Making a paper airplane mh

Making a Paper Airplane – Application of Number Level 2

Introduction:

The aim of the project is to compare the performance of two paper planes. I will first have to

source information on how to make the planes and then use them to compare flying distances,

speed and the height they reach in flight.

I will then use these comparisons to work out the averages for the planes and compare them to

see which planes performance was best.

Rapier Plane:

I first checked on the internet for websites that could give me instructions and plans on how to

make a paper plane. I found a website

http://www.eej.ulst.ac.uk/~ian/modules/MEC002/files/planes.php.htm which helped me to make

the Rapier plane. I also found instructions on http://www.paperairplanes.co.uk/rapier.php which I

could use to make the same plane. The first website when checked had a link to the same

instructions as the second. I decided that I would make this plane as the sites also had a video to

watch and follow to help when making your plane. The website gives instructions to follow in 5

stages;

1. Use paper sized A4 and fold down the centre

2. Fold the 1st top 1cm over and then again another 5 times

3. Fold corners in diagonally to the centre to about 3/8 of the length down

4. Fold in half and bring down top edges to centre

5. Fold wings down into position

I didn’t think that making a simple aeroplane would be so difficult to do. To show my creation I

have photos of me making my Rapier plane.

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This is the Rapier plane that I made and the process I followed;

1st Stage – Starting the folding 2nd Stage – Folding 6 times

3rd Stage – Creating the body 4th Stage – Creating the wings

Once I made the plane, I then needed to fly it and analyse the distance, time and speed of the flights. I used an empty room to do this as there would be no obstacles which could affect the flights of the planes.

These are the results: The Rapier plane:

Rapier Plane

Throw Height Distance Time Speed1 1.57m 7.9m 2.18sec 3.622 1.57m 6.57m 2.31sec 2.843 1.57m 7.59m 1.95 sec 3.89

Lightning Plane:

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I used this website again http://www.paperairplanes.co.uk/saber2.php to help me to make the

Lightning plane. See below for finished plane.

Once I made the plane, I then again threw the plane as I did with the Rapier to get flying distances

which I will then use for comparison in the conclusion of the project.

These are the results:

Lightning Plane:

Throw Height Distance Time Speed1 1.57m 6.4m 2.26sec 2.842 1.57m 8.1m 2.21sec 3.663 1.57m 11.1m 2.62 sec 4.4

Overall the Lightning Plane was the better design as indicated in the above results.

Calculations:

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These are my hand calculations to find the averages for both planes.

RP LP

Median 7.59m 8.1m

Mean 7.35m 8.53m

Max 7.9m 11.1m

Min 3.8m 5.9m

Range 1.33m 5.2m

Glide Ratio 1:2.5 1:3.5

Aspect Ratio 1:03 1:04

Ave Speed

(Mps) 3.45 3.63

This table shows that overall, all category results were better for the Lightening plane. The glide

ratio was higher. The Lightning Plane shouldn’t have been faster but this maybe because I found it

easier to make than The Rapier Plane which I needed to re-fold to be accurate following the

diagrams on the website Alex Paper Airplanes.

Comparisons:

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The calculations show that the Lightning Plane travels at on average 0.18 mps faster over the distances flown as shown in the average calculations (above).

The aim of the project was to compare the performance of two paper aeroplanes. With the results

shown I could analyse the performance of each plane to determine which plane was better at

flying.

These are the results of the average flight comparison as shown in hand calculations. The range of

data for the flight comparisons however shows that there is a greater difference – 3.87m for the

Lightning’s performance. The mean average calculation also shows that the Lightning planes

performance was 3.54m better.

• The mean averages are calculated by adding up the values then dividing by the number of throws.

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1 2 3012345

3.622.84

3.89

Rapier Plane Speed

Rapier Plane Speed

Number of flights

Speed

1 2 3012345

2.843.66

4.4

Lightning Plane Speed

Lightning Plane Speed

Number of flights

Speed

*Metres per second

Conclusion:

Preparation:

I followed the diagrams on the website ‘Alex Paper Planes’ to make the Rapier Plane and the Lightning Plane.

Flights:

• I carried out the experiment by throwing both of the planes three times and measuring how far they went and how long they took to reach the floor.

Calculations

• To find the speed I used the distance divided by time

• The aspect ratio is the ratio of the width of a shape to its height

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Results:

Throw 1 Throw 2 Throw 30

0.51

1.52

2.53

3.54

4.55

3.62

2.84

3.89

2.84

3.66

4.4

Comparing Performances

Rapier PlaneLightning Plane

Speed

In conclusion to the tests carried out, the results show ‘The Lightning Plane’ is better in every aspect compared to ‘The Rapier Plane’. The Lightning Plane was also very easy to make in comparison to The Rapier Plane.

The aspect ratio of a wing is essentially the ratio of its length to its breadth (chord). A high aspect ratio indicates long, narrow wings, whereas a low aspect ratio indicates short, stubby wings.[1]

Both planes had small aspect ratios, The Lightning Plane had a slightly higher aspect ratio (01:04) than The Rapier Plane (01:03). The results indicate a higher aspect ratio is better for glide

performance and this is reflected in the distance and speed of both planes as represented in the graphs on pages 5 and 6.

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Paper Plane Popularity:

After making the paper planes and reviewing their performance I looked to see whether there was any information on their popularity. I found this information on http://www.paperairplanes.co.uk/best-paper-airplane.php which showed that the Rapier Paper Airplane was number 4 in the top 5 of most popular paper planes to make.

The Best Paper Airplane

User's favourite paper airplanes

Paper Helicopter (16233) 12%

Dragon Paper Airplane (15420) 12%

Trapezium Plane (11112) 8%

Rapier Paper Airplane (8987) 7%

The Worst Paper Airplane (8953) 7%

Sources:

http://www.eej.ulst.ac.uk/~ian/modules/MEC002/files/planes.php.htm

http://www.paperairplanes.co.uk/rapier.php

http://www.paperairplanes.co.uk/saber2.php

http://www.paperairplanes.co.uk/best-paper-airplane.php

http://selair.selkirk.bc.ca/training/aerodynamics/drag.html

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