What does geometry have to do with roller coasters?

Question

If our geometry class can write a proposal of what geometry have to do with roller coasters, our teacher has agreed to take us to six flags. I just need a few more idea. Thanks

Answer 1

Roller Coasters have everything to do with geometry.  It is critical to understanding their design, and why they are so fun!

The thrill of roller coasters exists in the feeling of flying and diving, the experience of speed and accelleration, tilting and turning, not to mention going upside down, and feeling positive and negative G-forces due to track curvature.

These experiences all depend on geometry: angles, curves, circles, triangles, cylinders, and the list goes on...

For example, there is one specific shape that nearly every loop-de-loop has, so that the g-forces on the rider are constant for the duration of the loop.  Otherwise, the ride might be too jarring.

Also, consider the corkscrew, in which the train car is twisting in a spiral.  If it is a steel-tube coaster, a very specific geometry is required to keep the two track rails equidistant, so the wheels can stay in contact with it.

Lastly, steel coasters tend to use large triangle trusses, coupled with cantilevers as supports.  What's more, wood coasters have very complex truss structures with tons of triangles, for rigidity and stability.

Geometry is the fundamental academic subject of discussion regarding Roller Coasters.  And roller coasters are one of the most intriguing ways to discuss applied geometry.

Answer 2

The angle measurements. The area . ALOT!

Answer 3

Geometry and math are very important in the design of rollercoasters! There is the angle of descent, the shape and size of inversions, and other elements.

For example the shape of of a vertical loop is important along with the size so that the G-forces don't injure riders. The angle of decent is important for the same reason; safety. The angle of a drop is important, and it can't be too steep at the bottom, or riders could be injured. It also can't be too steep for the type of of train or vehicle that runs on the track, for maintenance and safety reasons.

Hope this helps!