GATE ME 2023 Set 1 — Question 29
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Theory of Machines & Vibrations → Cams, Gears & Gear Trains → Gear Terminology & Law of Gearing
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Question
Two meshing spur gears 1 and 2 with diametral pitch of 8 teeth per mm and an angular velocity ratio , have their centers 30 mm apart. The number of teeth on the driver (gear 1) is _______ .
Correct answer
95.999 to 96.001
Solution
Given:
Diametral pitch, teeth/mm
Velocity ratio, (since )
Center distance, mmThe center distance for meshing gears is given by:Since the velocity ratio is 4, the pitch circle diameters are related by:Substituting in the center distance equation:The number of teeth on the driver (gear 1) is:
Diametral pitch, teeth/mm
Velocity ratio, (since )
Center distance, mmThe center distance for meshing gears is given by:Since the velocity ratio is 4, the pitch circle diameters are related by:Substituting in the center distance equation:The number of teeth on the driver (gear 1) is:
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