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In case the number of teeth on two bevel gears in mesh is 30 and 60 respectively, then the pitch cone angle of the gear will be

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in Machine Kinematics by (38.0k points)
In case the number of teeth on two bevel gears in mesh is 30 and 60 respectively, then the pitch cone angle of the gear will be

(a) tan^-12

(b) п/2 + tan^-12

(c) п/2 – tan^-10.5

(d) tan^-10.5

I got this question in an online quiz.

This intriguing question comes from Standard Spur Gears-1 topic in portion Toothed Gearing & Gear Trains of Machine Kinematics

1 Answer

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by (106k points)
Correct choice is (d) tan^-10.5

To elaborate: tanɸ = NP/NG

NP = No. of teeth of pinion

NG = No. of teeth of gear

ɸ = Pitch cone angle

ɸ = tan^-1(30/60)

ɸ = tan^-10.5.

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