WEBFEATS II USMA West Point West Point, NY July 22-26th, 2002 Page Created by: Kara Fromke Annette Hagelberg Ray Obst Jami Stone "Group Photo"
 Bear Mountain Inn Bear Mountain State Park, NY

 The Carousel Carousels are not exactly considered "thrill machines." Yet, carousels are as reliant on the laws of motion as their more exciting cousins, the roller coasters. Let's take a trip to the Bear Mountain State Park in New York. You are going to take a ride on the all new Bear Mountain Carousel. The carousel was opened in 2001 and is housed in its own private pavilion. After enjoying the ride you should be able to take the data that has been collected and explore the math behind this simplistic amusement park ride.

 Linear Motion Problem Kara and Jami took a ride on the Bear Mountain Carousel. Jami selected a horse on the outside row, where Kara chose to sit in the row closest to the center of the carousel. The rows are 17.6 feet and 12.4 feet respectively. The angular speed of the carousel is 4.3 revolutions per minute. in Calculate the linear speed of each rider in feet per second? Who is traveling at a faster rate? Why? (Round answers to the nearest tenth) SOLUTION

 THINK ABOUT IT . . . Are some horses moving faster than others? The carousel is a delicate balance of motion and forces. All of the horses move through one complete revolution in the same amount of time. The horses on the outside of the carousel have to cover more distance than the inside horses in this time. This means the horses on the outside have a faster linear speed than those at the hub. Check out this geometrical representation of the problem

 Extended Carousel Investigations For further investigations, click here for a worksheet. Once you finish the worksheet, click here for solutions page. (Be patient, the solutions take a moment to load)

 Take a look here to see our work in progress

July 25, 2002