Minimum number of teeth to avoid interference - Theory of Machines - 2

Q.  If number of teeth on pinion and wheel are equal, then which relation is used to obtain minimum number of teeth in order to avoid interference with wheel

where  Aw = addendum coefficient of wheel
- Published on 06 Aug 15

a. 2 Aw / [ √(1+ 3 sin2 Φ) ] - 1
b. Aw / [ √(1+ 3 sin2 Φ) ] - 1
c. 2 Aw / [ √(1+ 2 sin2 Φ) ] - 1
d. Aw / [ √(1+ 2 sin2 Φ) ] - 1

ANSWER: 2 Aw / [ √(1+ 3 sin2 Φ) ] - 1

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