全國中小學科展

2013年

1/2秒的偏移-棒球之變化球軌跡模式的建立

本實驗用了業務用排風扇,並加上整流段,使氣流更加平穩、集中。裝上自製調速器以控制風速,並且改良出微型風速計,以測試棒球上下的氣流流速。棒球部分,則利用家裡面常會用到的圓形保鮮盒,改裝成測試架。此測試架可同時測到水平力、垂直力及阻力,不儘大大地突破過去的測試限制,更可以任意改變旋轉的角度及轉速,以及不同的旋轉軌跡。如此,幾乎所有的變化球都可以模擬出來,也可藉此找出新種的變化球。為了分析打擊時機,我們利用了電腦軟體(威力導演),將打者的打擊影片進行連續的分析,以求得球路判斷點,最後利用電腦做0.01秒為間隔的力量分段分析,使數據更加精確,更有助於棒球軌跡的完整呈現。最後,再透過升力係數、阻力係數和自旋比的關係圖,發現高轉速下與馬格努斯經驗公式相違背的部分。

台灣地區秋颱引起共伴效應之探討

秋颱引發共伴效應時,台灣西北方有高壓產生東北季風,風速因外圍環流和東北季風合流增強,並帶來強烈降水。本研究利用侵臺颱風資料庫,整理西元1958~2010年間曾引發共伴效應的秋颱,發現第五、六、九路徑最易引發共伴效應。此外,由於颱風位置的關係,各個路徑共伴效應颱風對台灣各地造成的降雨量大小不一。取出第五、六、九路徑秋季共伴效應颱風,比較其逐時雨量,發現此三個路徑颱風各在特定位置引發最強共伴效應,颱風中心位置大略為台灣西南方、東北方和東部海面。比較第五、六、九路徑秋季颱風產生共伴效應者和一般颱風對台灣各地造成的雨量、風速,發現在秋季共伴效應發生時,颱風對台灣北部、東部的降雨量影響較大;而第六、九路徑秋季共伴效應颱風只會影響台灣北部的風速,但五號路徑颱風對全台各地的風速皆有影響,且使台灣北部的風向由東南風轉為東北風。

Inverter

PURPOSE: The purpose of making an Inverter which gets charged with the help of sound energy, produced by speakers for instance, and regenerative shock absorbers which are used in cars so that we can easily charge the inverter with the help of sources which we use in daily life. PROCEDURE: The regenerative shock absorbers are capable of generating electricity when a car moves over bumps. It works by hydraulic fluid passing through a turbine. When the fluid passes through turbine, the turbine turns a small generator and more power is created. A piston is disposed for reciprocating motion within a cylinder as a vehicle’s suspension system deflects. Hydraulic fluid passes through a hydraulic motor to turn its shaft. The hydraulic motor shaft is connected to an electric generator to generate electricity. The second source of energy to charge the inverter is by the help of sound produced in day to day life. Some piezoelectric sensors attached to the board as soon there is a tap or any kind of vibration on the board these and convert them to electrical signals. This means that parasitic energy of busy roads, railroads, footpaths and runways near population centers can be converted into electrical energy that can run public lighting, or fed back into the grid. DATA: The data which have been collected with some experiments is that on an average piezoelectric can produce 330W of power. • When sound pressure is around 62 dB, the frequency is of 102 Hz. • Sound pressure is of 65 dB the frequency is of 500 Hz. Another case when the regenerative shock absorbers come in contact with the piston it produces an average power of 340W-350W. CONCLUSION: With the use age of piezoelectric sensors and regenerative shock absorbers we can produce electricity at a very low cost for inverters; these inverters can provide electrical supplies to the house. The most important reason to make such kind of innovation is one because it is money efficient, second this can come in handy for those who can’t afford to buy inverters at a very high cost and then when charging these inverter these people have to use their electrical supply!

