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. Beth and Steve go on another carousel that has an angular speed of π/8 radians per second. Beth's linear speed is 2π feet per second. How far is she standing from the center of the carousel?

Answer 1

Linear velocity = angular velocity x radius

so r= (2pi)/(pi/8) = 16 feet