Answer
$2080\ rpm$
Work Step by Step
The relationship of two rotating pulleys connected by a belt is:
(diameter of A)(rpm of A) = (diameter of B)(rpm of B).
Now we have
$$
9.00\times 1500=6.5\times x \Longrightarrow x=\frac{9.00\times 1500}{6.5}=2076.9\ rpm=2080\ rpm
.$$
