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Direction: A gear set has a pinion with 20 teeth and a gear with 40 teeth. The pinion runs at 30 rev/s and transmits a power of 20 kW. The teeth are on the 20° full-depth system and have a module of 5 mm. The length of the line of action is 19 mm.

  1. The contact ratio of the contacting tooth is
    1. 1.21
    2. 1.25
    3. 1.29
    4. 1.33
Correct Option: C

Arc of contact (AOC) =
19
= 20.21 mm
cos 20°

Circular pitch =
πd
= π m = π × 5 = 5πmm
z

Contact ratio =
LOA
=
20.21
= 1.29
Circular pitch5.π



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