The square ABCD has sides of length 7 cm - Leaving Cert Mathematics - Question 5 - 2018

Since wheels u and v are in non-slip contact, we can find the relationship between their rotations.

Let the number of rotations made by wheel u be represented as $u$.
Then, the relationship can be expressed as:

$C_u * u = C_v * 100$

Substituting the circumferences:

$8 ext{π} * u = 12 ext{π} * 100$

Dividing both sides by $8 ext{π}$ gives us:

$u = \frac{12 * 100}{8} = 150$

Thus, wheel u makes 150 complete rotations when wheel v completes 100 rotations.