Question

A standard 20° pressure angle, 20 tooth pinion with a diametral pitch of 12 rotates at 1776 rpm driving a mating gear at 740 rpm.a) How many teeth are there on the gear?b) What are the pitch diameters of the pinion and gear?c) What are the standard addendum and dedendum diameters of the pinion and gear?d) What is the theoretically correct center distance?e) What are the radial, tangential and normal tooth loads when contact between the pinion and the gear occurs at the pitch point and the gearset is transmitting ½ hp?

Answer 1

Answer:

A) 48

B) Pitch diameters : pinion = 42.164 mm, Gear = 101.19 mm

C) standard addendum : pinion = 46.3804, Gear = 105.406

    standard dedendum : pinion = 37.265 mm, Gear = 96.312 mm

D) 71.672 mm

E) 94.989 N , 101.0858 N,  34.573 N

Explanation:

Given Data :

∅ = 20⁰ , Tp = 20 ( tooth pinion ),

diameter pitch = 12, Np = 1776 rpm ,

Ng = 740 rpm,

attached below is the detailed solution of the given problems