "M$d SPNT "MHd SPNT "Mld SPNT "Md SPNT "Nd SPNT "Nd SPNT "Nd SPNT "N d SPNT "MDd SPNT "Mhd SPNT "Md SPNT "Md SPNT  RRd SPNT d SPNT dSPNT &nKsd SPNT , Geneva .ll+d1 cm UUUU"xd SPNT dSPNT &ld SPNT (bG2"vGd SPNT dSPNT &kd SPNT (ap3"upd SPNT dSPNT &kd SPNT ) 4"ud SPNT dSPNT &ld SPNT +&5"vd SPNT dSPNT &lHd SPNT )&6 cm"vd SPNT d SPNT d SPNT "Q&"d SPNT "RHd SPNT #Gd SPNT #d SPNT #Yd SPNT d SPNT d SPNT "Q\d SPNT #d SPNT "l$d SPNT #7d SPNT #2d SPNT d SPNT dSPNT &Vnd SPNT (LW t = 0.10 s"`Wd SPNT  "Qd SPNT "Q<d SPNT "RGd SPNT "4kd SPNT "m%d SPNT "Od SPNT "PXd SPNT "4H!dSPNTDSET.H |l/6* |Dn n n"God SPNTdSPNT D l"Y"d SPNT D"kd SPNT "Yd SPNT d SPNT d SPNT "M(d SPNT "MLd SPNT "Mpd SPNT "Md SPNT "Nd SPNT "Nd SPNT "Nd SPNT "N$d SPNT "MHd SPNT "Mld SPNT "Md SPNT "Md SPNT  RRd SPNT d SPNT dSPNT &nKsd SPNT , Geneva .ll+ d1 cm UUUU"x d SPNT dSPNT &ld SPNT (bK2"vKd SPNT dSPNT &kd SPNT (at3"utd SPNT dSPNT &kd SPNT ) 4"ud SPNT dSPNT &ld SPNT +&5"vd SPNT dSPNT &lHd SPNT )&6 cm"vd SPNT d SPNT d SPNT "R:"d SPNT "S\d SPNT #Gd SPNT #d SPNT #Yd SPNT d SPNT d SPNT "P\d SPNT #d SPNT "\$d SPNT #7d SPNT #2d SPNT d SPNT dSPNT &Vnd SPNT (L[ t = 0.15 s"`[d SPNT  "Q d SPNT "Q<d SPNT "R[d SPNT "Od SPNT "\%d SPNT #6d SPNT "QXd SPNT "4!dSPNTDSET.H< |T</6* |DV V V"God SPNTdSPNT 24 T"i"d SPNT 24"Sd SPNT "id SPNT d SPNT d SPNT "58d SPNT "5\d SPNT "5d SPNT "5d SPNT "6d SPNT "6d SPNT "6d SPNT "64d SPNT "5Xd SPNT "5|d SPNT "5d SPNT "5d SPNT  ::d SPNT d SPNT dSPNT &nKsd SPNT , Geneva .TT+L1 cm UUUU"`d SPNT dSPNT &ld SPNT (J[2"^[d SPNT dSPNT &kd SPNT (I3"]d SPNT dSPNT &kd SPNT ) 4"]d SPNT dSPNT &ld SPNT +&5"^d SPNT dSPNT &lHd SPNT )&6 cm"^d SPNT d SPNT d SPNT "9^"d SPNT ":d SPNT #Gd SPNT #d SPNT #Yd SPNT d SPNT d SPNT "9\d SPNT #d SPNT "\$d SPNT #7d SPNT #2d SPNT d SPNT dSPNT &Vnd SPNT (4k t = 0.20 s"Hkd SPNT  "9d SPNT "9 <d SPNT ":\d SPNT "7d SPNT "[%d SPNT #d SPNT "9Xd SPNT "CdSPNTDSET.H |TFX/6* |DV V V"God SPNTdSPNT 2" T"{"d SPNT 2""Sd SPNT "{d SPNT d SPNT d SPNT "5Jd SPNT "5nd SPNT "5d SPNT "5d SPNT "6d SPNT "6d SPNT "6"d SPNT "6Fd SPNT "5jd SPNT "5d SPNT "5d SPNT "5d SPNT  :&:d SPNT d SPNT dSPNT &nKsd SPNT , Geneva .TT+.L1 cm UUUU"`.d SPNT dSPNT &ld SPNT (Jm2"^md SPNT dSPNT &kd SPNT (I3"]d SPNT dSPNT &kd SPNT ) 