Bevel Gears:
Assume γg, γp be respectively pitch angles of gear and pinion. Assume rg and rp respectively be pitch circle radii of gear and pinion,.
From Figure (c), we can say
sin γ g = rg / OP and sin γ p = rp/ OP
By dividing both sides by cos γg
. . . (9.18)
The pitch line velocity,
Vp = ωg rg = ωp rp
Likewise,
. . . (9.19)