Numerical - Pitch cone angles, given number of teeth

Q. A pair of straight bevel gears consists of 16 pinion teeth and 42 gear teeth. What are the pitch cone angles of pinion and gear?
67.60^o & 32.4^o?
- Published on 23 Sep 15

a. 67.60^o & 22.39^o

b. 52.14^o & 37.86^o

c. 20.85^o & 69.14^o

d. 35.12^o & 54.88^o

ANSWER: 20.85^o & 69.14^o

Discussion

Sravanthi -Posted on 28 Sep 15
The angle made by pitch cone element with gear axis is pitch cone angle.
In bevel gears addition of pitch cone angles of bevel gear and bevel pinion is equal to 90^o
i.e γ_p + γ_g = 90^o

Given: Number of teeth on pinion = 16 & number of teeth on gear = 42

Formula: γ_p = tan^-1 (z_p / z_g) & γ_g = tan^-1 (z_g / z_p)

Substituting the given values we get,

γ_p = 20.85^o & γ_g = 69.14^o

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Numerical - Pitch cone angles, given number of teeth

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