4"]d SPNT dSPNT &ld SPNT +&5"^d SPNT dSPNT &lHd SPNT )&6 cm"^d SPNT d SPNT d SPNT "9"d SPNT ":d SPNT #Gd SPNT #d SPNT #Yd SPNT d SPNT d SPNT "9\d SPNT #d SPNT "\$d SPNT #7d SPNT #2d SPNT d SPNT dSPNT &Vnd SPNT (4} t = 0.25 s"H}d SPNT  "9,d SPNT "9 <d SPNT ":\d SPNT "7d SPNT "[%d SPNT #7d SPNT "8Xd SPNT "Cd SPNT "d SPNT "9dSPNTDSET.H | /6* |Dzz   "Go "xprWEwdxprWEWE pSymbolWE qlWEp"New Century SchlbkWE q" , Symbol .*lWE q"=WE q" WE"  WE,"New Century Schlbk") = WE q"v( vWEWE q"f+fWE q" WE q"=WE q" WE" 2:WE(" = WE q"6WE q"1WE q"6WE q" WE q"mWE q"/WE q"s( 4616 m/sWE WE q"5WE q"2WE q"4WE q" WE q"(WE q"1WE q"/WE q"sWE q")(2 524 (1/s)WE q" WE q"=WE q" WE q" WE q"1WE q".WE q"1WE q"7WE q"6WE q" WE q"m(l = 1.176 mDSET.H< |K/6* |DK K K"Go I"xprWEwdxpr "WEWEp"New Century SchlbkWE q"vWE q" WE q"=WE q" WE2"I###WE,"New Century Schlbk" .II*v = WE")WEWE q"T( 3TWEWE q"mWE q"/WE q"L()m/LWEDSET.H |?F\/6* |D? ? ?"Go ="xprWEwdxpr "WEWEPWEWEp"New Century SchlbkWE q"v,"New Century Schlbk" .==*vWEWEWE q"2 ( 2WE q" WE q"=WE q" WE" WE + = WE q"T( )TWEWE q"mWE q"/WE q"L(m/LDSET.H< | /6* |DFF   "Go "xprWEwdxpr "WEWE"WEWEp"New Century SchlbkWE q"m,"New Century Schlbk" .*mWEWE q"L+LWE q" WE q"=WE q" WE" ;WE( = WE q"0WE q".WE q"0WE q"4WE q"5WE q" WE q"kWE q"g( 0.045 kgWEWE q"2WE q".WE q"4WE q" WE q"m+ 2.4 mWE q" WE q"=WE q" WE q"0WE q".WE q"1WE q"8WE q"7WE q"5WE q" WE"WE([ = 0.1875 WE q"kWE q"g( kgWEWE q"m+mDSET.H) |u/6* |Du u u"Go s"xprWEwdxpr "WE WEp"New Century SchlbkWE q"mWE q" WE q"=WE q" WE"  WE,"New Century Schlbk" .ss*m = WE q"T( TWEWE q"g+ gWE q" WE q"=WE q" WE" :9WE(* = WE q"8WE q"4WE q".WE q"6WE q"7WE q" WE q"N( <84.67 NWEWE q"9WE q".WE q"8WE q" WE q"mWE q"/WEPWE(:9.8 m/WE q"s)+sWEWEWE q"2 (l2DSET.H |TF`/6* |DT T T"Go R"xprWEwdxpr WE WE"WEWEPWEWE pSymbolWE ql, Symbol .RR* lWEWEp"New Century SchlbkWE q"1,"New Century Schlbk" +1WEWEWE q"4 (4WE pTimesWE q WE q WE q=WE q WE q WE q1WE q.WE q0WE q WE qm,Times( = 1.0 mDSET.H |//6* |DXX/ / /"Go -"xprWEwdxpr WEWE pTimesWE qfWE q WE q WE q=WE q WE q WE" # WE,Times .--* f = WEp"New Century SchlbkWE q"v,"New Century Schlbk"( #vWEWE pSymbolWE ql, Symbol+lDSET.H < |</6* |Dpp  "Go "xprWEwdxpr WEWEPWEWE pTimesWE qf,Times .