纸飞机型状、体积和质量以及风等对飞行效果影响的研究 - 图文

纸飞机型状、体积和质量以及风等对飞行效果影响的研究

Influence of the Structure, Volume and Mass of the Paper Airplane and the Wind

on Flying Effect

温州育英学校八（1）罗家文、黄文伟、胡益峰、瞿颖、江辰颖，指导：朱小平

By Jiawen Luo,Wenwei Huang,Yifeng Hu,Ying Qu,Chenying Jiang,Class 1,Grade 8,Wenzhou Yuying School

一、

研究的缘起Why to Research

纸飞机陪伴了一代又一代的童年，但随着网络的普及，愈来愈多的人抱着手机、平板或坐在电脑前玩游戏，却使纸飞机渐渐消失。现在有一些纸飞机的比赛唤起了我们对于纸飞机的研究兴趣。我们研究纸飞机一是想让更多的人放下手机、电脑、平板等，二是想通过这个研究对纸飞机有进一步了解，并做出一架飞得远的纸飞机，一架飞得久的纸飞机，说不定下一次可以参加一个关于纸飞机的比赛呢！

Paper airplane accompanies the generation after generation of childhood, but along with the network popularization, more and more people are holding a mobile phone, tablet computerto play games, which makes paper airplanes fade away. There are some paper airplane games aroused our research interest for paper airplanes. In order to let more people to lay down their cell phone, tabletcomputer, etc., and to understand more about the paper plane, and to make a paper airplane fly farther or fly for a longer time, we begin to the research of paper airplane. Maybe next time we can take part in a game on the paper planes!

二、 研究方案Research Plan （一） 活动目的Research Purpose

了解纸飞机的飞行效果的影响因素并以此做出令我们满意的纸飞机。

Find out the factors influencing the flight effect of a paper airplane, and make a paper airplane to our satisfaction.

（二） 活动方式Working Ways

通过查阅相关资料进行文献研究，而后再运用控制变量法进行实验探究。

Consulting relevant literature, doexperimental exploring by using the method of controlling variables

（三） 分工与协作Labor Division and Cooperation

1、由黄文伟进行查阅资料并且从中选出重要的与我们分享，然后所有人一起根据资料制定实验方案。

(1) Look up and chooseimportantdata by Wen-wei Huang to share with us, then all the people make an experiment schemetogether.

2、由胡益峰和瞿颖共同准备实验器材，制定研究的细节。

(2) Experimental equipment is prepared by the Yi-feng Hu and Ying Qu, and then they

1

set up the details of the study.

3、由江辰颖负责拍照。

(3)Chen-ying Jiangshall be responsible for taking photos.

4、由罗家文进行实验探究并将成果汇总并制成研究报告。

(4) Jia-wen Luo do the experimental investigation and make a research summary and finish the research report.

（四） 预期的困难及其对策Expected Difficulties and its Countermeasures

可能计时，量距离会有误差，于是多人配合并且多次实验取平均值。

The timeamount and distance will have error, so many people should cooperateand do an experiment many times for the average.

（五） 实验数据的收集格式（见表1-1或以下表1-2）Experimental Data Collection Format (See table 1-1 or the following table 1-2)

时间平距离平飞行状态 实验对象 实验次数 飞行时间 飞行距离 均值 均值 1 A-1 2 3 1 A-2 2 3 ???? ?? ?? ?? ?? ? ? 表1-1Table 1-1 （六） 器材准备Equipment Preparation

完整平整的基本相同纸N张、秒表、米尺等（见下图）。

Prepare N pieces of the basic same paper, stopwatch, meter scale, etc. (See the picture below).

2

（七） 实验探究方案Experiment Exploration Plan 1. 假设The hypothesis

纸飞机的飞行效果可能与飞机头的形状（平的或尖的）有关。

Paper airplane flight effect may be related to the shape of the aircraft head (flat or sharp).

纸飞机的飞行效果可能与质量、大小、机翼的形状有关。

Paper airplane flight effect may be related to the mass, size and wing shape.

纸飞机的飞行效果可能与有无尾翼有关。

Paper airplane flight effect may be related to the presence of tail wing.

