Stage 1
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Stage 2
Stage 3
Monday, February 9, 2015
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Sunday, February 8, 2015
Grand Opening
Final Graphing Design
Final Poster Design
Critical Points
|
Height (m)
|
Velocity (m/s)
|
Radius (m)
|
G’s
|
A
|
200
|
0
|
0
|
0
|
B
|
198
|
6.26
|
0.6
|
2.5
|
C
|
160
|
28
|
22
|
3.75
|
D
|
155
|
29.69
|
0
|
0.5
|
E
|
155
|
29.69
|
20
|
4.5
|
F
|
175
|
22.14
|
20
|
2.6
|
G
|
195
|
9.9
|
20
|
0.85
|
H
|
150
|
31.31
|
30
|
3.66
|
I
|
105
|
43.15
|
40
|
4.81
|
J
|
95
|
45.37
|
35
|
0.21
|
Table of Critical Points
We decided to begin the design of the roller coaster at 200 meters so that we could continually go downward and have the roller coaster speed up. Because of this we encountered trouble finding points with proper radii. Because we were ignoring friction, the loops had to gradually get larger as we descended in order to not harm the riders. That is why our loops and curves get larger and larger as the roller coaster got closer to the ground. Our last loop ended up having an incredible radius of 75 meters in order to be under the max limit of G's.
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Day 3
Preliminary Spreadsheet
Final Spreadsheet
Today, we finished the Excel spreadsheet and pasted our data into the blog. Overall, our forces remained under 5 g's and the heights, distances, and velocities are sufficient enough to keep our riders safe.
Day 2
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Preliminary Poster Design
Today, we finished the final graphing design and poster board design of the rollercoaster. Although the drawing is a sketch, the points are accurate and the loops exert the right amount of g's (under 5 g's) for our riders.
Wednesday, February 4, 2015
Day 1
Preliminary calculations and critical points
Today, we started to graph the critical points on the small sheets of graph paper. During this process, we stumbled upon force exceeding 5 g's, which would kill our riders. In order to avoid this problem, we changed the sizes of our loops and managed to stay under 5 g's.
Circular Loops vs. Clothoid Loops
Circular loop - a loop with constant value for the radius and an area of constant speed where the acceleration can be described as being centripetal, or towards the center of the circle
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