will you please please help with this trig problem, relating to angular velocity?

Question

A belt connects a pulley of radius 8 centimeters to a pulley of radius 6 centimeters. Each point on the belt is traveling at 24 centimeters per second. Find the angular velocity of each pulley.

picture available here http://i240.photobucket.com/albums/ff163/aari07/num3.jpg

Answer 1

One complete revolution of a pulley is:
1 revolution = 2πr
Larger pulley:
(24cm/sec)(1 revolution/2π8cm)(2πradians/1 revolution) = 3radians/sec
Smaller pulley:
(24cm/sec)(1 revolution/2π6cm)(2πradians/1 revolution) = 4radians/sec
If you want degrees per second, multiply the answers by 180 and divide by 2π.