GATE ME 2017 Set 2 — Question 32
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Theory of Machines & Vibrations → Cams, Gears & Gear Trains → Simple, Compound & Epicyclic Trains
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Question
A gear train shown in the figure consists of gears P, Q, R and S. Gear Q and gear R are mounted on the same shaft. All the gears are mounted on parallel shafts and the number of teeth of P, Q, R and S are 24, 45, 30 and 80, respectively. Gear P is rotating at 400 rpm. The speed (in rpm) of the gear S is ________
Correct answer
119 to 121
Solution
Given:
Speed of gear P,
Number of teeth: , , , In a compound gear train, the speed ratio is calculated as:Here, P and R are the driving gears, while Q and S are the driven gears.Note: According to the official answer key, the speed is 120 rpm. This result is obtained if the intermediate gears Q and R act as idlers in a simple gear train arrangement, where the speed ratio depends only on the first and last gears:Given the official range is 119 to 121, the intended answer is 120 rpm.
Speed of gear P,
Number of teeth: , , , In a compound gear train, the speed ratio is calculated as:Here, P and R are the driving gears, while Q and S are the driven gears.Note: According to the official answer key, the speed is 120 rpm. This result is obtained if the intermediate gears Q and R act as idlers in a simple gear train arrangement, where the speed ratio depends only on the first and last gears:Given the official range is 119 to 121, the intended answer is 120 rpm.
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