The number of teeth on a pinion is equal to 20 and the gear ratio is 3. The pressure angle is equal to 15°. If the module is equal to 6 mm, find the path of contact when interference is just avoided.

The number of teeth on a pinion is equal to 20 and the gear ratio is 3. The pressure angle is equal to 15°. If the module is equal to 6 mm, find the path of contact when interference is just avoided. Correct Answer 62.116 mm

Giveφ = 15°, t = 20 and G = T/20 = 3, T = 20 x 3 = 60, m = 6 mm r = mt/2 = 60 mm and R = mT/2 = 180 mm Path of contact when interference is just avoided = maximum path of approach + maximum path of recess = r sinφ + R sinφ = 60 sin15° + 180 sin15° = 62.116 mm.
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