Beth and Steve are on a carousel. Beth is 7 feet from the center and Steve is right on the edge, 7 feet further from the center than Beth.

Question

1. If the carousel continues making revolutions every 12 seconds, what is the angular speed of the carousel?

Answer 1

Well 1 revolution is a full circle, so 2π radians

So 2π radians every 12 seconds

So angular speed = 2π / 12 radians per second (π / 6 when simplified)

Mike