Final answer:
The rpm of the second pulley is 15.
Step-by-step explanation:
To find the rpm of the second pulley, we can use the formula:
Angular velocity of first pulley * diameter of first pulley = angular velocity of second pulley * diameter of second pulley
Plugging in the given values:
10 rpm * 15.0 cm = rpm of second pulley * 10.0 cm
Dividing both sides by 10.0 cm:
Rpm of second pulley = (10 rpm * 15.0 cm) / 10.0 cm = 15 rpm