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Given: Involute profile teeths of mating gear: 20 and 40 Pressure angle = 20° module = 10mm The constraint: The addendum on each wheel is to be made of such a length that the line of contact on each side of the pitch point has half the maximum possible length. Find the length of arc of contact in mm.

Given: Involute profile teeths of mating gear: 20 and 40 Pressure angle = 20° module = 10mm The constraint: The addendum on each wheel is to be made of such a length that the line of contact on each side of the pitch point has half the maximum possible length. Find the length of arc of contact in mm. Correct Answer 54.6

r = m.t/2 = 100mm R = 200mm We know that length of path of contact = (R+r)sinΦ/2 = 51.3mm Arc of contact = length of path of contact / cosΦ = 54.6mm.

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Given, Involute profile teeths of mating gear: 20 and 40 Pressure angle = 20° module = 10mm The constraint: The addendum on each wheel is to be made of such a length that the line of contact on each side of the pitch point has half the maximum possible length. Find the addendum height for the larger gear wheel in mm.
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