GATE ME 2018 Set 1 — Question 40

MCQ+2 / -0.67MediumSimple, Compound & Epicyclic TrainsCams, Gears & Gear TrainsTheory of Machines & Vibrations

Theory of Machines & Vibrations → Cams, Gears & Gear Trains → Simple, Compound & Epicyclic Trains

Last updated 5 September 2026

Question

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

N_B = N_A \times \left(-\frac{T_A}{T_B}\right) = 300 \times \left(-\frac{20}{30}\right) = -200

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N_B = N_A \times \left(-\frac{T_A}{T_B}\right) = 300 \times \left(-\frac{20}{30}\right) = -200

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