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The pressure angle of two gears in a mesh is φ = 20°. The gear ratio is 3 and the number of teeth on the pinion is 20. The module is given to be 8 mm. The addendum is one module. Find the path of contact of these two gears.

The pressure angle of two gears in a mesh is φ = 20°. The gear ratio is 3 and the number of teeth on the pinion is 20. The module is given to be 8 mm. The addendum is one module. Find the path of contact of these two gears. Correct Answer 39.458 mm

φ = 20°, t = 20. Hence, T = 20 x 3 = 60. Addendum = 1 module r = mt/2 = 80 mm, R = mT/2 = 240 mm ra = r + a = 88 mm, Ra = r + a = 248 mm Path of contact = (Ra2 – R2cos2 φ)0.5+ (Ra2 – R2cos2 φ)0.5 – (R+r)sin φ = 39.458 mm.

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