What physics are used in roller coasters?

Introduction. 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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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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When the coaster moves down a hill and starts its way up a new hill, the kinetic energy changes back to potential energy until it is released again when the coaster travels down the hill it just climbed. Gravity and inertia are big players when it comes to how you experience the ride.

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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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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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According to Kevin Hickerson, a physicist at the California Institute of Technology, “All the energy a roller coaster gets comes from the initial point it's cranked up to, and from there it just gains more and more kinetic energy.” The height of this first drop also determines the speed of the coaster cars.

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Roller coaster engineering falls under the domain of the mechanical engineer. Mechanical engineers apply the principles of engineering, physics, and material science for the design, analysis, manufacturing, and maintenance of mechanical systems.

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As the roller coaster slows down (deceleration) due to friction between the wheels and the track or air rushing by, the forces a rider feels ease off.

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Roller coasters rely on gravity to take them to the end of the track. This involves two types of energy, potential energy and kinetic energy.

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When you go around a turn, you feel pushed against the outside of the car. This force is centripetal force and helps keep you in your seat. In the loop-the-loop upside down design, it's inertia that keeps you in your seat. Inertia is the force that presses your body to the outside of the loop as the train spins around.

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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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14 Fun Facts About Roller Coasters
  • The American roller coaster was invented to save America from Satan. ...
  • One of the earliest coasters in America carried coal before it carried thrill seekers. ...
  • “Russian mountains” predated roller coasters—and Catherine the Great improved them. ...
  • Roller coaster loops are never circular.


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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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The conversion of energy from one form to another (for example from potential to kinetic) is virtually never 100% efficient. That is, some of the energy escapes in other forms.

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