Answer:
28.8 rpm
Step-by-step explanation:
The belt connection ensures that the linear speed of the edge of the pulleys will be the same. That means the rotation rate is inversely proportional to the pulley diameter. The radius of the smaller pulley is 5 inches, so its diameter is 10 inches.
The rotation rate of the smaller pulley will be ...
(16/10)(18 rpm) = 28.8 rpm