*fWEWE q1 +1WEWE q WE q WE q=WE q WE q WE" )WE (  = WEp"New Century SchlbkWE q"v,"New Century Schlbk"( ,vWEWEPWEWE pSymbolWE ql, Symbol()lWEWE q1 +1WEWE q" WE q" WE q"=WE q" WE q" WE" P7WE" (8 = WE q"3WE q"4WE q"0WE q" WE q"mWE q"/WE q"s( P340 m/sWEWE q"4WE q".WE q"0WE q" WE q"m+4.0 mWE q" WE q" WE q"=WE q" WE q" WE q"8WE q"5WE q" WE q"HWE q"z( = 85 HzDSET.H! |/6* |D  "Go "xprWEwdxpr WEWEPWEWE pTimesWE qf,Times .*fWEWE q2 +2WEWE q WE q WE q=WE q WE q WE" )WE (  = WEp"New Century SchlbkWE q"v,"New Century Schlbk"( ,vWEWEPWEWE pSymbolWE ql, Symbol()lWEWE q2 +2WEWE q" WE q" WE q"=WE q" WE q" WE" P7WE" (8 = WE q"3WE q"4WE q"0WE q" WE q"mWE q"/WE q"s( P340 m/sWEWE q"1WE q".WE q"3WE q"3WE q" WE q"m+1.33 mWE q" WE q" WE q"=WE q" WE q" WE q"2WE q"5WE q"6WE q" WE q"HWE q"z( = 256 HzDSET.H" |/6* |D``  "Go "xprWEwdxpr WEWEPWEWE pTimesWE qf,Times .*fWEWEWE q WE q WE q=WE q WE q WE" # WE) = WEp"New Century SchlbkWE q"v,"New Century Schlbk"( #vWEWEPWEWE pSymbolWE ql, Symbol+lWEWEWE q" WE q" WE q"=WE q" WE q" WE" E8WE"(- = WE q"3WE q"4WE q"5WE q" WE q"mWE q"/WE q"s( F345 m/sWEWE q"0WE q".WE q"4WE q"8WE q"0WE q" WE q"m(E0.480 mWE q" WE q" WE q"=WE q" WE q" WE q"7WE q"1WE q"9WE q" WE q"HWE q"z(} = 719 HzDSET.H# |s/6* |Ds s s"Go q"xprWEwdxpr WE WEPWEWE pTimesWE qfWE q WE q',Times .qq*f 'WEWEWE q WE q WE q=WE q WE q WEp"New Century SchlbkWE q"f) = WE q" WEa6<Rb7;Za6<Rb7;ZakqRblpZakqZRblpZZWE,"New Century Schlbk")f WE" 95WEWE q"vWE q" WE q"+WE q" WEPWE( 9v + WE q"v)vWEWE q"oWE q"bWE q"s + obsWEWEWE q"vWE q" WE q"+WE q" WEPWE (@v + WE q"v)vWEWE q"s + sWEDSET.H$ | ,/6* |D , ,  ,"Go *"xprWEwdxprWEWEPWEWE pTimesWE qfWE q WE q',Times .***f 'WEWEWE q WE q WE q=WE q WE q WEp"New Century SchlbkWE q"5) = WE q"0WE q"0WE q" WE q"HWE q"zWE q" WEaagRbbfZaagRbbfZaRbZaZRbZZWE,"New Century Schlbk")500 Hz WE" d`WEWE q"3WE q"4WE q"0WE q" WE q"mWE q"/WE q"s( y340 m/sWEWE q"(WE q"3WE q"4WE q"0WE q" WE q"WE q" WE q"2WE q"5WE q")WE q" WE q"mWE q"/WE q"s(d(340 25) m/sWE q" WE q"=WE q" WE q"5WE q"0WE q"0WE q" WE q"HWE q"zWE q" WEa Rb Za Rb Za$*Rb%)Za$*ZRb%)ZZWE( = 500 Hz WE" WEWE q"3WE q"4WE q"0( 340WEWE q"3WE q"1WE q"5*315DSET.H% |/6* |D\\  "Go "xprWEwdxpr WEWEPWEWE pTimesWE qfWE q WE q',Times .