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A pair of bevel gears is mounted on two intersecting shafts who have a shaft angle of 70°. The velocity ratio of the gears is 2. Find the pitch angles.

A pair of bevel gears is mounted on two intersecting shafts who have a shaft angle of 70°. The velocity ratio of the gears is 2. Find the pitch angles. Correct Answer 48.14°, 21.86°

θ = 70°, wg/wp = 1/2 tan yg = ((sin θ)/((wg/wp)+cos θ)) = ((sin 70°)/((1/2)+cos 70°)) = 1.16 yg = 48.14° tan yp = ((sin θ)/((wp/wg)+cos θ)) = ((sin 70°)/((2)+cos 70°)) = 0.4 yp = 21.86° We can confirm this by checking that yg + yp = θ = 70°.

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