Resources

Modeling Scenario

1-120-CircularRollerCoaster-ModelingScenario

Author(s): Kevin Huang

Centennial High School, Ellicott City MD USA

Keywords: population dynamics energy Fluid Mechanics m friction roller coaster integration by8 parts

350 total view(s), 346 download(s)

Abstract

Resource Image Students study the dynamics of a circular roller coaster and work out the equations of motion in the ideal case as well as considering the interesting complication of including kinetic friction. This problem is an excellent introduction for students

Citation

Researchers should cite this work as follows:

Article Context

Description

Consider a cart of mass m moving through a vertical circle of radius R. We will assume the size of the cart is much smaller than the circle and neglect the rotational inertia of the cart's wheels. The acceleration due to gravity is g.

Model to calculate the minimum initial velocity of the cart for it to stay on the track throughout the loop

Article Files

Authors

Author(s): Kevin Huang

Centennial High School, Ellicott City MD USA

Comments

Comments

There are no comments on this resource.