測試空氣阻力對不同形狀物體的影響(學生工作紙)Testing the effect of air resistance on objects with different shapes (Student's Worksheets)

STEM連繫 11.2STEM connection 11.2測試空氣阻力對不同形狀物體的影響Testing the effect of air resistance on objects with different shapes
學習技能:Learning skill: 立體打印3d printing
學習範圍:Learning areas: 0
  • 空氣阻力的基本概念
  • 空氣阻力對不同形狀物體的影響
  • Basic principle of air resistance
  • The effect of air resistance on objects with different shapes
0
  • 利用3D打印機製作不同形狀的物體
  • 透過應用程式繪畫距離—時間關係線圖
  • Use a 3D printer to make objects with different shapes
  • Use an app to plot distance-time graphs
0
  • 設計和進行一個公平測試,以測試空氣阻力對不同形狀物體的影響
  • Design a fair test to test the effect of air resistance on objects with different shapes
0
  • 質量和時間的量度
  • 分析線圖
  • Measure mass and time
  • Interpret graphs

任務Task

利用3D打印製作不同形狀的物冊,然後進行一個公平測試,以測試作用在它們的空氣阻力。

Use 3D printing to make objects with different shapes and design a fair test to test the effect of air resistance on them.


背景知識 Background knowledge:
影響作用在物體上的空氣阻力的因素:Factors that affect the air resistance acting on an object:
1.
空氣密度 (ρ)。空氣密度的典型值約為1.2 kg/m3
1.
The density of air (ρ). The typical value of the density of air is about 1.2 kg/m3.
2.
物體的橫切面面積 (A)。例如球體的橫切面面積等於πr2
2.
The cross-sectional area of the object (A). For example, the cross-sectional area of a sphere is equal to πr2.
3.
阻力系數 (C) 取決於物體的形狀。下圖顯示不同形狀的阻力系數。
3.
The drag coefficient (C) which depends on the shape of the object. The common drag coefficients of different shapes are shown below.

4.
物體的速率。物體的速率愈高,空氣阻力愈大。
4.
The speed of the object. The higher the speed of the object, the greater the air resistance.

第一部分利用3D打印機製作不同形狀的物體Part A—Use a 3D printer to make objects with different shapes

如果學校有3D打印機,你可以在我們的網站下載可供3D打印的模型。如果你會使用3D製圖軟件(例如Blender),更可以設計和製作自己的3D打印模型。

If 3D printers are available at your school, you can download free 3D printing models from our website and print them out. If you are familiar with 3D graphic tools (e.g.Blender), you can also design your own 3D-printed models.


第二部分設計和進行一個公平測試,以測試空氣阻力對不同形狀物體的影響Part B—Design and perform a fair test
1.
公平測試的哪些變數應保持不變?
2.
試簡單寫出公平測試的步驟,可以繪圖輔助。
3.
進行公平測試。
4.
記錄結果。哪個形狀的物體最先到達地面?哪種3D打印物體最能減少空氣阻力?結果是否與之前提到的阻力系數相似?
1.
Which variables should you keep constant in the fair test?
2.
Briefly write down the procedure of your fair test with the aid of a diagram.
3.
Perform the fair test.
4.
Record the results. Which object reaches the ground first? Which 3D printed object can reduce the most air resistance acting on it? Do the results match with the drag coefficients mentioned before?

第三部分評價和改良Part C—Evaluate and redesign
1.
在課堂上展示3D打印物體,並展示公平測試結果。
2.
讓老師根據以下標準評價你的3D打印物體和公平測試﹕
5
優異
4
良好
3
普通
2
尚可
1
差劣
(a) 3D打印技巧
(b) 進行測試的物體是否足夠?
(c) 這是否一項公平測試?
(d) 結果是否準確?
3.
討論後,試改良設計和公平測試。你需在課堂後提交學生工作紙
1.
Display your 3D printed objects and present the results of the fair test.
2.
Ask your teacher to evaluate your 3D printed objects using the following Grading Rubric:
5
excellent
4
good
3
average
2
satisfactory
1
poor
(a) Skills in using 3D printing
(b) Are there enough objects for the test?
(c) Is the test fair?
(d) Are the results accurate?
3.
Modify your designs and fair test after the discussion. You need to submit Student’s Worksheets to your teacher after the lesson.

