Question

Figure 4.8(C) shows the top half of a compound epicydic gearset. If the input shaft . is rotating at 4500 rpm and the Annulus gear A, rotating at 4500 rpm, determine the speed and direction of the output shaft, o. Given number of teeth : A1 (internal) = 100 ; Su = 50; Az (internal) = 120 and S2 = 40. A2 All S1 S2 Figure 4.8(c) [No=-3500rpm

Answer given is No=-3500rpm

Answer 1

1621 S system (2) System & Given Power train is divided into two systems: as shown in the above tigree. (1) and (2) let us study study these cystems separately and evaluate the angular velouties through Tabulas method: system (4) System (2) S2 dels, G 1.b dz G2 NG2 - Nor. NG2 -Nsi I-NOS NG NG A - - NG о 0 we Norr x و حمام عمال حجر حجر جهرم х NAZ NAT Non Nina Inity y 52 vyty, Norty, MtY2 الم NAZ NAI +2 thi

we see that velocity A angulas given input shatt (1) is en as W = W = 4500. from the table, Nity, 4500 - O. Given of annules - 4500 rpm. year A, a from the table, Nas Xz+ Y = - 4500. Given noof teeth on si, Noi = 50. A, NAL = 100. xt In – 4500. 100 OY -X₂ + 27 ₂ = 9000 From the table speed of Si can be giver as Cosi Y = 2t 92 Met = 4 ③ be from the table speed do A can given as Noz WAZ - NAZ No. of teeth on gear s = N = 40 on gear ANAL = 120.

40 MtY = 120 4 - x +39 = 342 have to find the output speed which AZ Je reing 4 equations, from Eg. O, have 4, = 4500-X, from Eq. 6. and o x + 3 (4500-) - 342 3 (4500) = 392 - - quit .* (1500) –> > ©. in from Eq. and y = 1500- 4500- 3 (1500)t 1 1 2 1.9. (900) + 9 > from Eg (and , Beth 1 (1500) + 2 3 4

> 4R2+ = 4500 8) 1 From Eg. ② and ③, Xy-29% = 9000 2X (MMq + 9 = 4500.) Adding - 9Kg = 18000 - x= 2000. and Y2 = -3500 speed of Annulen gear de is وا Az = Y = -3500 rpm. speed of subput shalt d' is N = - 3500 rpm (dnes.