Quote:
In order for the conveyor belt to work smoothly, each wheel must rotate the exact same number of centimetres per minute.
This means that both wheels cover same distance in one minute.
By the way, for any wheel,
distance = revolutions x circumference.
Quote:
If the larger wheel makes r revolution per minute, how many revolutions does the smaller wheel make per hour in terms of r?
Let's assume that smaller wheel makes
s revolutions per hour. (But since revolutions of larger wheel is represented in minutes, we must convert s revolutions per hour to
s/60 revolutions per minute.)
Since, both wheel cover same distance, let's equate, keeping the distance same.
\(r * 40 * pi = \frac{s}{60} * 32 * pi\)
\(s = 75 * r\)
Hence, B is the correct answer.