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Boomerang: <strong>the</strong> motion <strong>and</strong> <strong>the</strong> distance depend on angles<br />

Wongwanich E., Sindhurattavej N., <strong>and</strong> Luanthapthim A.<br />

Mahidol Wittayanusorn School, Salaya, Phutthamonthon, Nakhon Pathom 73170,<br />

Thail<strong>and</strong>.<br />

Introduction: A boomerang is an aerodynamically shaped object designed to fly<br />

efficiently through <strong>the</strong> air when thrown by h<strong>and</strong>. The term usually refers to an object<br />

made to follow a circular flight path that returns it to <strong>the</strong> thrower (McCarthy, 1961).<br />

Boomerang was created first by Aboriginal Neil in South Australia about 20,000<br />

years ago. They made <strong>the</strong> first breakthrough. Immediately <strong>the</strong>y have invented a<br />

boomerang but it does not reversible, <strong>the</strong>y called it “Kylie” (Kylies). Kylies was used<br />

for hunting.(Thieberger & McGregor, 1994) When throw away a long time. They<br />

were reshaped <strong>and</strong> developed forms until it can return to <strong>the</strong> thrower. In some <strong>the</strong>ory,<br />

tribes using <strong>the</strong>se simulated flight <strong>of</strong> birds. It looks like V-shaped <strong>and</strong> <strong>the</strong> wings <strong>of</strong><br />

birds. Today, it is not only non-Aboriginal Australians who continue to confuse <strong>the</strong><br />

terms. Most people overseas, if <strong>the</strong>y are even aware <strong>of</strong> two different types <strong>of</strong> throwsticks,<br />

speak <strong>of</strong> <strong>the</strong>m all as boomerangs; <strong>and</strong> even most contemporary Aborigines<br />

today use <strong>the</strong> terms ‘returning’ <strong>and</strong> ‘non-returning’ boomerangs when speaking<br />

English. Perhaps it’s so as not to be argumentative; perhaps it’s because <strong>the</strong> confusion<br />

is now so ingrained that insistence on boomerang for returning sticks only is seen as<br />

pedantic(Fraser, 1893). Many people use boomerang to play in sports <strong>and</strong><br />

competition. For example, <strong>the</strong> longest distance <strong>of</strong> boomerang was recorded<br />

in Guinness World Record (David, 2005). The boomerang can fly forward <strong>and</strong> return<br />

(Butz, 1973). We have question how <strong>the</strong> boomerang can return to thrower. Moreover<br />

we want to study motion <strong>of</strong> boomerang whe<strong>the</strong>r <strong>the</strong> movement direction depends on<br />

angles.<br />

1<br />

<strong>SC</strong> <strong>30291</strong> <strong>Scientific</strong> <strong>Inquiry</strong> <strong>and</strong> <strong>the</strong> <strong>Nature</strong> <strong>of</strong> <strong>Science</strong> (<strong>SINOS</strong>) MWITS 20


Materials <strong>and</strong> Methods: First used <strong>the</strong> paper size 29.7 x 10.5 centimeters <strong>and</strong> folded<br />

follow <strong>the</strong> clip named “How to make an origami boomerang” or website<br />

http://www.youtube.com/watch?v=_kprLtErg8U. The boomerang has v-shape. Each<br />

wing <strong>of</strong> <strong>the</strong> boomerange is 15.0 centimeters <strong>and</strong> <strong>the</strong> width <strong>of</strong> each wing is 2.6<br />

centimeters. When we threw <strong>the</strong> boomerang, we would study <strong>the</strong> distance that<br />

depends on <strong>the</strong> angles by setup <strong>the</strong> angles at 30, 45, 60, 90 degrees <strong>and</strong> <strong>the</strong>n we<br />

collected data by repeating 10 times for each angle. Then we would measure along <strong>the</strong><br />

x-axis by measuring <strong>the</strong> distance from <strong>the</strong> point <strong>of</strong> thrower.<br />

Results: After we throw <strong>the</strong> boomerang we collected <strong>the</strong> data <strong>of</strong> <strong>the</strong> distance. <strong>and</strong><br />

measured along <strong>the</strong> x-axis in meters unit.<br />

Table 1 The distance from <strong>the</strong> boomerang’s thrower that measures along x-axis 10<br />

times for each angles.<br />

0° 30° 45° 60° 90°<br />

1 0.06 1.64 2.05 1.98 3.76<br />

2 0.1 1.09 1.87 2.05 3.51<br />

3 0.15 1.12 1.92 2.14 3.76<br />

4 0.11 0.77 1.96 2.32 3.97<br />

5 0.03 0.94 1.88 2.09 3.38<br />

6 0.16 1.22 1.62 2.33 3.48<br />

7 0.12 1.2 1.83 2.15 4.08<br />

8 0.05 1.22 1.7 1.96 3.47<br />

9 0.29 1.67 1.65 2.23 3.6<br />

10 0.12 1 1.65 2.15 3.66<br />

SUM 1.19 11.87 18.13 21.4 36.67<br />

Average 0.119 1.187 1.813 2.14 3.667<br />

2<br />

<strong>SC</strong> <strong>30291</strong> <strong>Scientific</strong> <strong>Inquiry</strong> <strong>and</strong> <strong>the</strong> <strong>Nature</strong> <strong>of</strong> <strong>Science</strong> (<strong>SINOS</strong>) MWITS 20


