Physics/MechanicsMost roller coaster loops are not circular in shape. A commonly used shape is the clothoid loop, which resembles an inverted tear drop and allows for less intense G-forces throughout the element for the rider.
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Rollercoaster loops are most often not perfect circles – instead, they are teardrop-like in shape. This is because it takes a greater amount of acceleration to get the train around a perfectly circular loop.
A circular loop has two very fundamental problems: The g-forces that a body is exposed to at the bottom of the loop exceed what is safe (when travelling at a speed that just allows the car to sail over the top of the loop).
Basic mathematical subjects such as calculus help determine the height needed to allow the car to get up the next hill, the maximum speed, and the angles of ascent and descent. These calculations also help make sure that the roller coaster is safe. No doubt about it--math keeps you on track.
Physics/MechanicsMost roller coaster loops are not circular in shape. A commonly used shape is the clothoid loop, which resembles an inverted tear drop and allows for less intense G-forces throughout the element for the rider.
The purpose of the coaster's initial ascent is to build up a sort of reservoir of potential energy. The concept of potential energy, often referred to as energy of position, is very simple: As the coaster gets higher in the air, gravity can pull it down a greater distance. You experience this phenomenon all the time.
What causes motion sickness? Your brain receives signals from motion-sensing parts of your body: your eyes, inner ears, muscles and joints. When these parts send conflicting information, your brain doesn't know whether you're stationary or moving. Your brain's confused reaction makes you feel sick.
The normal force however has a small magnitude at the top of the loop (where the rider often feels weightless) and a large magnitude at the bottom of the loop (where the rider often feels heavy).
The maximum speed of a roller coaster is determined by the height at which the train is released or the energy input into the system via a launch, but there are additional factors that determine how far it will roll before stopping.
Riders may experience weightlessness at the tops of hills (negative g-forces) and feel heavy at the bottoms of hills (positive g-forces). This feeling is caused by the change in direction of the roller coaster. At the top of a roller coaster, the car goes from moving upward to flat to moving downward.
Different types of brakes are used to stop the train at the end of a ride. These brakes use friction to slow down and stop a roller coaster's momentum by converting the train's kinetic energy into heat energy. For example, roller coasters are kind of like riding your bike down a hill.