![]() ![]() If your not comfortable with trigonometry functions, the equations can be rewritten and used as shown below. On a given curve if the velocity is greater or less than the design velocity then the cars may need a little frictional help to keep them on the track. R is the curves radius v is the car's velocity g is the acceleratin due to gravity, nad the angle is the angle with the horizontal as shown in the diagram. This is for the ideal banked curve where no friction is required to keep the car from sliding to the outside or inside of the curve. These are the forces acting on the car as the car travels around horizontal banked curves. In other words, if the banked curve were covered with ice -no friction- and the coaster did not have a steering mechanism the car would stay on the track. The ideal banked curve is one where no outside forces are needed to keep the car on the track. ![]() The trick is to tilt the track just the right amount. If the curve has a radius of 13.61, then how many g's does the rider feel?Ī banked curve reduces the riders sensation of being thrown sideways by turning the car sideways. Example 1Ī car travels around a flat curve at 20 m/ s. This acceleration can be converted to gs by dividing it by 9.80 m/ s 2. Where a is the acceleration felt by the rider to the inside of the circle, v is the velocity of the car and R is the radius of the curve. For a flat curve the inward net acceleration felt by the rider is calculated from the equation. If the roller coaster cars velocity is fast enough and the radius small enough, the stresses on the cars under carriage can be tremendous. ![]() There are two type of curves, flat curves and banked curves.Ī flat curve gives a rider the sensation of being thrown sideways. (Circular Motion, Free Body Diagrams, Kinematics and the Physiological Effects)Ī horizontal curve is a curve that does not rise or fall. Homepage Resource Book Online "Textbook" Syllabus ![]()
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