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The shaft angle of two helical gears is 60°. The normal module is 6 mm. The larger gear has 50 teeth and the gear ratio is 2. The centre distance is 300 mm. Find the helix angles of the two gears.

The shaft angle of two helical gears is 60°. The normal module is 6 mm. The larger gear has 50 teeth and the gear ratio is 2. The centre distance is 300 mm. Find the helix angles of the two gears. Correct Answer Ψ1 = 12.21°, Ψ2 = 47.79°

GiveΨ1 + Ψ2 = 60°; Ψ1 = 60° – Ψ2; mn = 6 mm; T2 = 50 and T1 = T2/G = 25. C = 300 mm C = 300 = (mn/2) ((T1/cos Ψ1) + (T2/cos Ψ2)) = 3((25/cos(60° – Ψ2))+(50/cos Ψ2) 100 = ((25/cos(60° – Ψ2))+(50/cos Ψ2) By trial and error method, we get Ψ2 = 47.79°, Ψ1 = 12.21°.

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