2. 变量分析与控制Variables Analysis and Control

需改变的量分析（括号内为需要改变某个变量的方法）：Analysis for the quantity needing to change(The methods for controllingsome variableare shown in brackets):

飞机头的形状平或尖（通过制作纸飞机过程中小小的改动进行改变机头形状），机翼的形状，重量，大小等（通过采用两种不同的基本机翼折法等方式进行改变）、有无尾翼侧翼（自己进行添加）??

The flat or sharpheadof the plane shape (by making small changes in the process of making paper airplane to realize the nose shapechange), the mass, size, the shape of the wing(by using two kinds of different basic change for twisting wing), added with and without tail wing(by adding or taking off the tail wing)...

不需要改变的量分析：Analysis for the quantity not needing to change:

纸飞机出手时握住的地方（即重心）保持不变，可在重心位置做一个记号，纸飞机的抛出角度（尽量保持不变，始终让一个人抛射飞机）、纸飞机出手时收到的力（让同一个人放飞并尽量保持力不变）??

The place for one to hold a paper airplane(i.e., the center of gravity) when when it gets off his/her hand should be unchanged remain unchanged by making a mark in the position ofgravitycenter, the paper planes angle with the horizontal plane when it is thrown out(as far as possible remain the same, always let the same person throw the aircraft), the receivedforce which the paper airplane(the same person throw the aircraftand try best to keep the force constant) ...

3. 实验步骤：The experiment steps:

（1） 由一个人负责一种类型的纸飞机，并将这种纸飞机的各种变化形态均折出来,并标号：A-1、A-2、A-3、A-4、A-5??一种飞机折大概有5种形态。

(1) One person is in charge of a kind of the paper airplane, and all the various alternate forms of this kind are folded out and labeled: A - 1, A -2, A -3, A - 4, A-5... One kind has about five forms.

（2） 一起到空旷的广场上面进行放飞纸飞机，一人负责放飞，一人负责测量距离，一人负责计时??

(2) All the persons get to an empty square to fly paper airplanes, one person is

3

responsible for releasing plane, one person is responsible for measuring distance, and one person is responsible for timing...

（3） 将测量到的记录到上表1-1的表格之中，共同讨论并推断出实验结论。

(3) Fill the measured records into the table1-1, and discuss to deduce the experiment conclusion.

三、 第一次研究过程The research process for the first time 我们小组于2月10日上午往胡益峰家进行折纸飞机，于下午（微风）由罗家文，胡益峰，黄文伟三人去空旷的地方进行实验，其中罗家文负责飞纸飞机(见下图)，黄文伟负责测量飞行时间，胡益峰负责测量飞行距离，胡益峰记录。大家一起讨论处理实验数据。

Our group went to Yi Feng Hu’s homeon the morning of February 10 for the aircraft origami. In the afternoon there was breeze browing, Jia-wenLuo, Yi-fengHu,Wen-wei Huangwe three got to an empty square to do experiment, in which Jia-wenLuo was responsible for flying paper plane (see the photo below), Wen-wei Huang was responsible for measuring the flying time and Yi-feng Hu for measuring the flying distance, and Yi-feng Hu record. We discussed together the treatment of experimental data.

罗家文同学在飞纸飞机Jia-wenLuo is flying the paper plane

我们制作了三组飞机，每一组我们都想方设法折出了4-6种稍微不同的形状或结构的纸飞机。

We produced three sets of planes, each of which we were trying to make the 4-6 slightly different shapes or structures of the kind A, B, C(See Table2-1):

4

A组Kind A：

B组Kind B：

C组Kind C：

5

组别 A A-1 B B-1 C C-1 1 A-2B-2 C-2 2

6

A-3B-3 C-3 3 A-4B-4 C-4 4 A-5 C-5 5 空 C-6 6 空 空 表2-1Table2-1

7

（一） 实验数据收集（见表1-2）与处理Experimental data collection (see Table 1-2) and processing

飞行时间 （秒） 2.71 2.50 3.14 3.97 4.12 3.84 3.24 3.10 3.35 5.87 6.24 6.02 6.04 6.31 5.97 3.74 4.03 3.95 4.75 5.31 4.85 3.87 3.68 4.21 6.05 5.92 6.15 6.04 3.92 4.97 3.90 6.10 6.04 3.23 3.98 2.78 时间平均值 （秒） 飞行距离 出发点到降落点的直线距离（米） 实验对象 实验次数 距离平均值 （米） 飞行状态 A-1 A-2 A-3 A-4 A-5 B-1 B-2 B-3 B-4

