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Trigonometry
Investigation
ā Right-
Angled
Triangles
-By Rehat K.
Part A: Collecting zip-line
data
3. What are your experiences with thrilling theme park
rides? Or extreme adventure activities
Quite recently my family and I visited Gold Coast, which is known for
being ā the theme park capital of Australia.ā So of course, we had to
travel to some of the best and popular theme parks, such as movie world, dream world, and sea world, where I attempted to go on majority of the thrilling rides. After this experience I learned that my personal take on theme park rides is that I particularly enjoy fast- paced and straight rollercoasters over ones with multiple rotations or a pendulum motion. Furthermore, Iāve realised that some of my favourite rides had a couple factors in common, like freefall tricks, G- force, abrupt drops, along with sharp, tilted turns. Overall, I greatly take pleasure in the sudden surges of adrenaline that take over during the wild sensations of a rollercoaster ride, while also leaving
2. me excited and craving for more. What makes a really good scary ride?
Some of the top scary rides out there mainly increase fear and the sense of danger in its passengers, typically by incorporating unexpected twists or changes in direction, rises in height, fast acceleration, sudden descents, vertical loops, or fast spins. Scary rides feature elements out of the unknown, especially the ones listed above, which are the perfect recipe for an insanely thrilling ride, as they are filled with surprises and simulate terrifying situations. Adding on, certain scary rides also include realistic sound effects, flashy lighting, and even follow a set colour theme that enhances the suspenseful atmosphere. This enjoyable experience pushes your limits and leaves for an unforgettable memory after leaving you guessing at every turn.
1. What are some important design features?
The best and most functional theme park rides include a wide variety of design features, some important examples consist of easy accessibility, safety, sustainability, automatic brake systems, emergency stop buttons, up-to-date technology, comfort for passengers, restraint systems (seatbelts, over-the-shoulder harnesses, lap bars), along with a structured and a well- designed track layout, clearly the list goes on and on. Most of these design features prioritise safety factors, while others focus specifically on the design and appearance of the overall ride. Ultimately, these key elements ensure that riders get to enjoy the thrill and entertainment of the ride, without sacrificing the crucial aspect of their safety and security. Emergency Stop Brake System button Over-the-shoulder Seatbelt harness Lap Bar
Table & Working
Out
Horizontal distance? (š„) 1622m
m
a) Jebel Jais Flight
(UAE)
Horizontal Distance
Working Out
Vertical drop? (š„) Horizontal distance?
m
b) Copper Canyon Zip Rider
(Mexico)
Vertical Drop Working Out
= Sin10Ā° =
x
= š„= Sin10Ā° x 2545.
35 Ā° Zip-line Cable length (hypotenuse) Vertical drop Horizontal distance Angle of depression
a)- Jebel
Jais Flight
(UAE)
2832.88m 1622m 2322.57m 35Ā°
b)- Copper
Canyon Zip
Rider
(Mexico)
2545.1m 441.95m 2506.42 10Ā°
c)- Icy Strait
Point Zip
Rider
(Alaska)
1766.2m 690.11m 1625.8m 23Ā°
d)- Zip 2000
South
(Africa)
2000m 279.8m 1980.33m 8Ā°
My own
design Mist
Rush
(America)
298.38m 15m 298m 3Ā°
j
Angle of Depression
Working Out
= tan
ā 1
1. How might the data help you to compare the different zip-lines?
The data founded through this extensive working out shares crucial dimensions of each popular zip-line, allowing me to compare how certain factors like its length, height and incline can affect other areas such as speed, safety and the overall experience. For instance, putting side by side the similarities and the differences in each of their dimensions will help me understand the benefits and drawbacks of having a shorter or longer proportions in particular parts of the zip-line, which is information that I can use to my advantage and implement in my own design. More specifically, the data surrounding these zip-lines reveals important details like whether a longer or shorter length is required for maximum thrill, if a higher starting point is used for better views, as well as if quicker acceleration can be achieved through adjusting the incline angle. Lastly, this data will also be useful for comparing the different zip-lines to determine which size dimensions are most commonly used for each section of the ride.
2. Does the supplied data seem reasonable? If not, how do you think the company
arrived at this claim?
Itās clear that the data in the table for each of the zip-lines display a wide range of varying numbers, however this is all because each of the rides is designed to provide very different experiences. Therefore, despite the fact that the data through each row differs significantly and may be inconsistent, this doesnāt impact its overall practicality and reasonableness. According
to Backpacker Travel some of the best zip-lines around the world donāt fit into the standard
dimensions for an average ride, and instead push boundaries out the comfort zone, with the longest ziplines ranging between 1500-2800m, at least 300-1600m of a vertical drop for the utmost freefall, paired with an incline angle of 25Ā°-35Ā° for maximum thrill. Now, when the data above is compared to this websiteās dimensions, it seems to be more justified and logical in its own areas. Furthermore, I believe that the companies behind the designs of these extreme zip- lines must have examined and taken into the consideration pre-existing rides, and just enhanced their features to be able to label them as āthe highestā or āthe longestā in the world, making them stand out over the rest as well.
