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# Physics Rollar Coaster Project

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## Jonathan Torgrimson

on 10 June 2014

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#### Transcript of Physics Rollar Coaster Project

By: Jonathan Torgrimson
Total Mass of The One Train
Average Mass of Each Car: 700 Kg
Number of Cars per Train: 4

700kg x 4 = 2800 Kg per train
The Highest Drop on the Roller Coaster and Potential Energy at the top
The Highest drop on the Roller Coaster was 53 meters.
I calculated the Potential Energy below:
Introduction of the Formula Rossa
The Formula is located in Ferrari World on Yas Island in Abu Dhabi. Attracting visitors from around the world, with the claim to fame being that it is the fastest roller coaster in the world. Constructed on the 4th of November in 2010, the Formula Rossa was built out of Steel tracks.
Total Mass of Riders
Number of Riders in a single roller coaster car: 4

Riders in Total: 16

I made a hypothesis that adults between the ages of 18-29 would be the MAJORITY of the riders on this Roller Coaster. However older individuals still ride this Roller Coaster at times, as seen in the picture example.

Physics Rollar Coaster Project
Theoretical Speed of the Roller Coaster
I calculated what the theoretical speed of the roller coaster would be if the roller coaster was 100% efficient in converting gravitational potential energy into kinetic energy below.
Slower Theoretical Speed
I first converted my 30km/h slower speed into m/s in order to put it into the Kinetic Energy formula.
Total Mass of Rider Cont.
After making an educated guess that 1/3rd of the riders would female and 2/3rd of the riders would be male I researched the average weight of both. The research (pictured left) of the average male is on the left and the female on the right.
Total Mass of Roller Coaster
I finished off by taking the total mass of the one train and the total mass of the riders. I then added them together.

2800 Kg + 1128.4704 Kg = 3928.4704 Kg
Estimated Average Mass of a male rider: 76Kg
Estimated Average Mass of a female rider: 59.9Kg
76Kg x 66.6%(Two Thirds of Riders) = 50.616Kg
59.8Kg x 33.3%(One Third of Riders) = 19.9134Kg

50.616Kg + 19.9134Kg = 70.5294 Kg (Average Mass)

I Then took 16 (Total Riders) and multiplied it by 70.5294Kg (Average Mass) and got 1128.4704 Kg
Converting my answer from m/s to Km/h
Below I converted m/s to km/h for the last answer
Sources:
Listed Below are Seven Sources as requested:

Mitschke G, 2014. Chapter 5 & 6 notes. June 8, 2014.

Halls, Steven, 2000. Last Modified 2008. Men's Weight Chart. Halls. June 8, 2014. http://www.halls.md/chart/men-weight-w.htm

Halls, Steven, 2000. Last Modified 2008. Women's Average Weight Chart and percentile distribution. Halls. June 8, 2014.
http://www.halls.md/chart/women-weight-w.htm

I made the hypothesis that a car was 700kg because when i researched the average weight of a roller coaster car, I found that the original 3 seater weight about 680kg. Knowing that I had a 4 seater, and that my rollar coaster was designed to be going at very fast speeds, I increased this number to 700kg a car.
The authors of Rollercoaster.wikia, 2010. Last Modified January 2014. Formula Rossa. rollercoaster.wikia.com. June 9, 2014. http://rollercoaster.wikia.com/wiki/Formula_Rossa

No Author, 2010. Last Modified 2014. Formula Rossa. ultimaterollercoaster. June 9, 2014.
http://www.ultimaterollercoaster.com/coasters/ferrari-formula-rossa
Figuring out New Kinetic Energy
I then took the new speed and put it into my Kinetic energy formula.
Percent Efficiency
Finally I took my new kinetic energy formula (Useful output energy), and my potential energy (Input) and put them into my Efficiency Formula.
Fun Fact
All Formula Rossa Riders must wear protective goggles! The same ones used for skydiving!!
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