Table 2 Anova: Single Factor, it shows <strong>the</strong> data <strong>and</strong> statistical analysis <strong>of</strong> data.<br />

Groups Count Sum Average Variance<br />

0 degree 10 1.19 0.119 0.005388<br />

30 degree 10 11.87 1.187 0.080512<br />

45 degree 10 18.13 1.813 0.022268<br />

60 degree 10 21.4 2.14 0.016156<br />

90 degree 10 36.67 3.667 0.051668<br />

Source <strong>of</strong><br />

Variation SS df MS F P-value F crit<br />

Between<br />

Groups 68.01893 4 17.00473 483.1134 2.49E-36 2.578739<br />

Within Groups 1.58392 45 0.035198<br />

Total 69.60285 49<br />

From this data, <strong>the</strong>re are differences significant statically. Then we plotted graph<br />

between distance <strong>and</strong> angle.<br />

Figure 1 The graph show <strong>the</strong> relationship between <strong>the</strong> distances <strong>and</strong> angles.<br />

Conclusion <strong>and</strong> Discussion: From <strong>the</strong> result, if we set <strong>the</strong> size <strong>of</strong> angles to 0 degree,<br />

<strong>the</strong> distance is <strong>the</strong> nearest. If we increase <strong>the</strong> angles, boomerang will fall far<strong>the</strong>r.<br />

When <strong>the</strong> degree <strong>of</strong> angle was increased, <strong>the</strong> orbit <strong>of</strong> boomerang will wider<br />

depends on angle. First we choose Printing paper for floding <strong>the</strong> boomerang <strong>and</strong> <strong>the</strong>n<br />

3<br />

<strong>SC</strong> <strong>30291</strong> <strong>Scientific</strong> <strong>Inquiry</strong> <strong>and</strong> <strong>the</strong> <strong>Nature</strong> <strong>of</strong> <strong>Science</strong> (<strong>SINOS</strong>) MWITS 20


we did <strong>the</strong> experiment, we found that <strong>the</strong> boomerang were fallen <strong>the</strong> floor too fast.<br />

After that we Used card paper instead <strong>of</strong> <strong>the</strong> printing paper for folding <strong>the</strong> boomerang<br />

colour paper to fold boomerang, we found <strong>the</strong> colour-paper boomerang fly in air<br />

longer than A4 paper boomerang We found that <strong>the</strong> card paper boomerangs can hold<br />

on. Forces also effect to <strong>the</strong> distance because when we used more force to throw. The<br />

boomerang will spinned fastly <strong>and</strong> return to thrower quickly.<br />

According to <strong>the</strong> research, factors which effect to <strong>the</strong> distance are:<br />

1. Size <strong>of</strong> angle – If angle increases <strong>the</strong> orbit will wider too <strong>and</strong> boomerang will<br />

fall too slow.<br />

2. Force – If we use more force to throw, <strong>the</strong> boomerang will fall far<strong>the</strong>r.<br />

3. Materials to make boomerang – If materials that make <strong>the</strong> boomerang is hard.<br />

The boomerang<br />

References:<br />

Butz, T. (1973). The motion <strong>and</strong> principle <strong>of</strong> gyroscope. Boomerang throwing: notes<br />

for instructors, 20, 125-137.<br />

David, S. (Reporter). (2005, March 15). The longest throw with <strong>the</strong> boomerang,<br />

Canberra: Australia Murrarie Production.<br />

Fraser, J. (1893). Aborigines <strong>of</strong> New South Wales, Pamphlets issued by <strong>the</strong> NSW<br />

Commissioners for <strong>the</strong> World’s Columbian Exposition, 2, 415-450.<br />

McCarthy, F.D.(1961). The Boomerang. The Australian Museum Magazine,13,<br />

25-34.<br />

Thieberger, N., & McGregor, W. (1994), The origin <strong>of</strong> boomerang & Aborigins.<br />

Macquarie Aboriginal Words, 22, 322-389.<br />

Acknowledgements:<br />

We thank you Ms.Usa Jeenjenkit, Mr.Washirasorn Saengsuwan <strong>and</strong>Ms.Sirimard<br />

Sukpraserd for giving us <strong>the</strong> comments <strong>and</strong> suggestions about <strong>the</strong> experiment <strong>and</strong><br />

writing report.<br />

4<br />

<strong>SC</strong> <strong>30291</strong> <strong>Scientific</strong> <strong>Inquiry</strong> <strong>and</strong> <strong>the</strong> <strong>Nature</strong> <strong>of</strong> <strong>Science</strong> (<strong>SINOS</strong>) MWITS 20

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