1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 7.4 7.6 7.6 4.3 4.1 3.4 8.6 8.4 8.6 4.6 3.1 4.8 9.0 9.2 8.8 4.1 3.2 3.4 5.1 5.4 5.0 4.0 4.2 4.5 2.9 3.2 3.1 3.1 4.2 5.2 3.6 9.0 4.3 8.5 3.9 7.5 呈直线较快飞行 不规则缓慢飞行 呈直线较快飞行 绕出发点不规则旋转，缓慢飞行 呈直线较慢飞行 不规则缓慢飞行 不规则但总体向前缓慢飞行 呈近似直线向前较快飞行 绕出发点不规则近似旋转，缓慢飞行 8

1 2.84 3.07 2.95 3.64 4.23 3.76 3.24 2.96 3.16 3.42 3.33 3.59 2.67 3.02 3.05 3.25 2.99 3.08 3.10 2.91 3.45 3.12 3.88 2.95 8.7 9.3 9.0 5.7 6.2 6.0 9.4 9.0 9.1 8.5 8.3 8.6 8.6 9.0 9.2 9.3 8.7 9.1 9.0 8.9 8.5 9.2 6.0 9.0 C-1 C-2 C-3 C-4 C-5 C-6 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 呈直线向前快速飞行 不规则但总体向前较快飞行 呈直线向前快速稳定飞行 呈近直线向前不稳定较快飞行 呈直线向前快速飞行 呈直线向前快速稳定飞行 表1-2 Table 1-2（飞机标号来自表1-1，Plane mark numbers come from Table 1-1）

通过对以上资料的分析我们发现在风阻比较小的情况下机头的形状似乎并不是那么的重要，只要机头的质量相对机尾略重一些就可以取得不错的飞行效果。

Through analysis of the above datas we found that as long as the wind is relatively smallthe shape of the plane head seems so unimportant, if only the mass of the head is slightly heavier than its tail, goodflight effectcan be obtained.

采用A组和B组折法的飞机往往不是成直线飞行，且易受凤的影响，却飞得直线距离不远，通过仔细思索我们认为应该是因为这种飞机机翼一般都会大而薄，这种类型的飞机往往飞得很久。而采用前C组折法的飞机往往飞行成直线飞行，且受风影响较小，这类飞机往往飞的不久，通过思索我们认为应该是因为这类飞机机翼往往较厚而相对细小，所以收到阻力较小，却飞得直线距离明显很远。

Planes made by using the folding ways of Kind A and Kind B are usually not to fly in a

9

straight line, and vulnerable to the wind, does not flies far enough in a straight line, by careful thinking we think it is because the aircraft wings are usually larger and thinner, but can often fly for a long enough time. While planes made by using the folding ways of Kind C are usually fly in a straight line, and less affected by the wind, by thinking we think it is because of this kind of aircraft wing tends to berelatively smaller and thicker, and received less resistance, and flies far away whith a straight line distance.

侧翼、尾翼对于A、B、C三组中机翼与机头成非三角形的飞机（即使用前图二的折法）作用似乎并不大，只是是其转弯弧度似乎变大，而对于机翼与机头成三角形或近三角形的飞机（即使用前图一的折法的飞机）却使飞机飞得似乎更加的稳定，从而获得更远的飞行距离。因此，我们取得了以下成果。

Flank and tail for a, B, C three groups in the wings and head into non triangular plane (i.e., the use of Figure 2 fold) the effect does not seem large, but its turning radian seems to be changing, and for wing and nose into a triangle or triangle plane (that is, the use of figure of a folded plane) but the aircraft fly seems to be more stable, thus obtaining longer flight distance. Therefore, we have made the following achievements.

（二）初尝甜头Begun to taste the sweetness

1.我们所做的飞得直线距离最远的纸飞机（见下图）：Paper aircrafts we did fly straight away with the farthest distant (see the piture below):

飞行距离：可达15米左右(滞空时间：4秒左右)。

Flight distance: up to 15 meters (Hanging Time: 4 seconds).

2.我们所做的滞空时间最久的纸飞

机（见下图）：Paper aircrafts we did fly with the longest hanging time (see the piture below):

滞空时间：将近10秒左右（飞行距离：大约4米左右）。

10

maximum height and changing into a good gliding state, you must control the throwing angle at 10 degrees upward with the horizontal plane.

