Answer to Question #208127 in Mechanical Engineering for Sanajit

Question #208127

An epicyclic gear consists of bevel wheels as shown in Fig. 13.49. The driving pinion A has 20 teeth

and meshes with the wheel B which has 25 teeth. The wheels B and C are fixed together and turn freely

on the shaft F. The shaft F can rotate freely about the main axis X X. The wheel C has 50 teeth and

meshes with wheels D and E, each of which has 60 teeth. Find the speed and direction of E when A

rotates at 200 r.p.m., if

1. D is fixed, and 2. D rotates at 100 r.p.m., in the same direction as A.

In both the cases, find the ratio of the torques transmitted by the shafts of the wheels A and E, the

friction being neglected

Expert's answer

The speed of A

Part a

D is fixed

Speed of E,

E rotates at 800 rpm in the direction opposite to A

Part b

D rotates at 100 rpm in the same direction of A

Speed of E

E rotates at 300 rpm in the direction to A

Case A

The ratio of torque transmitted by the shaft of wheel A and E is 4

Case B

The ratio of torque transmitted by the shaft of wheel A and E is 1.5

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