Subtopic: Overload safety devices used in farm machinery
Question Statement:
An epicyclic gear train consists of a sun gear, four planet gears pinned on a planet carrier (which is mounted on the sun gear) and a fixed ring gear (in which the entire sun-planet gear assembly is inserted). If the ring gear has 56 teeth and each planet gear has 18 teeth, the number of teeth on the sun gear is _______.
Official Answer Key:
20.00 to 20.00
Step-by-Step Solution & Explanation
Geometric compatibility of an epicyclic (planetary) train: T_ring = T_sun + 2 T_planet.
56 = T_sun + 2(18) = T_sun + 36
T_sun = 20 teeth.
Note: the number of planets (four) affects only the equal-spacing condition, not this relation.
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