（五）二次研究的数据收集与处理

我们共同做出了3大组共12架纸飞机，并于3月5日（北风微风）、3月9日（北风4-5级）并且对它们进行了试飞并记录。

we made 3 groups with 12 pieces of the paper aircraf in all, and in March 5th with the north gentle breezeand in March 9th with the north wind of the 4th-5th grade, we tried for flying them and made records.

1组是以飞得最远原型机为基础做的四架飞机：

Thefour planes of the 1st group weremade on the basis of the prototype (Type 1) which fliedthe fartherest:

Type 1 airplane

2组是以滞空最久原型机为基础做的四架飞机：

Thefour planes of the2nd group weremade on the basis of the prototype (Type 2) which fliedwith the longest hanging time:

16

Type 2 airplane

3组是以飞得距离和时间都比较突出的原型机为基础所做的四架飞机：

Thefour planes of the3rd group weremade on the basis of the prototype (Type 3) which fliedwith both farther distance and longer hanging time:

Type 3 airplane

记录的数据详情见以下表b-1,b-2,??b-6中（包括12架纸飞机标号）。

The detailed datas recorded see the following table B-2, B-1,.B-6 (including 12 aircraft labels).

实验对试验次滞空时平均值飞行直平均值飞行状态

17

象 数

间 （精确到一位小数） 4.5秒

（精确到一位小数）

线距离

（精确到一位小数）

1-1 原型机

1 2 1 2 1 2 1 2

16.3米

4.2秒

15.7米

15.2米 8.3米

6.1秒

8.5米

8.7米 16.8米

3.4秒

16.6米

16.3米 15.8米

5.0秒

16.0米

16.2米

表 b-1

3.9秒 6.2秒 5.9秒 3.5秒 3.2秒 4.8秒 5.1秒

呈直线较快飞行

1-2 纸飞机增大 1-3 纸飞机增重 1-4 纸飞机增大且增重

不规则但总体向前缓慢飞行 呈直线向前快速飞

行 不规则但总体向前较快飞行

由上表发现：保持第1组纸飞机其他量不变，体积增大飞行速度明显减小，飞行距离也大大缩短；而其他量不变，质量增大飞行速度明显增大，飞行距离也有所增加；当重量和大小同时在一定范围内增加时，总体上飞行速度略有减慢，但飞行距离略有增加。

From the above table we found for Group 1: in the condition of keeping the other variables of the paper airplane unchanged,the flight velocity decreased obviously and the flight distance shortens greatly with the volume increasing, and the flight velocity increasedobviously and the flight distance increase slightly with the mass increasing. When the mass and size increasedat the same time upto a certain value, as a whole, the flight speed sloweredslightly, but the flight distance increased slightly.

实验对象 试验次数

滞空时间（精确到一位小数） 平均值（精确到一位小数）

飞行直线距离

平均值（精确到一位小数）

飞行状态

18

1 2-1 原型机 2 9.7秒 10.1秒 10.4秒 4.5米 4.6米 4.7米 不规则缓慢飞行 2-2 纸飞机增大 1 13.2秒 12.2秒 2.1米 2.4米 2.7米 2 11.2秒 绕出发点不规则近似旋转，缓慢飞行 2-3 纸飞机增重 1 7.5秒 7.9秒 5.1米 5.2米 5.2米 呈近直线缓慢滑行 2 8.3秒 2-4 纸飞机增大且增重 1 10.5秒 13.4秒 4.9米 5.2米 5.4米 表 b－２ 2 16.2秒 不规则但总体向前较慢飞行 由上表发现：保持第2组纸飞机其他量不变，体积增大飞行速度大大减小，飞行距离也明显缩短；而其他量不变，质量增大飞行速度明显增大，飞行距离也有所增加；当质量和大小都增加一定范围内的值时，飞行速度略有减慢，但飞行距离略有增加。

From the above table we found for Group 2: keeping the otherquantityof the paper airplane unchanged, the flight speed greatly reduced and the flight distance shortened obviously with its volume increasing.And keeping the otherquantityof the paper airplane unchanged, the flight speed obviously increased and the flight distance increased slightly with its mass increasing. When the mass and size increased at the same time upto a certain value, the flight speed slightly slowered, but the flight distance increased slightly.

