Question

the driving gear on the left has 24 teeth. the driven gear on the right has 72 teeth. will the torque of the driven gear increase, decrease, or stay the same compared to the driving gear?
increase
decrease
stay the same

Explanation:

Step1: Recall gear torque relationship

Torque is proportional to gear teeth count: $\frac{T_2}{T_1} = \frac{N_2}{N_1}$, where $T$ = torque, $N$ = number of teeth.

Step2: Plug in given values

$N_1=24$, $N_2=72$. Calculate ratio: $\frac{T_2}{T_1} = \frac{72}{24}=3$

Step3: Analyze torque change

$T_2=3T_1$, so driven torque is larger.

Answer:

Increase