Q:

The path of approach = 13.92 mm and path of recess = 11.56 mm. The pressure angle is 22.5°. The module is 4 mm. Find the contact ratio of these two gears.

A) 2.19 B) 3.54
C) 3.12 D) 2.53
 
Answer & Explanation Answer: A) 2.19

Explanation: Path of contact = Path of approach + Path of recess = 13.92 + 11.56 = 25.48 mm
Arc of contact = Path of contact/cos ? = 25.48/cos 22.5° = 27.58 mm
Contact ratio = Arc of contact/ Circular pitch = Arc of contact / ?m = 27.58/(?x4) = 2.19.

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