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 contact ratio.

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 contact ratio. Correct Answer 1.74

r = m.t/2 = 100mm R = 200mm We know that length of path of contact = (R+r)sinΦ/2 = 51.3mm Pitch = πx10 = 31.42 Contact ratio = length of path of contact/pitch = 1.74.

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