Two gears in a 3: 1 ratio gearset and with a diametral pitch of 4 are mounted at a center distance of 6 in. find the number of teeth on the pinion. ( note that the smaller gear is the pinion, and the larger gear is the gear)

Number of teeth on pinion = = 12

Step-by-step explanation:

Given:

Gear ratio = 3 : 1 = 3

Diametral Pitch = P = 4

Center distance = c= 6 in

No. of teeth on Pinion = =?

Gear ratio = = = 3

As Gear ratio = 3, so

Diameter ratio = = 3  

(Note : Diameter Ratio = Gear ratio )

                                    Equation 1

Center Distance = c = = = 2 (c)

= 2 (6) = 12 in

substitute from equation 1, here

= 12

= 12

= = 3

=3in

Now : Diametral Pitch =P=

=

 = 4 (3)

= 12

Which are the number of teeth on pinion