Two standard spur gears have a diametrical pitch of 10, a center distance 3.5 inches and a velocity ratio of 2.5. How many teeth are on each gear?

Question

asked Aug 6, 2020 117k views

1 Answer

Ola Bini · Answer 1 · 2020-08-12T18:30:07+0000

Answer:50 , 20

Step-by-step explanation:

Given

Diametrical Pitch
$\left ( P_D\right )=(T)/(D)$

where T= no of teeths

D=diameter

module(m) of gears must be same

m=(D)/(T)=(1)/(P_D)=0.1

Let
T_1 & T_2 be the gears on two gears

Therefore Center distance is given by

$m(\left ( T_1+T_2\right ))/(2)=3.5$

thus

$0.1(\left ( T_1+T_2\right ))/(2)=3.5$

T_1+T_2=70----1

and Velocity ratio is given by

$VR=(No\ of\ teeths\ on\ Driver\ gear)/(No.\ of\ teeths\ on\ Driven\ gear)$

2.5=(T_1)/(T_2)----2

From 1 & 2 we get

T_1=50, T_2=20