3. Is it possible to claim that one zip-line is better than another? What factors would you
need to consider?
Indeed, it can be easily thought that one zip-line is better than the other over a matter of different reasons, such as its enjoyability, duration, comfortability, safety, accessibility, thrill, and speed. Having said that, it also depends on the riderās opinion of ābetter,ā since everybody has their own way of comparing two things, whether thatās prioritising the experience, smoothness or thrill of the zip-line. Additionally, some rides may excel in aspects like safety and comfortability, ensuring that the rider is secure and ready for a more relaxing descent, while on the other hand, some varying zip-lines may stand out in separate areas such as the intensity and excitement. Ultimately, it all just comes down to what your version of the best zip-line, and more specifically what features appeal to you most. Data Questions Part B- Designing a zip- line
Being tasked with creating my very own zip-lines comes with many of its own requirements, especially because the design has to be practical in itself, while also maintaining the thrill factor of these kind of rides. Given the opportunity to reflect my own personal touch to this zip-line design, makes it even more special, particularly since my idea of the perfect ride, isnāt widely popular. Followingly, for the purpose of this section, I will be developing the MistRush, which combines both speed and scenery, calling for an unforgettable experience. As the name might suggest, MistRush will be a zip-line that soars directly over the majestic Niagara Falls in New York, USA. To elaborate, I was more focused on creating a visually stunning zip-line, that allows you to enjoy gliding through the air at fast speeds while at the same time going through beautiful views. With this thought in mind, the Niagara Falls seemed like the best location, mainly because riders will also be gliding through the misty air and welcoming forest greenery that closely surrounds the waterfall, allowing the experience to become sensory as well, since you feel the environment around you. The standard vertical drop or height of a zipline is determined by calculating that the cable should drop approximately 5% in elevation for every 30 meters of horizontal distance it covers. After plugging in this formula, I have found that the final height of MistRush will be at 15m. The vertical drop of 15m is a very ideal number, maintaining the safety aspect, especially since the ride is situated above quite a risky location, and it also doesnāt require any additional bungee brakes at Now that two dimensions of MistRush have been decided, which is the vertical drop being 15m, and the total horizontal distance of 298m, the other two measurements can be easily worked out after applying both the Pythagoras theorem for the hypotenuse, and certain trigonometry formulas to find out the angle of depression. The calculations pictured below, describe that the hypotenuse of my zip-line design must equal to 298.38m, while the angle of depression is only about 3Ā° in comparison to the others.
is the key factor that determines the enjoyability of the ride, for instance, if the cable is overly slack, this can cause high-speeds of acceleration, while if itās too slack in comparison then the ride will become too slow, most likely resulting in riderās becoming stuck mid-way. A durable material is required to construct the cable of a zip-line and for my own design MistRush I would like to incorporate Stainless Steel, which is both sturdy and safe. Bringing back the fact that MistRush is located in pretty harsh conditions, especially in winter where temperatures can quickly reach as low as -1Ā°, stainless steel will easily resist to that corrosion and will also withstand the heavy tension that comes along on a zip-line. Furthermore, riders are instructed to wear harnesses, which is a safety device that holds up their weight in the air, more so, MistRush will have specially designed harnesses made out of nylon which is a lightweight yet strong material. These harnesses will be connected to a trolley, which has wheels that smoothly run along the zip lineās cable during the entirety of the ride starting from the top platform all the way down to the landing station. Majority of the previous safety concerns have already been addressed and resolved, however there is the existing environmental hazard, all due to the specific location directly above Niagara Falls where the zip-line will be held in high exposure to a risky combination of constant mist and strong winds. This could possibly make the cables more slippery, resulting in a number of accidents, and could even affect the visibility of riders if theyāre travelling through a densely misted area, as well as causing the passengers to sway about during the rides from the winds. All of these highlighted concerns means that more thorough and careful planning is required in the design process of MistRush, and although itās a remarkable idea, these risks will always be present when stationed in the Niagara Falls. ļ· BackPacker Travel. ā16 of the Best Ziplines around the World | Backpacker
Travel.ā Backpacker Travel, 23 Jan. 2023,
backpackertravel.org/wanderlist/best-ziplines-around-the-world/#google_vign
ette.
ļ· Canaan. āHow Do You Slow down and Brake When Ziplining?ā Canaan Zipline
Canopy Tour, 2 Nov. 2019, canaanzipline.com/blog/how-do-you-slow-down-
when-ziplining/.
Bibliography
ļ· ZipLineGear. āThe Beginnerās Guide to Zip Line Slope and Sag.ā ZIPLINEGEAR,
www.ziplinegear.com/blogs/engineering-and-design/the-beginners-guide-to-
zip-line-slope-and-sag.
