Answer to Question #302218 in Mechanics | Relativity for Goody

Question

A compound gear train has a 30tooth driver gear A, machine with a 90tooth follower gear B, mounted on thesame shaft as Band attached to it's gear Cwith 60 teeth, machine with a gear D on the output shaft having 120teeth. Calculate the velocity ratio and mechanical advantage if the overall efficiency is 72%

Answer 1

$\nu_A=1,$

$\nu_B=\frac{30}{90}\nu_A=0.33,$

$\nu_C=\nu_B=0.33,$

$\nu_D=\frac{60}{90}\cdot \frac{60}{120}\nu _B=0.11,$

$\nu_A:\nu_B:\nu_C:\nu_D=9:3:3:1,$

$p=\eta\frac{120}{30}=2.9.$