Question

question 3
the driving gear on the left has 72 teeth. the driven gear on the right has 72 teeth. will the driven gear turn faster, slower, or at the same speed as the driving gear?
faster
slower
same speed

Explanation:

Step1: Recall gear speed relationship

The rotational speed of meshed gears is inversely proportional to their number of teeth, given by $\frac{n_1}{n_2} = \frac{N_2}{N_1}$, where $n$ is rotational speed and $N$ is number of teeth.

Step2: Substitute given tooth counts

Here, $N_1 = 72$, $N_2 = 72$. Substitute into the formula:
$\frac{n_1}{n_2} = \frac{72}{72} = 1$

Step3: Interpret the result

A ratio of 1 means $n_1 = n_2$, so speeds are equal.

Answer:

Same speed