GATE Mechanical Engineering (ME) 2018 Shift 1 Solved Paper

Question : 38 of 65

Marks: +1, -0

An epicyclic gear train is shown in the figure below. The number of teeth on the gears A, B and

D

are 20,30 and 20 , respectively. Gear C has 80 teeth on the inner surface and 100 teeth on the outer surface. If the carrier arm

{AB}

is fixed and the sun gear A rotates at 300 rpm in the clockwise direction, then the rpm of

D

in the clockwise direction is

Solution:

T_{A}=20, T_{B}=30, T_{D}=20, T_{c}=80(\;\text " Inner "\;)

T_{c}=100(\;\text " Outer "\;)

Arm is fixed, no epicyclic nature. Taking clockwise direction as positive.

N_{A}=+300

(A, B) \;\;\;N_{B}=-\;{300 × 20}/{30}=-200

(B, C)\;\;\; N_{c}=-200 × \;{30}/{80}=-75

(C, D) \;\;\;N_{D}=+75 × \;{100}/{20}=+375

Go to Question:

Prev Question

Next Question