The bevel gears A and B have nominal radii R_A = 20mm and R_B = 5mm, respectively,

Question

and their axes of rotation are mutually perpendicular. If the angular

speed of gear A is 150 rad/s, determine the angular speed of gear B.

Answer 1

Both gears are rotates over their nominal circles relative to one another .

Both gears are do not slip.

Velocity of the points of contact  must be same.

v_A  = v_B

ω_A*r_A = ω_B*r_B

(150)(20) =( ω_B)(5)

 ω_B = (150)(20)/(5)

        = 600 rad/s

Therefore, the angular speed of the gear B is 600 rad/s