WCLN.ca PHYSICS 12 8. Engineers design roller coasters for excitement. Feelings of weightlessness and high accelerations make a ride great. You may have noticed that the loops in roller-coasters are rarely circular. They are called "clothoid loops" Explain how this design changes the experience of the passenger at the top (where r is reduced). Clothoid Loop Circular Loop Draw a FBD for a passenger at the top of the loop and use FNET=ma to show how it will change the ride experience. (ans. Compared to the Circular Loop, a Clothoid loop will create a larger FN on top and a similar EN on bottom since the radius at the bottom is roughly the same for both loops. USE EQUATION of motion to show that FN increases at the top!)

WCLN.ca PHYSICS 12 8. Engineers design roller coasters for excitement. Feelings of weightlessness and high accelerations make a ride great. You may have noticed that the loops in roller-coasters are rarely circular. They are called "clothoid loops" Explain how this design changes the experience of the passenger at the top (where r is reduced). Clothoid Loop Circular Loop Draw a FBD for a passenger at the top of the loop and use FNET=ma to show how it will change the ride experience. (ans. Compared to the Circular Loop, a Clothoid loop will create a larger FN on top and a similar EN on bottom since the radius at the bottom is roughly the same for both loops. USE EQUATION of motion to show that FN increases at the top!)