The minimum number of teeth on the pinion which will mesh with any gear without interference for a \(14 \frac{1}{2}\) full depth involute gear teeth is

This question was previously asked in
HPCL Engineer Mechanical 12 Aug 2021 Official Paper (Shift 1)
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  1. 18
  2. 14
  3. 32
  4. 12

Answer (Detailed Solution Below)

Option 3 : 32
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Detailed Solution

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Explanation:

Interference is a phenomenon in which the addendum tip of gear undercuts into the addendum or base circle of a pinion.

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This tooth interface can be reduced by increasing the number of teeth above a certain minimum number.

System of gear teeth

Minimum number of teeth on the pinion

\(14\frac{1}{2}^\circ Composite\)

12

\(14\frac{1}{2}^\circ Full~depth~involute\)

32

20° full depth involute

18

20° Stub involute

14

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