19

实验对象 试验次数

滞空时间（精确到一位小数） 平均值（精确到一位小数）

飞行直线距离

平均值（精确到一位小数）

飞行状态

1

3-1 原型机

2

7.2秒

7.3秒

7.4秒

10.3米

10.3米

10.2米

呈直线向前匀速稳定飞行

3-2 纸飞机增大

1 8.5秒

8.7秒

8.3米

8.6米

8.9米

2 8.9秒

呈近似直线线向前较慢稳定滑行

3-3 纸飞机增重

1 6.9秒

7.1秒

10.5米

10.6米

10.7米

呈直线向前匀速稳定飞行

2 7.3秒

3-4 纸飞机增大且增重

1 7.8秒

8.1秒

10.5米

10.9米

11.2米

表 b－3

2 8.3秒

呈直线向前匀速稳定飞行

由上表发现：保持第3组纸飞机其他量不变，体积增大飞行速度减小，飞行距离明显缩短；而其他量不变，质量增大飞行速度略有增大，飞行距离也略有增加；当重量和大小都增加一定范围内的值时，飞行速度略有减慢，但飞行距离略有增加。

From the above table we found for Group 3: keeping the otherquantityof the paper airplane unchanged, the flight speed slightly reduced and the flight distance shortened obviously with its volume increasing.And keeping the otherquantityof the paper airplane

20

离也有所增加；而在逆风的条件下，质量增大飞行速度也有所增大，飞行距离也有所增加。

Keeping the otherquantityof the paper airplane unchanged, in the downwind condition, the flight speed slightlyincreased and the flight distance also increased slightly with its mass increasing.And in the upwind condition, the flight speed increased slightly and the flight distance also increased slightly.

其他量不变，当质量和大小都增加一定范围内的值时，顺风在飞行距离和飞行速度上都略有增加，而逆风飞行的飞行速度和飞行距离都有相当大程度减小。

Keeping the otherquantityof the paper airplane unchanged, when the mass and size increased at the same time upto a certain value, in the downwind condition both the flight speed and the flight distance slightly increased, while in the downwind condition both the flight speed and the flight distance reduced considerably.

五、研究成果Research Achievement

（一） 文献研究成果Literature Research Achievement

通过百度搜索发现：机头稍重能起到带动作用，能够使机身整体保持平衡。如果机身后部质量过重，纸飞机在飞行过程中则容易后翻。纸飞机飞行距离的远近取决于飞机的稳定度。沿着机翼的配重使重心更向前，飞机也就更平稳。纸飞机的机翼最基本有两种，三角翼（相当于我们的1型）及四角翼（相当于我们的2、3型），也就是纸飞机机翼最基础的两种折法。当纸飞机的重心落在它几何中心点前面的时候，飞机就能稳定，若落在几何中心点后面，机身就会不稳定。而一个三角翼的纸飞机几何中心点约落在机身的二分之一处，四角翼的纸飞机几何中心点落在机身前方四分之一处。

Throughthe Baidu search,we found:a slightly heavier head can play the leading role, and can make the plane body maintain the overall balance.If the plane rear is too heavy, the paper airplane in flight is to somersault. There are two basic paper airplane wings: delta wing (equivalent to our Type 1) and four corners of the wing (equivalent toour Type2 or 3), which are the most basic folding ways. When thegravity center of the paper airplaneflight locates at the point in front of the geometry center, the aircraft could keep stable, or could be unstable. And the geometry center of paper plane with delta wings is about at the point of one half of the fuselage, the geometry center of paper plane with the four-corner wings locates at the point of the one fourth of the front fuselage.

26

（二）研究结论Research Conclusion

综合文献研究和实验探究，我们认为：

Based on the literature research and experimental exploring results, we believe that:

1.飞行者手拿纸飞机的部位与纸飞机方向意味着动力的作用点和作用方向，是不容忽视的。对于1型飞机，所做纸飞机的重心应该落在机身二分之一处的前面，飞行时，手握处与重心重合，并与机翼最上方近乎水平，而对于2、3型飞机，所做纸飞机的重心应该落在机身前方四分之一处的前面。飞行时，机翼尾部也要与重心重合，并与手握处近乎水平。

1. The position of holding the paper airplane and the flight direction of the paper airplane means its power point and direction, and cannot be ignored.For type 1 aircraft，the center of gravity of a paper plane we made should land in front of thehalf fuselage. In flying, the holdingpositionshould coincide with the center of gravity, and should almost keep level with the wingtop.For type2, 3, airplane, the center of gravity of a paper plane we made should land in front of a quarter of the frontfuselage. In flying, the wing tailshould almost keep level with the holdingposition.

