How Do Gravity and Acceleration Interact on a Roller Coaster?

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SUMMARY

The interaction of gravity and acceleration on roller coasters is defined by the conversion of potential energy into kinetic energy as the coaster descends. Gravity exerts a downward acceleration of 9.81 m/s², while passengers experience weightlessness during free fall due to the absence of normal force. Acceleration can exceed gravitational force, particularly during sharp turns and loops, where total acceleration can reach up to 5 g's at the bottom of dips or curves. Understanding these dynamics is crucial for analyzing roller coaster design and passenger experience.

PREREQUISITES
  • Understanding of gravitational force and acceleration (9.81 m/s²)
  • Basic principles of potential and kinetic energy conversion
  • Knowledge of g-forces and their effects on the human body
  • Familiarity with roller coaster physics and dynamics
NEXT STEPS
  • Research the principles of energy conservation in roller coaster design
  • Learn about the effects of g-forces on passengers during roller coaster rides
  • Explore the physics of free fall and its applications in amusement park rides
  • Investigate the design and engineering of roller coaster loops and turns
USEFUL FOR

Physics students, roller coaster designers, amusement park engineers, and anyone interested in the mechanics of thrill rides.

n3w ton
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I got a question:

If a roller coaster is going up the hill (potential energy) then when it goes down it gets converted into kinetic energy by gravity right?

Also As you go down the first big drop of the roller coaster (gravity going downwards 9.81 m/s2) how does acceleration come in play?

I know when you go down a roller coaster at a certain point : gravity and acceleration balances each-other out giving the effect of 'weightlessness' but where does the acceleration come from?

Also can acceleration [Upwards] exceed the value of gravity[downwards] on a roller coaster?

My attempt: I think the acceleration comes from the downward effects of gravity as the roller coaster cart travels down the first big drop,,,, then gravity at -9.81m/s2[Down] and the acceleration of +9.81m/s2[Up] balance at a certain point giving the effect of weightlessness.


THANK YOU VERY MUCH!
 
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Woah there, gravity = acceleration.

You feel weightless because you are in free fall during the decent, there is no normal force. Nothing to do with "acceleration balancing" - you can't accelerate upwards and downwards at the same time.

Acceleration upwards, sideways and downwards can certainly be greater than gravity, particularly during sharp turns and loops.
 
To get into "free fall" the roller coaster picks up some amount of horizontal velocity, then follows a parabolic like path that keeps it in free fall for a brief period. At the bottom, passengers will typically experience 1.5g or more of acceleration plus the 1g from gravity for a total of 2.5 g's or more. Some roller coaster get up to about 5 g's total acceleration at the bottom of dips or curves.
 

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