Friday, 6 May 2011

Done by:
Aisha ALDhaheri
ALYazia ALnuaimi



*Roller Coaster History*

The very first “roller coasters” were created in Russia in the 1600’s, and were nothing like the typical roller coaster that comes to mind today.  People rode down steep ice slides on large sleds made from either wood or ice that were slowed with sand at the end of the ride. These sleds required skill to navigate down the slides, and accidents were frequent.

A Frenchman tried to cash in on the popularity of the Russian ice slides by building one in France, but the warm climate quickly ended his attempts with ice.  A waxed wooden slide proved to be much more feasible, along with wooden wheeled sleds.  Just as with the ice slides, the necessity of navigation skills caused many accidents, so tracks were produced to keep the sleds in line.

In the 1850’s, the first shot at a vertical loop was made in France.  This “Centrifuge Railway” offered a rail car that would travel through the loop with nothing keeping it there aside from its own centripetal acceleration.  Government officials quickly shut the operation down after one accident.

The beginning of American roller coasters was near the end of the 19th century when railway companies set up amusement parks at the end of their lines to increase business on the weekends.  In 1884 the first real roller coaster in America was introduced: a gravity driven switchback train.  Passengers would climb a set of stairs to board the car, which was then pushed from the station to travel down a hill and over a few bumps.  At the bottom, the passengers got out and climbed another set of stairs while workers hoisted the car to the top of the second station.  The passengers got back into the car and rode to the first station on a second track.
Another attempt at a vertical loop was tried in 1898, and was called the Flip-Flap Railway.  However, the loop on this ride was a circle, as opposed to the clothoid loops that are used in roller coaster design today.  This caused a problem: the forces generated by the circular loop were so strong that riders’ necks were snapped.
The beginning of the 20th Century saw great leaps in roller coaster safety.  The first roller coaster to employ trains with an up-stop wheel system that held to the track rather than just sitting atop it was built in 1912. This was a huge leap as it gave the opportunity for greater speed and steeper hills.  Many coasters were built through the 1920’s, but the 1929 stock market crash, the Great Depression and World War II saw a severe decline in their numbers.

Disneyland, America’s first theme park, opened in 1955, and brought with it a new era for amusement parks.  Disney introduced the first tubular steel roller coaster, the Matterhorn, in 1959.  Before this, roller coasters had always been built from wood, but the steel track was a huge improvement, offering not only greater stability, but also opening the door for loops and corkscrews.

*Gravity and Potential Energy*

Gravity is the driving force of a roller coaster.  From the moment the roller coaster train passes the peak of the lift hill, it is the acceleration due to gravity that brings it back to the beginning.  When the train is released from the top of the lift hill, gravity pulls it down.  The train begins slowly, then picks up speed as it approaches the bottom of the hill.  As it begins to climb the next hill, the speed decreases.  This is because of the acceleration due to gravity, which occurs at 9.80m/s2 straight down toward the center of the Earth. 

The initial hill, or the lift hill, is the tallest in the entire ride.  As the train is pulled to the top, it is gaining potential, or stored energy.  The higher the lift, the greater the amount of potential energy gained by the train.  This is shown by the equation for potential energy:

U= mgh

Where Ug is potential energy, m is mass in kilograms, g is acceleration due to gravity, and h is the distance above the ground in meters. Because mass and gravity are constant for the train, if the height of the train above the ground is increased, the potential energy must also increase.  This means that the potential energy for the roller coaster system is greatest at the highest point on the track: the top of the lift 

*Velocity and Kinetic Energy*

As the roller coaster train begins its descent from the lift hill, its velocity increases. This causes the train to gain kinetic energy, which is the energy of motion.  The faster the train moves, the more kinetic energy the train gains.  This is shown by the equation for kinetic energy:

K = 1/2mv2image003.jpg

Where K is kinetic energy, m is mass in kilograms, and v is velocity in meters per second.  Because the mass is constant, if the velocity is increased, the kinetic energy must also increase.  This means that the kinetic energy for the roller coaster system is greatest at the bottom of the highest hill on the track: the bottom of the lift hill. When the train begins to climb the next hill on the track, the train starts to slow down, thereby decreasing its kinetic energy.

*Conservation of Energy*

Energy cannot be created or destroyed, but it can be converted from one form to another.  For the idealized roller coaster, all energy is conserved through conservative forces, such as gravity.  As the train accelerates down the lift hill, potential energy is converted into kinetic energy.  When the train ascends another hill, the kinetic energy is converted into potential energy again.  This is conservation of mechanical energy, and it continues throughout the entire ride.  The total mechanical energy for the train is shown by the equation:

E = K + U

Where E is the total mechanical energy, K is kinetic energy, and U is potential energy.  From this, the equation for conservation of total mechanical energy can be derived:

Ei = Ef
Ki + Ui = Kf  + Uf

Where Ei is total initial mechanical energy and Ef is total final mechanical energy.  This shows that the total initial mechanical energy equals the total final mechanical energy for the system.  It is because of this phenomenon that a roller coaster is called a “coaster.”  After the initial input of energy to carry the train up the lift hill, the roller coaster simply coasts through the rest of the ride.