Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 6 the driving gear on the left has 60 teeth. the driven gear o…

Question

question 6
the driving gear on the left has 60 teeth. the driven gear on the right has 36 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: Relate teeth count to gear ratio

The gear ratio $GR$ is the ratio of driving gear teeth to driven gear teeth:
$GR = \frac{\text{Driving teeth}}{\text{Driven teeth}} = \frac{60}{36} = \frac{5}{3}$

Step2: Link gear ratio to torque

For gears, torque is inversely proportional to rotational speed, and speed is inversely proportional to gear ratio. Torque of driven gear $T_d$ is:
$T_d = T_{drive} \times GR$
Since $GR > 1$, $T_d > T_{drive}$.

Answer:

Increase