2.对于机头的形状似乎并不是那么的重要。只要是风阻比较小，质量相对机尾略重一些就可以取得不错的飞行效果。

2. For the shape of the fuselagenose seems not so important.As long as the wind resistance is relatively small, and its mass is slightly bigger than its tail, can obtain good effect of flight.

3.纸飞机2、3型往往不是成直线飞行，且易受风的影响。通过仔细思索我们认为应该是因为这种真实的飞机机翼一般都会大而薄；机翼与机头成非三角形对飞机直行的作用似乎并不大，只是是其转弯弧度似乎变大。而1型纸飞机往往飞行成直线飞行，且受风影响较小，我们认为应该是因为这类飞机机翼往往较厚而相对细小，使飞机飞得似乎更加的稳定。

3. Type 2 or 3 of the paper plane flies often not in a straight line, and vulnerable to the influence of the wind. By careful thinking we understand it is because the real aircraft wing usually large and thin, and the none-triangular shape between the plane wing and planehead seems not importantfor the straight flight, and just making the turning radian get bigger.And Type 1 paper aircraft often flies in a straight line, and less affected by the wind, we think it is because its wingstend to be thick and relatively small, and make the aircraft be more stable.

4.不论是1、2还是3型纸飞机，只要保持其他量不变，纸飞机的大小能明显阻

27

碍其飞行，而在一定范围内质量越大，飞的越远。当质量和大小都在一定范围内变动时，滞空时间和飞行距离的改变，很可能是取决于质量和大小之间的一种微妙的平衡！

4. Whether it's paper planesType1, 2, or 3, as long as keeping the otherquantityof the paper airplane unchanged, the size of the paper airplane can significantly hinder its flight, and within a certain range, the greater the mass is,the farther the plane flies.When the mass and the size change within a certain range, the air time and the flight distance are likely to depend on a delicate balance between the mass and the size!

5.风的影响从有风（包括顺风与逆风）、无风等各种情况去统计平均值的话，不论是对1、2还是3型纸飞机，对各种不同形状、大小或质量的纸飞机都是差不多的。这个发现令我们非常震惊！

5. The influence of the wind from the point of the statistical average value,in the downwind, upwind and calm conditions, whether it's for the paper airplane Type1, 2, or 3, is similarfor a variety of different shape, size, or mass. This discovery really shocked us!

（三）体会与反思Experiencing and Reflecting

通过此次综合实践探究，我们收获了许多。不仅对于纸飞机的了解更加深刻，而且对于纸飞机的喜爱也愈发浓重了。我们都在感叹纸飞机的奇妙之处时，不知不觉也带动了班上其他同学对纸飞机的喜爱。对于此次研究我们唯一感到遗憾的是，由于种种条件限制，我们并未得出怎样的纸飞机才能飞得最高。所以我们并没能做出想象中完美的纸飞机。现在我们可以做出比以往更优秀的纸飞机，飞的手法的更加娴熟，得出了不少有价值的结论。我们也明白了纸飞机和电子遥控飞机是截然不同的。我们可以号召更多人通过玩纸飞机摆脱电子设备回到真实的现实世界中来，来享受明媚的阳光与清新的空气！

By the comprehensive inquiry, we harvest a lot of, not only understand more deeplyfor the paper airplanes, but also like increasingly for them.We were all wonderingthe miracle of the paper airplane,the rest of the class were imperceptibly led to their likings for the paper planes. As for the study we only regretted that, due to various constraints, we did not get what kind of paper airplane can fly the highest.So we didn't make anideal paper airplanes. Thanks for many valuable conclusions, now we can make the paper airplanesmore excellent than ever, our flying technique becomes more skilled. We also understand that the paper airplane is very different from the electronic telecontrol plane.We can call on more people by playing the paper airplane to get rid of the electronic equipment，and to return to the real world to enjoy

28

the healthful sunshine and fresh air!

29

unchanged, the flight speed slightly increased and the flight distance also increased slightly with its mass increasing. When the mass and size increased at the same time upto a certain value, the flight speed became slightly slower, but the flight distance increased slightly.

