GATE ME 2025 Set 1 — Question 59
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Theory of Machines & Vibrations → Cams, Gears & Gear Trains → Interference & Undercutting
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Question
A pair of spur gears is required to maintain a velocity ratio of 1:2. The module of the gears is 10 mm and the addendum is 10 mm. If the operating pressure angle is 15°, the minimum number of teeth required on the pinion to ensure NO interference/undercutting is ____ (answer in integer).
Correct answer
25 to 25
Solution
To avoid interference in a pair of spur gears, the minimum number of teeth on the pinion () is given by:Where:
- is the addendum coefficient. Since addendum = module = , .
- is the gear ratio (velocity ratio) = .
- is the pressure angle = .
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