Pictures Related to Aerodynamics~

Hello all yet again!

So we are back again but this time, on the contrary, we will be providing you with an array of pictures to widen your visual knowledge about the concepts behind the mystery of aeroplanes! So enjoy!


First up, this picture shows the 4 aerodynamic forces acting on the plane, helping us to get the clearer image of the names 4 different types of forces and the direction where the forces are acting towards. (referring to the below picture)

Secondly, this picture shows the aerodynamic forces acting on the right wing of the plane, which is balanced out by the forces acting on the left wing of the plane, aiding the plane to keep flight, helping us to better understand the forces acting on the plane.

Thereafter, this picture is related to our problem statement regarding the angle of attack of the plane with regards to how it can keep flight. Visually, we were able to gain a clearer understanding of what the angle of attack literally meant and thus were able to continue our research from there.

Next up, this picture depicts the different parts of the aeroplane. Through this were we able to research more in depth the different parts and where these parts were located as we had a rough idea that certain parts were vital in the flight of aircrafts.

Lastly, there are 2 pictures of aeroplanes. Notice how the ends of the wings of the aeroplanes curve upwards at an obtuse angle? This special shape precisely made for aeroplanes have a purpose so that there would be an opposing force against the speed of air while travelling through the air.

Therefore, this concludes our post and I hope you all have been enlightened through these appealing visual images! Stay tuned! :)

Process of Investigation!

Hello all!

Following up on the previous post, our group conducted intense research on this exciting phenomenon of airplanes and we are here once again to tell you our process of investigation. We first did our personal research to investigate the main reason behind the magical wonder of how planes manage to keep flight. We knew that there was this certain force that kept planes in flight but we did not know the exact term of the force.

After research, we discovered that this particular force was known as – Aerodynamic force. 

We were definitely glad we managed to successfully research the exact term of the force, but there were still questions that plagued us. This aerodynamic force, was it just a certain type of force? Or is it an accumulation of forces which in turn keep the plane in flight? What exactly were this forces that caused this special mysterious aerodynamic force?

Basing on these questions after analyzing this term “aerodynamic force” we thus conducted further research and lo and behold, our questions were answered! In actual fact, there were actually four aerodynamic forces – thrust, drag, weight and lift to fly despite its weight. From this, we learnt that it was vital to ask questions. Questions are the basis of gaining new knowledge and only through asking such questions above were we able to know that there were four aerodynamic forces.

With the new information acquired, we delved deeper into these four terms and research on the how these four terms actually managed to keep the aircraft in the air. Through the in depth research on these four terms, we managed to confirm our problem statement. Since these four terms involved the speed of the aeroplane and the air, weight of the aeroplane and the angle of attack, we were able to link these mathematical concepts of the phenomenon of the flight of aircraft. 

However, we asked ourselves more questions. Were these forces purely the reason as to why the aircraft could keep flight? What about the particular shape of the wings of the aeroplanes? Were the shapes for a reason? Analyzing deeper on the other factors which could affect the flight of airplanes, we continued our research deeper on the other aspects regarding the flight of the aircraft.

Truly, we managed to investigate that there were certain factors in aerial navigation such as Stabilizers, Ailerons, Rudders and Elevators. With the additional information, we managed to conclude our investigation process. 

Thus, from this entire investigation process, it taught us to analyze deeper and continuously question. Through questioning we were not able to rid of our doubts but also gain additional knowledge which we have not come across.

Therefore, since we’ve found all the information required, remember to stay tuned as we would be updating and satisfying your queries in the next post!

Problem Statement!

Hello once again!

I’m sure by now, you all must be curious as to how an aeroplane takes flight and the factors affecting the flight of the aeroplanes. Have you ever wondered: What affects the flight of aeroplanes? How do the aeroplanes manage to keep flight? Is there any hidden force supporting the aircrafts? Some of these questions we have pondered about yet somehow aren’t able to obtain a definite answer. Aeroplanes are often the main mode of transport to faraway exotic countries and I’m sure these questions would have plagued us some time or another since majority of the world’spopulation relies on the transport of aeroplanes. 

So now, the answers to your questions would be answered! Since Mathematics and Science are closely interlinked, we applied some concepts of Science, mainly Physics to the phenomenon of aeroplanes flying.

Therefore, our problem statement would be:

How does the speed of the aeroplane and the air, weight of the aeroplane and the angle of attack of the aeroplane affect the flight of the aircraft?

Spend some time analyzing this question! We will be posting the solutions to this problem soon! So remember, stay tuned!

Identifying a Phenomenon

Hello!


Today, we are posting on this website about the subject of our Fundamental Maths Project #2. After much deliberation where we thought of using Penrose tiles, Fibonacci numbers, Trigonometry in Architecture and Engineering, and even Maths in Sports, our group has finally decided on the Mathematical phenomenon that interests us all: Aeroplanes flying.


Now, what is the rationale behind our decision to choose this phenomenon?

In the beginning, our group frantically discussed on real-world phenomenons we could use for this project. As stated above, we went through many various different types of Mathematical phenomenons, but in the end, we decided that our real world phenomenon would be on aeroplanes flying because we wanted to be able to do our Maths project on something that people would actually be interested in.


The other real world phenomenons we thought about were probably things that we would only be able to see in textbooks, and others would probably not find it interesting because the topic was of no direct relevance to them. However, aeroplanes are not only something that most people use in their lifetime, but they are also part of our lives. They are what enables us to travel from one part of the world to another in a matter of hours. They connect us to the rest of the world and enable us to live our dream. With aeroplanes, we can see our friends staying overseas face-to-face. We are able to encounter other people with different cultures, skins, religions and ways of life. Not only can we learn more about how others live, but aeroplanes bring us even closer by enabling us to experience these firsthand. Aeroplanes are used for recreational purposes, business purposes and many others too!


With research done by our group, we found out that in an average day, an estimated 8,886,542 people travel in a commercial airplane. As can be seen, many people use aeroplanes and thus, our group believes that people will be just as curious as we are about how these amazing machines are able to operate and play such a big part in our world today.


Hence, our group decided our real world phenomenon to be aeroplanes flying.


In the next posts, our group will be presenting our problem statement and be explaining the mathematical concepts found in how aeroplanes are able to fly. We will then present a problem relating to another familiar real-world situation and be proposing a solution to this problem.


That's all for now! Thank you! :)

Hello!

Welcome to our group's website!

This website will be detailing the progress and development of our Fundamental Maths Project #2.

Our group consists of:
- Janelle Chao [leader]
- Loh Jin Jun
- Daryl Gan

Please do enjoy our website and we hope you are able to learn from this website as much as us!