*f 'WEWEWE q WE q WE q=WE q WE q WEp"New Century SchlbkWE q"5) = WE q"0WE q"0WE q" WE q"HWE q"zWE q" WEaagRbbfZaagRbbfZaRbZaZRbZZWE,"New Century Schlbk")500 Hz WE" d9WEWE q"3WE q"4WE q"0( t340WEWE q"3WE q"4WE q"0WE q" WE q"+WE q" WE q"2WE q"5(d340 + 25WE q" WE q"=WE q" WE q"5WE q"0WE q"0WE q" WE q"HWE q"zWE q" WEaRbZaRbZaRbZaZRbZZWE( = 500 Hz WE" WEWE q"3WE q"4WE q"0( 340WEWE q"3WE q"6WE q"5*365DSET.H&Ӽ |/6* |DZZ  "Go "xprWEwdxpr WEWEPWEWE pTimesWE qfWE q WE q',Times .*f 'WEWEWE q WE q WE q=WE q WE q WEp"New Century SchlbkWE q"5) = WE q"0WE q"0WE q" WE q"HWE q"zWE q" WEaagRbbfZaagRbbfZaRbZaZRbZZWE,"New Century Schlbk")500 Hz WE" d9WEWE q"3WE q"4WE q"0WE q" WE q"+WE q" WE q"2WE q"5( d340 + 25WEWE q"3WE q"4WE q"0+340WE q" WE q"=WE q" WE q"5WE q"0WE q"0WE q" WE q"HWE q"zWE q" WEaRbZaRbZaRbZaZRbZZWE( = 500 Hz WE" WEWE q"3WE q"6WE q"5( 365WEWE q"3WE q"4WE q"0*340DSET.H'E | E/6* |DZZ    "Go "xprWEwdxpr WEWEPWEWE pTimesWE qfWE q WE q',Times .*f 'WEWEWE q WE q WE q=WE q WE q WEp"New Century SchlbkWE q"5) = WE q"0WE q"0WE q" WE q"HWE q"zWE q" WEaagRbbfZaagRbbfZaRbZaZRbZZWE,"New Century Schlbk")500 Hz WE"d8WEWE q"3WE q"4WE q"0WE q" WE q"WE q" WE q"2WE q"5( d340 25WEWE q"3WE q"4WE q"0+340WE q" WE q"=WE q" WE q"5WE q"0WE q"0WE q" WE q"HWE q"zWE q" WEaRbZaRbZaRbZaZRbZZWE( = 500 Hz WE"WEWE q"3WE q"1WE q"5(315WEWE q"3WE q"4WE q"0*340DSET.H(< |sE/6* |Ds s s"Go q"xprWEwdxpr WE WEPWEWE pTimesWE qfWE q WE q',Times .qq*f 'WEWEWE q WE q WE q=WE q WE q WEp"New Century SchlbkWE q"f) = WE q" WEa6<Rb7;Za6<Rb7;ZakqRblpZakqZRblpZZWE,"New Century Schlbk")f WE" 95WEWE q"vWE q" WE q"+WE q" WEPWE( 9v + WE q"v)vWEWE q"oWE q"bWE q"s + obsWEWEWE q"vWE q" WE q"+WE q" WEPWE (@v + WE q"v)vWEWE q"s + sWEDSET.H)  | E/6* |D   "Go "xprWEwdxprWEWEPWEWE pTimesWE qfWE q WE q',Times .*f 'WEWEWE q WE q WE q=WE q WE q5WE q5WE q2WE q WE qHWE qzWE q WE q WE q=WE q WE q WEp"New Century SchlbkWE q"5) = 552 Hz = WE q"5WE q"0WE q" WE q"HWE q"zWE q" WEaRbZaRbZaRbZaZRbZZWE,"New Century Schlbk")c550 Hz WE" 6WEWE q"3WE q"4WE q"0( 340WEWE q"3WE q"4WE q"0WE q" WE q"WE q" WEPWE(340 WE q"v)'vWEWE q"s + sWEWE q" ( DSET.H*E | E/6* |D   "Go "xprWEwdxpr"WEWEaRbZaRbZa6<Rb7;Za6<ZRb7;ZZWEWE" 6WEWEp"New Century SchlbkWE q"3WE q"4WE q"0,"New Century Schlbk" .