(story problem in multiple parts)

1. The carousel makes a complete revolution in 12 seconds. How far did Beth go in one revolution? How far did Steve go in one revolution?
2. If the carousel continues making revolutions every 12 seconds, what is the angular velocity of the carousel?
3. What are Beth and Steve's linear velocities?
4. How far away from the center would Beth have to be in order to have a linear velocity of ft per second.
5. The carousel changes to a new angular velocity of 33 radians per second. How long does it take to make a complete revolution now?
6. With the carousel's new velocity, what are Beth and Steve's new linear velocities?
7. Beth and Steve go on another carousel that has an angular velocity of 88 radians per second. Beth's linear velocity is 22 feet per second. How far is she standing from the center of the carousel?
8. Steve's linear velocity is only 33 feet per second. How far is he standing from the center of the carousel?