UNIVERSITI KEBANGSAAN MALAYSIA PEPERIKSAAN AKHIR SEMESTER I SESI AKADEMIK 7/8 IJAZAH SARJANAMUDA DENGAN KEPUJIAN NOVEMBER 7 MASA : 3 JAM KOD KURSUS : KKKQ33/KKKF33 TAJUK : PENGIRAAN BERANGKA ARAHAN :. Kerts mempu empt 4 sol dlm Bg A Secto A d empt 4 sol dlm Bg B Secto B.. Clo deed mew SEMUA sol dlm Bg A d m-m stu sol dlm Bg B. 3. Jw SEMUA sol dlm uu wp g dedr. 4. Clo deed mew eseluru dlm Bs Iggers s. 5. Juml mr eseluru erts mr. 6. Kerts sol td der dw elur drpd Dew Pepers. No. Pedtr : deg pert Kerts sol megdug 6 mu surt ercet td termsu mu surt. MS ISO 9 REG. NO. AR 845
KKKQ33/KKKF33 PART A Aswer ALL questos.. Te ucto = s occurs te stud o udmped orced osclltos. B usg te secto metod d te vlue o tt les te tervl were te ucto tes o te vlue = te ucto s s evluted rds. Iterte utl.%. 6 mrs Solve te prolem ove usg te Newto-Rpso metod wt tl guess o =. Iterte utl.%. 6 mrs c I our opo we dg roots o equto c ot metods.e. secto d Newto Rpso gurtee covergece t ll tmes? Gve 3 resos to ust our swer. 3 mrs. Krco s voltge lw ss tt te sum o te voltge drops roud closed pt te etwor gve drecto s zero. We ts prcple s ppled to crcut te ollowg ler sstem o equtos s oted: R + R 3 + R 4 I + R 3 I + R 4 I 3 = E R 3 I + R + R 3 + R 5 I - R 5 I 3 = E R 4 I - R 5 I + R 4 +R 5 +R 6 I 3 = Use Guss-Sedel metod up to 3 tertos to solve or curret I I d I 3 R = R = R 3 = 4 R 4 = 3 R 5 = R 6 = 5 d E = 4 E = 38. 5 mrs
KKKQ33/KKKF33 3. Estmte te commo log usg rst order Lgrge Iterpolto. Iterpolte etwee log 8 =.939 d log =.798 3 mrs Iterpolte etwee log 9 =.95445 d log =.4397. For ec o te terpoltos compute te percetge reltve error sed o te true vlue. 3 mrs Use poloml regresso to t qudrtc to dt 3 4 5 6 7 8 9.5 3 4 5 8 3 Compute te stdrd error o te estmte d te correlto coecet. Plot te dt. 5 mrs Use te porto o te gve stem dt or supereted H O t MP to v m 3 /g.377.44.54 s J/g.K 6.447 6.5453 6.7664 Fd te correspodg etrop s or specc volume v o.8 m 3 /g wt ler terpolto. mrs Fd te sme correspodg etrop usg qudrtc terpolto. mrs
KKKQ33/KKKF33 4. Solve te ollowg tl-vlue prolem over te tervl rom = to = 4 wt step sze o. usg Hue Metod wt sgle corrector. I te ltc soluto or 3. = 33.67778 compute te true percet reltve error or our result. d d 4e. 8.5 5 Mrs 3
KKKQ33/KKKF33 PART B Aswer ONLY oe questo.. Cross secto o ll d er tuel s sow Fgure. Ec dotted le represets tervl o m. Determe te coordtes o te glgted pots. 5 mrs c Appl comto o Trpezodl /3 Smpso s d 3/8 Smpso s Metods to clculte te wole cross secto re o te ll. 5 mrs Clculte te volume o te ll sol mterl te legt o te tuel s m. mrs tuel Fgure 4
KKKQ33/KKKF 33. A cvl egeer volved costructo requres 48 58 d 57 m 3 o sd e grvel d corse grvel respectvel or uldg proect. Tere re tree pts rom wc tese mterls c e oted. Te composto o tese pts s s ollows : Sd % Fe Grvel % Corse Grvel % Pt 55 3 5 Pt 5 45 3 Pt 3 5 55 Wrte te smulteous ler equto or te ove prolem d determe ow m cuc meters must e uled rom ec pt order to meet te egeer s eeds. 4 mrs 3. Gve te dt o te ppled potetl V d curret I low -sde o tpcl slco p- ucto. V V 3 5 7 8 I ma 3 6 9 99 9 444 Clculte curret low t -sde semcoductor we te potetl o 4V s ppled. Plot te grp o curret I versus potetl V d estmte te curret low we 4V s ppled Clculte te rst order Newto s terpolto polomls. c Clculte secod order o Newto s terpolto polomls. Coose our se pots to tt ccurc. d Clculte rst d secod order Lgrge poloml e Gve te opo regrdg te results oted. 4 mrs 5
KKKQ33/KKKF 33 4. A mss lce or cemcl lqud A completel med mcro-rector c e wrtte s; V dc dt F Qc Vc were V = volume 5 m 3 c = cocetrto g/ m 3 F = eed rte g/m Q = low rte m 3 g - m -. Te tl cocetrto o A s zero.e. c =. Use Euler Metod wt step sze o.45 m to predct sted stte cocetrto o A. Use ol 3 decml plces to determe sted stte s ee reced. mrs Use te dt geerted to drw te grp o cocetrto o c versus tme d determe rom te grp te ppromte tme to rec te sted stte codto. mrs c Wt would ou epect te tl cocetrto ws ger t te sted stte cocetrto predcted ove s g/m 3. Wll te grdet o te curve e postve or egtve d wt wll e te sted stte cocetrto mrs SELAMAT MAJU JAYA 6
KKKQ33/KKKF33 LIST OF FORMULAS ' ; L L 3 3 4 7
KKKQ33/KKKF33 I.9.9 8 I I 4 3 I 6 4 I 35 46 4 I 3 3 3 8 3 I 3