Question 2.16: Two gear wheels mesh together, as shown in Figure 2.1. One h...

We hope you can see, from Figure 2.1, that the larger gear wheel will make fewer revolutions than the smaller gear wheel in a given time. Therefore, we are dealing with inverse proportion. The ratio of teeth of the smaller gear wheel compared to the larger gear wheel is

\frac{45}{60}=\frac{3}{4}

Therefore, the ratio of angular velocities must be in the inverse proportion \frac{4}{3}.

Then the velocity of the smaller gear wheel = \left(\frac{4}{3}\right) 150 = 200 rpm.