What are the three concepts of physics that a roller coaster must obey?

Summary. Students explore the physics exploited by engineers in designing today's roller coasters, including potential and kinetic energy, friction and gravity.



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A roller coaster is a machine that uses gravity and inertia to send a train of cars along a winding track. The combination of gravity and inertia, along with g-forces and centripetal acceleration give the body certain sensations as the coaster moves up, down, and around the track.

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If the tracks tilt up, gravity applies a downward force on the back of the coaster, so it decelerates. Since an object in motion tends to stay in motion (Newton's first law of motion), the coaster car will maintain a forward velocity even when it is moving up the track, opposite the force of gravity.

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The two most important forms for amusement park rides are kinetic energy and potential energy. In the absence of external forces such as air resistance and friction (two of many), the total amount of an object's energy remains constant.

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Roller coasters are driven almost entirely by basic inertial, gravitational and centripetal forces, all manipulated in the service of a great ride. Amusement parks keep upping the ante, building faster and more complex roller coasters, but the fundamental principles at work remain the same.

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10 Things You Never Knew About Roller Coasters
  • If all countries were as cold as Russia, roller coasters may not exist. ...
  • The world's fastest roller coaster is very fast. ...
  • The U.S.'s first roller coaster was very slow. ...
  • There's a roller coaster still in use that's over 100 years old.


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A roller coaster is a machine that uses gravity and inertia to send a train of cars along a winding track. The combination of gravity and inertia, along with g-forces and centripetal acceleration give the body certain sensations as the coaster moves up, down, and around the track.

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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.

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Friction against the track and air resistance act against inertia, so each subsequent hill is lower. Early coasters were very slow, so coasters were engineered for the illusion of speed through low hanging ceilings and deliberately swaying tracks.

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Lift hills usually propel the train to the top of the ride via one of two methods: a chain lift involving a long, continuous chain which trains hook on to and are carried to the top; or a drive tire system in which multiple motorized tires (known as friction wheels) push the train upwards.

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The RCDB identifies eight main coaster types: Sit-down: The traditional design, with riders sitting inside a car. Stand-up: Riders stand on the train's floor instead of sitting. Inverted: The train travels below the track instead of on top of it.

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In a roller coaster loop, riders are pushed inwards toward the center of the loop by forces resulting from the car seat (at the loop's bottom) and by gravity (at the loop's top). Energy comes in many forms. The two most important forms for amusement park rides are kinetic energy and potential energy.

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