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Physcoaster josh c

on Jul 07, 2011

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Physcoaster josh cPresentation Transcript

• The Physics of Roller Coasters
By Joshua Coyston
• How roller coasters complete
their circuits
• ‘Gravity’ is said to be the reason why roller coasters complete their circuits, but this isn’t technically true.
A lift hill moves the car / train up, increasing the gravitational potential energy (GPE). The car then gains kinetic energy as it loses gravitational potential energy. This conservation of energy explains why a standard roller coaster can never go higher than the height of its lift.
• Launch Roller Coasters
• Launch roller coasters are very different though; they have no form of lift to gain energy.
• Hydraulic systems are most commonly used for launch roller coasters, as they provide a constant acceleration during the entire launch. They usually require 8 pumps of approx. 500 horsepower to launch.
• Some roller coasters use LIM/LSM launch systems, which is where the train is propelled by electromagnets. This creates a very quick acceleration.
Hydraulic Motor
• Circular Motion
• When roller coasters are being designed, safety is of upmost importance. When looking at aspects such as vertical loops and such, circular motion is most commonly taken into account.
• V stands for Velocity
• r is the radius of the circle.
• T is the period of oscillation in the circle.
• Circular Motion in Action
• B is 3/8 of A. B = (23* 3/8) = 8.625
• X is A-B = 23 – 8.625 = 14.375
• Y, by chance, is also 14.375
• Z =(X2+Y2) = [(14.375)2 + (14.375)2] = 20.329
A=23m
Z m
So, d=20.329m  r=10.165m.
Given that T5s:
X m
Y m
V=(2*10.165)/5
V=12.8 m/s or 28.6 mph (3sf)
B m
• The Clothoid Loop
The Clothoid Loop, commonly known as ‘The loop-the-loop’ or a ‘Vertical Loop’, was first used on a roller coaster in 1975 and was designed by Werner Stengel. The main reason for this is because the circular loop causes much higher G-Forces on the body.
• The Curious Case of Saw’s Differing Radii
Red Line – How the track is.
Green line – How the should be to prevent a ‘bump’.
• Thanks for listening…