+ 340WEWE q"3WE q"4WE q"0WE q" WE q"WE q" WEPWE(340 WE q"v)'vWEWE q"s + sWEWE q" WE q"=WE q" WE" LWE (< = WE q"5WE q"5WE q"2( L552WEWE q"5WE q"5WE q"0*550WE q" WE q"=WE q" WE q"1WE q".WE q"0WE q"0WE q"3WE q"6(e = 1.0036DSET.H+< |/6* |D  "Go "xprWEwdxpr "WEWEPWEWEp"New Century SchlbkWE q"v,"New Century Schlbk" .*vWEWE q"s + sWEWE q" WE q"=WE q" WE" -WE ( = WE q"1WE q".WE q"2WE q"3WE q"6( "1.236WEWE q"1WE q".WE q"0WE q"0WE q"3WE q"6(1.0036WE q" WE q"=WE q" WE q"1WE q".WE q"2WE q"3WE q" WE q"mWE q"/WE q"s(K = 1.23 m/sDSET.H, |/6* |D  "Go "xprWEwdxpr "WEWEp"New Century SchlbkWE q"fWE q" WE q"'WE q" WE q" WE q"=WE q" WE q" WE q"5WE q"4WE q"8WE q" WE q"HWE q"zWE q" WE q"=WE q" WE q" WE q"5WE q"5WE q"0WE q" WE q"HWE q"zWE q" WEaRbZaRbZaRbZaZRbZZWE,"New Century Schlbk" .*f ' = 548 Hz = 550 Hz WE" 7WEWE q"3WE q"4WE q"0( 340WEWE q"3WE q"4WE q"0WE q" WE q"+WE q" WEPWE(340 + WE q"v)(vWEWE q"s + sWEDSET.H- |/6* |D  "Go "xprWEwdxpr "WEWEaRbZaRbZa7=Rb8<Za7=ZRb8<ZZWEWE" 7WEWEp"New Century SchlbkWE q"3WE q"4WE q"0,"New Century Schlbk" .+ 340WEWE q"3WE q"4WE q"0WE q" WE q"+WE q" WEPWE(340 + WE q"v)(vWEWE q"s + sWEWE q" WE q"=WE q" WE" MWE (= = WE q" WE q"5WE q"4WE q"8( M 548WEWE q"5WE q"5WE q"0+550WE q" WE q"=WE q" WE q"0WE q".WE q"9WE q"9WE q"6WE q"4(j = 0.9964DSET.H.Ө |Ӡ/6* |D    "Go "xprWEwdxpr "WEWEPWEWEp"New Century SchlbkWE q"v,"New Century Schlbk" .*vWEWE q"s + sWEWE q" WE q" WE q"=WE q" WE q" WE" &-WE ( = WE q"1WE q".WE q"2WE q"3WE q"6( *1.236WEWE q"0WE q".WE q"9WE q"9WE q"6WE q"4(&0.9964WE q" WE q" WE q"=WE q" WE q" WE q"1WE q".WE q"2WE q"4WE q" WE q"mWE q"/WE q"s(S = 1.24 m/sDSET.H/]l06*]lDSET4.H0/SSUSp %S @ SSSeS11Vp1 & @1 111f16*]lDSET.H10e@`02 *`000000000DSETT 21)F,<+)+ .) . ' *(*PHY 1150, Homework, Chapter 16, page  ZNFNTMCUTSDSUM/Charles E. Miller, Jr.HDNISTYL"@STYLhEҌ҄E|tpT                  D        ! " # $  %  ' ) * +  .+ -!/ "HASHd* d* d*d* d( $d*d*d*d*d*d+d,d,d,e*f*f*f*f*f*f+d( %x!%p& Af* C(L:Qhjazo}Bod! CHAR   "      S W        UXi{Y@ @Ws w@ HASH        TWXhzR CELLҀ "HASH  GRPHxfn.HASHogN l RULR<@........}@..@..L HASH\^\^@@^ Bp0 LKUP   &(,- ! $NAMEDefault Default SSHeaderBodyFooterFootnoteFootnote IndexdDFNTM HelveticaGeneva"New Century SchlbkSymbolNew YorkETBL@FNTMFLCUTSFTDSUMF\HDNIFSTYLFETBLW