Rubik's Cube Solver

Aim: Over the years I became quite quick at solving the cube. I was keen to see if I could create a mechanical system that would do it in a similar time. Because of financial limitations and equipment I thought it impossible to achieve my usual times of around 1 minute and so settled on a target of 10 minutes. So my aim became; “To create a mechanical system that could solve the cube 100% reliably in less than 10 minutes” What I did: I started from the view that I wanted to get it to find a solution using the process that I usually use. The downside of this approach was that this approach meant that most internet research was irrelevant to my project. Also some methods I found were very sophisticated and expensive eg. the university professor who created a system to solve it in 6 seconds. I wrote software capable of solving the cube, printed out its results then testing the instruction steps by manually manipulating the cube. This was improved until 100% reliable. I then developed the user interface to input the colours on each face. The building of the hardware to manipulate the cube proved my most difficult challenge. To get the cube flipped and rotated accurately using the 5 servos. I modeled this using lego and popsicle sticks until the movements met the accuracy and reliability outcomes I needed. Surprisingly these materials held up to the challenge. Integrating the software and hardware functional models took a lot longer than anticipated to get the software instructions executed and coordinated. A great deal of fine tuning was required. Outcome: The system solves the cube 100% of the time. I was exceptionally pleased with this result in view of the lego and popsicle stick model. On reflection I have achieved a successful working model that university students have aspired to and this gives me great satisfaction. Conclusion: While the outcome is pleasing I envisaged achieving a much faster system with easier data input using camera and colour recognition software. Unfortunately time and my budget restrictions prevented this from being developed. However this is a step I am interested in implementing in the future. The speed could be improved by designing more efficient cube solving algorithms, implementing a camera with colour recognition, and possibly rethinking and redesigning my mechanical design. I would also like to Figure 1 illustrates how the air would flow through a fan, and get pushed underground in several short HDPE pipes. This tempered air would then be fed into a small, insulated air chamber built against the home that contains an air-sourced heat pump. The walls of this chamber would have small vents to balance air pressure, and an exit near the top for cooled exhaust air. When the temperature outdoors is in the coldest stage of winter (daily average of -3.0ºC), the tempered air being brought into the chamber would simulate an outdoor ambient temperature of about 10.0ºC, allowing a heat pump to operate with a COP of ~3.79 (based on data from Goodman Air Conditioning and Heating).² This means that for every unit of energy put into the heat pump, 3.79 units of energy are extracted. 4. Conclusions: In building an enclosed air chamber for around an air-sourced heat pump, it was found that it is possible to simulate a 10.0ºC climate in the coldest parts of winter through air tempering. This will allow the heat pump to run substantially more efficiently throughout the year. This system could be used effectively to heat a home in the winter, as well as cool a home in the summer.

NICE數-正方形與正立方體的切割

源自於Thinking Mathematically這本書的一道題目, 關於正方形的切割問題:將一個正方形切成不重疊的正方形, 所得的個數就可被稱作NICE(好的), 問有哪些數是NICE數? 在平面的正方形切割的問題, 透過分割技巧, 我們得出了重要的結果:除了2、3、5以外的自然數都是NICE數, 並推導出:若k為NICE數, m為自然數, 則k+3m為NICE數。我們將問題推廣至立方體:將一個正方體切成不重疊的正方體, 所得的個數就可被稱作very NICE(非常好的), 問有哪些數是very NICE數?我們也得出重要的結果:大於47的自然數皆為very NICE數, 並推導出:若 是very NICE數, 且m是自然數, 則k+7m為very NICE數。

