Question

Aroad grader has 36" diameter wheels which are driven by a two-stage planetary gear train as shown below. All years have 20 teeth except for the fixed ring gear which has 60 teeth. If the road speed of the grader is to be 20 mph calculate the required rotational speeds of the output shaft and input shaft. Determine the overall input to output ratio. Input 20 mph Output Note, choose one or more than one of the following MC answers and then type the letter (s) corresponding to the question number in the estay section of this problem with supporting calculations contained on the scratch sheet. If the answer requires the correct answers pe that in the sun section as well. 3a) Rotational speed of output shaft is: a) - 27 in b) - 187 RPM c) -16 d) - 19.6 rads e) All of the above 1) None of the above, the correct answer is 3b) Rotational speed of input shaft is a) -352 inds b) - 4500 RPM c) - 100 d) -313 rad e) All of the above n None of the above, the correct answer is

Answer 1

0 a Criven: veluty of output shaft zomph, diameeter 36" THE TI = 732 20 teeth T4 = 60 teeth 2 Solution: we have velocity Romph, Input I mile= . output 1.6 kilometre. Romph - 20x16 kilometre hr 1 kilometer .mls h 20 mph 20x 16 7,5 - 8.89 m/s velocity rxw 36 36 x 25.4X10 puso Now 8.89 78 x 25.4 x 10 3 xw. 19.44 sodians Isee 19.44x60 217 = 186 opm NO - have Warm = 19.44 rad /sec Gue

Gear I Gear 2/3(20) (20) Gear 4 (60) Gear is totaling with a rom. 2. - 3 wix Aeld y yta yox as gear u is fixed as y- A = 0 Jy = 7 Assuming go speed of arm = 19.40 radts x= 19.4 x3 = 5812radis Gear 1 = y +x= x + x = 4x speed of gear 1= 4x582 . 77.6 rad's. 3 :: Speed of shput shaft - 17.6 radls 3) If the answer the rotational speed of input shaft is fined, Is A that to ley increasing Here the number of teeth an by decreasing that i's the by changing the gear ratio ausput grader speed can increased be