附加資源Further resources

利用應用程序繪製掉落物體的距離—時間關係線圖:

Using app to plot the distance-time graphs of the falling objects:

利用超聲波感應器量度時間:

Use an ultrasonic sensor to measure the falling time:

沒有使用權限No access right

你的學校未有使用本系列資源之權限。

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球體Sphere
此樣本模型使用Up mini 2打印而成This sample model is printed by Up mini 2
下載模型(供桌面/筆記型電腦使用)Download model for desktop/laptop computers
建議打印設定:Suggested printing setting:
層片厚度Layer Thickness 0.25mm0.25mm
填充InFill 0
質素Quality 一般Normal
密封表面Surface 2層2 layers
支撑Support 有支撐With support
密封層Dense 2層2 layers
角度Angle 30 Deg30 Deg
面積Area 10 mm210 mm2
間距Space 12 lines12 lines
基底Raft 有基底With raft
Terms and conditions:

This work, ‘Sphere’, is licensed under Creative Commons - Attribution - Share Alike license by Aristo Educational Press Ltd.

半球體Half-sphere
此樣本模型使用Up mini 2打印而成This sample model is printed by Up mini 2
下載模型(供桌面/筆記型電腦使用)Download model for desktop/laptop computers
建議打印設定:Suggested printing setting:
層片厚度Layer Thickness 0.25mm0.25mm
填充InFill 0
質素Quality 一般Normal
密封表面Surface 2層2 layers
支撑Support 有支撐With support
密封層Dense 2層2 layers
角度Angle 30 Deg30 Deg
面積Area 10 mm210 mm2
間距Space 12 lines12 lines
基底Raft 有基底With raft
Terms and conditions:

This work, ‘Half-sphere’, is licensed under Creative Commons - Attribution - Share Alike license by Aristo Educational Press Ltd.

立方體Cube
此樣本模型使用Up mini 2打印而成This sample model is printed by Up mini 2
下載模型(供桌面/筆記型電腦使用)Download model for desktop/laptop computers
建議打印設定:Suggested printing setting:
層片厚度Layer Thickness 0.25mm0.25mm
填充InFill 0
質素Quality 一般Normal
密封表面Surface 2層2 layers
支撑Support 沒有支撐No support
基底Raft 沒有基底No raft
Terms and conditions:

This work, ‘Cube’, is licensed under Creative Commons - Attribution - Share Alike license by Aristo Educational Press Ltd.

錐體Cone
此樣本模型使用Up mini 2打印而成This sample model is printed by Up mini 2
下載模型(供桌面/筆記型電腦使用)Download model for desktop/laptop computers
建議打印設定:Suggested printing setting:
層片厚度Layer Thickness 0.25mm0.25mm
填充InFill 0
質素Quality 一般Normal
密封表面Surface 2層2 layers
支撑Support 沒有支撐No support
基底Raft 沒有基底No raft
Terms and conditions:

This work, ‘Cone’, is licensed under Creative Commons - Attribution - Share Alike license by Aristo Educational Press Ltd.

流線形物體Streamlined shape
此樣本模型使用Up mini 2打印而成This sample model is printed by Up mini 2
下載模型(供桌面/筆記型電腦使用)Download model for desktop/laptop computers
建議打印設定:Suggested printing setting:
層片厚度Layer Thickness 0.25mm0.25mm
填充InFill 0
質素Quality 一般Normal
密封表面Surface 2層2 layers
支撑Support 有支撐With support
密封層Dense 2層2 layers
角度Angle 30 Deg30 Deg
面積Area 10 mm210 mm2
間距Space 12 lines12 lines
基底Raft 有基底With raft
Terms and conditions:

This work, ‘Streamlined shape’, is licensed under Creative Commons - Attribution - Share Alike license by Aristo Educational Press Ltd.

沒有使用權限No access right

你的學校未有使用本系列資源之權限。

Your school does not have the access right to open the resources of this series.