量子點敏化太陽能電池中光電極應用於水裂解之產氫

本研究將探討所合成的金屬硫化物製備於量子點敏化太陽能電池之光電極,並應用於水裂解反應,使之產生氫氣作為新型替代能源。以硝酸鋅、硝酸鎘、氧化硒及硫化鈉作為起始物,利用化學浸泡法(Chemical Bath Deposition, CBD) 於氧化錫參雜氟之導電玻璃(fluorine-doped tin oxide, FTO)表面上,製備不同層數量子點硫化物之光電極。當CBD循環層數為1、5及7時,運用紫外光-可見光吸收光譜儀與掃描式電子顯微鏡分別可觀察到光譜變化,與球狀、團簇狀,以及緞帶狀奈米材料之結構。另外以線性掃瞄伏安法測量光電流,在一個太陽光強度(100 mW cm-2)照射下,當電壓為1.3 V (vs. Hg/Hg2Cl2) 時, TiO2/(CdZnS)4/(CdZnSe)2/ZnS光電極之光電流可達 79.24 mA,可證明經CBD循環製成之量子點電極具有高電催化活性。此外將沉積不同量子點的光電極與硫化鈷反電極結合後製成不同的太陽能電池,在一個太陽光強度照射下測量其光電轉化效率,當使用的光電極為 TiO2/(CdZnS)4/(CdZnSe)2/ZnS 時,可得最大轉化效率η為 2.40 %。更進一步,以此光電極在定電壓下進行水裂解反應,由自製的氫氣收集器收集氫氣,可得其與白金對電極產氫率為 0.98 mmol/hr,以此可確定最佳化的光電極。

聚丙烯酸應用於Fenton淨水法

利用鐵離子(Fe3+)催化過氧化氫(H2O2)產生高活性自由基,並利用自由基降解汙染物的方法稱為Fenton法,然而傳統Fenton法中的鐵離子為液相催化劑,會隨降解後的汙水排放,環保署公告的廢水放流標準規定鐵離子濃度必須小於10 ppm ,為了符合標準,廢水必須加入凝集劑排除鐵離子,造成大量氫氧化鐵汙泥,造成氫氧化鐵汙泥的二度公害,且不符合綠色化學中充分利用原料及將耗損降低的主張。因上述缺點,本研究將傳統Fenton法中的液相催化劑,改利用聚丙烯酸(PPA)錯合鐵離子形成的固相催化劑,改善鐵離子會隨降解後汙水排放的缺點。實驗發現固相的鐵離子催化劑降解速率較液相鐵離子催化劑慢,但在降解後的汙水中,固相催化劑降解的汙水驗出微量鐵離子,較傳統Fenton法鐵離子會隨降解後汙水排放的現象,減少大量鐵離子耗損。

有趣的切披薩問題

本次科展我們所探討的,是關於圓的分割問題,討論披薩被切出來的面積和及切痕的長度和等相關問題。 我們提出並且用較初等的數學方法證明了幾個與圓的分割有關的問題,包括披薩定理以及另外七個定理。 最後我們也利用GSP軟體驗證定理二、三、四分給2人時的對偶結果和定理二分給3人以上時的其他結果,並對於一般情形的推廣,作合理的猜測。

具備節能協定之智慧型開關裝置的設計與研究

本研究參考智慧型3C產品之節能協定,將其應用於電源開關裝置上,此開關裝置將具備工作模式、待機模式及睡眠模式,利用此三種模式並結合即時輪詢的技術,發展出適合智慧型節能開關裝置的節能協定,達到全自動且節能的目標。此智慧型節能開關裝置主要包括固態開關電路、電流感測電路、RC濾波器電路以及控制電路,本研究針對上述幾種主要電路進行電路的研究及實作,並建立模擬的電路模型,根據此模型設計出完整的智慧型節能開關裝置,進行其節能效率及未來大量應用的可行性分析。經過實作證明,此種具備節能協定的智慧型節能開關的確能有效地省下家電待機耗電,與市面上不具備節能協定的開關相比,有更高的使用便利性。

可旋式雙鏡頭立體相機之設計與效果分析

由現有立體相機與人眼之差異發想,本研究架設模擬可調參數之雙相機系統,拍攝兩眼影像,並在偏光式立體顯示系統平台中,定義立體影像品質,如:合成難易、凸出程度、變形程度,並讓受測者評估,以俾找出立體影像品質影響因素。研究發現:透過視線三角形模型推算拍攝立體影像時,最佳鏡頭間距約為6公分,並得以預測與控制立體影像凸出螢幕之距離。我們得到最佳鏡頭間距與影像顯示距離,也發現可旋式鏡頭對變形的影響,並藉由人因工程的研究方法,利用受測實驗得到的結果與參數,建立了一個具有可旋式鏡頭的立體相機雛型,期許未來可將可旋式鏡頭之設計積體化,進而製成一具有最佳立體影像品質的實體相機。