+1 vote
in Machine Kinematics by (38.0k points)
There are six gears A, B, C, D, E, F in a compound train. The numbers of teeth in the gears are 20, 60, 30, 80, 25 and 75 respectively. The ratio of the angular speeds of the driven (F) to the driver (A) of the drive is

(a) 1/24

(b) 1/8

(c) 4/15

(d) 12

This question was addressed to me in a dream while sleeping

Question is taken from Contact Ratio topic in portion Toothed Gearing & Gear Trains of Machine Kinematics

1 Answer

0 votes
by (106k points)
The correct choice is (a) 1/24

For explanation: The ratio of angular speeds of F to A = TA.TC.TE/TB.TD.TF

                                                   = 20 x 30 x 25/60 x 80 x 75

                                                   = 1/24.

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