GATE ME 2014 Set 4 — Question 43

MCQ+2 / -0.67MediumInterference & UndercuttingCams, Gears & Gear TrainsTheory of Machines & Vibrations

Theory of Machines & Vibrations → Cams, Gears & Gear Trains → Interference & Undercutting

Last updated 5 September 2026

Question

It is desired to avoid interference in a pair of spur gears having a 20° pressure angle. With increase in pinion to gear speed ratio, the minimum number of teeth on the pinion

T_p = \frac{2 A_w}{G \left[ \sqrt{1 + \frac{1}{G} \left( \frac{1}{G} + 2 \right) \sin^2 \phi} - 1 \right]}

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T_p = \frac{2 A_w}{G \left[ \sqrt{1 + \frac{1}{G} \left( \frac{1}{G} + 2 \right) \sin^2 \phi} - 1 \right]}

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