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The pressure angle of two gears in a mesh is φ = 35°. The number of teeth on the pinion is 20. The module is 10 mm and the addendum is 1 module. Find the path of recess of these gears.

The pressure angle of two gears in a mesh is φ = 35°. The number of teeth on the pinion is 20. The module is 10 mm and the addendum is 1 module. Find the path of recess of these gears. Correct Answer 16.058 mm

φ = 35°, t = 20, m = 10 mm and addendum = 1 module = 10 mm. r = mt/2 = 100 mm and ra = r + a = 110 mm Path of recess = (ra2 – r2cos2 φ)0.5 – rsinφ= 16.058 mm.

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