Question

Problem 1 (50): A 3100 b car has a 5-speed manual transmission with in = 3.22, 1,2 = 2.15, 1,4 = 1.05, 1,5 = 0.68. The final drive ratio 3.08. The ar drag coefficient is 0.29 and the front projected area is 22 square feet. The rolling resistance coefficient is 0.02 and the tire radius is 11 inches. The mass factor is 1.0. The drive train efficiency is 0.93. The engine wide-open-throttle output is shown in the figure. a) Determine the engine output power in horse power when the vehicle is cruising at a constant speed of 65mph on a 2% slope in the 5th gear. (Note: One Horse Power=550 ft.ibs/s) b) When the vehicle speed is 40 mph, the driver makes a 3-4 upshift and the engine speed drops 695 RPM right after the shift. Determine the third gear ratio. c) Determine the steepest slope in percentage on which the vehicle can be driven at a constant speed of 65 mph in the 5th gear? d) The driver makes a 5-4 downshift when the vehicle is driven on a 2% slope at a speed of 65 mph, determine the maximum acceleration the vehicle can achieve right after the shift.

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Answer 1

of solution PAGE- with peleneters from the Consideling the conditions Wention, Here na 310016 n=0.83 1x, = 3.22 ir,=2015 ir=205 me=1 Reli" Cq = 0.02 Af=22442 irs =0.68 if - 3.08 a=0.29 *© Coalicilating the output powel in Thus Vuck = 6suph G27. fifth geal Engine speed walios & iP) & uren R 65 x 63.360 W= (0.68 x 308 ) 3600 Cimile = 63360 inches W=227.8126 zodle IN 60 27 wa 212 .8196 60 RPM (01) ) PT crw=20800pm Now on welche force Fier Foedot Froll + Egoed French PAN? + C mgodt ing sina. Assumption density of Air, P=0.075 16/93.

Powel 100% throtle lies a 4 HO PAGES from gira greph et Here tand=G=0.02 L= 0.02 god Cosdal Siha = 0.02 from ead becomes Fren TE Fren= 6163.4 9 rifuehn 191:588.45 - Engine torget = Fren x2 Nxias xif 1914 588 0.93 x / 12² 068x3.08 T= 90.17ff as wespecer = 20803pm Toogue for 100% throttle Too = 11584 lb. es & Go 17 I hope roo Ils. 10o not Throttle upon rool p= 33. 284 p.

-1576-486 1882.368 ir3 = 695. PAGE 3 P=1960615 ft. Abs/s. (1142= ssoft.iftsis) * Ven= hoaph = 58.667 fot/sec iraxif for 300 ged on a 69 271 wide X R EL! 89€, 2881=Em for 4th ged WA is green by engine speed Cu = Ken ire xif 60 wede zi R 58.66 x 105 x 3.08 bo 60 2T (1/2) 3. Wy=1976.486 rpm Wz-l = 685 8pm Suiss 2,3,4, irz=142 tº v=8suph = 95. 333 ft/s2 staged Vuent isstip fo X 21 cole Engino speed wa P 95:33 x0.68 x 3.08 (12) 27

PAGES Tw=2080 rpm From graph maximum engine torge pool throttle open reede ofc7 =nto T= lsh lb TXnxis xH not R Fren= 15 80 1430068X3.08 ("/12) 241.3605 Fren from Also Event CA Par? &C, ang cost tog sine ho 1,28 xo:22x185•33 394 + 0.02 * 3100 x32-19 246.36 x 32.14 9 +3100 x(G) 32:17. Here (coskolSineteda slopes) =) 7861.04 = 2194.35 +1994+99729 (5) G=0.037 ribe 37% G+ 2% urers Gsuph_95 .333 ft/s.

PAGES Gee is shitted to ste ag with Engine speed wa= uren tija tie Wp = 93.3337605 +3:08 P. 1912) 2T wah = 3211.76 pm from gooph Wer 3211.78 rpm Ibft In 124 Fuera Tynxica xif 리 =12r80.83 x 3008 Citron Fren = 356.09.16 tm.a Now Arcebiding seened, Fuena Fooh + fall & Egred =191.5888b. / 28G (Focio teoll ff god od 6suph of a From 2014 substitute iner 355.09 3100 12:588 + 22:14 a=16864 ftsAZ PLEATE MOTE 4ts ne cessed fosna 42