实验对象

试验风

滞空时间

平均值

飞行直线距离

平均值

飞行状态 呈直线向前快速稳定飞

行 呈近直线向前不稳定较快飞行 呈直线向前快速飞行 呈直线向前快速稳定飞

行 呈近直线向前不稳定较快飞行 呈直线向前快速飞行 呈直线向前快速稳定飞

行 呈近直线向前不稳定较快飞行 呈直线向前快速飞行 呈直线向前快速稳定飞

行 呈近直线向前不稳定较快飞行

有风顺风

1-1 原型机

有风逆风 无风 有风顺风

1-2 纸飞机增大

有风逆风 无风 有风顺风

1-3 纸飞机增重

有风逆风 无风 有风顺风 有风逆风

4.2秒

4.0秒（精确到一位小数）

14.9米

14.6米（精确到一位小数）

3.7秒 13.7米

4.1秒 15.2米

4.5秒

4.1秒（精确到一位小数）

15.0米

15.0米（精确到一位小数）

3.5秒 14.6米

4.2秒 15.3米

4.0秒

3.9秒（精确到一位小数）

16.2米

15.9米（精确到一位小数）

3.8秒 15.4米

4.0秒 16.1米

1-4 纸飞机增大且增重

4.3秒

3.9秒

4.1秒（精确到一位小数）

15.1米

14.8米

15.1米（精确到一位小数）

21

无风 4.1秒 15.4米 表 b－4 呈直线向前快速飞行 注意到上表第1组纸飞机在顺风和逆风的条件下分别与原型机比较，并发现：保持其他量不变，在顺风的情况下，体积增大飞行速度略有减小，而飞行距离略增；而在逆风的条件下，保持其他量不变，体积增大飞行速度不减反增，飞行距离也不缩反增，似乎有勃常理，可能与飞行数据测量的偶然性有关。

We noticed in the above tablein the downwind and upwind conditions for the 1st groupscomparing respectively with the prototype, and found: keeping the otherquantityof the paper airplane unchanged, in the downwind condition, the flight speed slightly reduced while the flight distance slightlyincreased with its volume increasing.And in the upwind condition, keeping the otherquantityof the paper airplane unchanged, the flight speed increased instead of decreasing, which seems contrary to the common sense，and maybe associated with the contingency of the flight data measurement.

纸飞机其他量不变，在顺风的情况下，质量增大飞行速度明显增大，飞行距离明显增加；而在逆风的条件下，纸飞机其他量不变，质量增大飞行速度也有所增大，飞行距离也有所增加。

Keeping the otherquantityof the paper airplane unchanged, in the downwind condition, the flight speed obviouslyincreased and the flight distance also increased obviously with its mass increasing.And in the upwind condition, keeping the otherquantityof the paper airplane unchanged, the flight speed increased slightly and the flight distance also increased slightly.

其他量不变，当重量和大小都增加一定范围内的值时，顺风在飞行距离上略有优势，而逆风飞行距飞行速度有明显优势。

Keeping the otherquantityof the paper airplane unchanged, When the mass and size increased at the same time upto a certain value, the downwind condition has more advantage on the flight distance than the upwind, and the upwind condition has more advantage on the flight speed than the downwind.

22

实验对象

试验风 有风顺风 有风逆风

滞空时间 12.2秒 7.3秒

平均值

飞行直线距离 4.4米

平均值 飞行状态 不规则缓慢飞行

2-1 原型机

10.3秒（精确到一位小数）

2.6米

3.7米（精确到一位小数）

被风阻挡向上甚至后飞 绕出发点不规则近似旋转，缓慢飞

行 不规则缓慢飞行

无风 11.5秒 4.1米

有风顺风 13.4秒

10.6秒（精确到一位小数）

5.1米

2-2 纸飞机增大

有风逆风 6.8秒 1.4米

3.7米（精确到一位小数）

明显被风阻挡向上甚至向后飞行 绕出发点不规则近似旋转，缓慢飞

行 不规则缓慢飞行

无风 11.7秒 4.5米

有风顺风

2-3 纸飞机增重

有风逆风

11.9秒 7.7秒

10.4秒（精确到一位小数）

4.7米 3.0米

4.0米（精确到一位小数）

被风阻挡向上甚至后飞 绕出发点不规则近似旋转，缓慢飞

行 不规则缓慢飞行

无风 11.6秒 4.2米

有风顺风 有风逆风

12.5秒 7.1秒

10.5秒（精确到一位小数）

6.1米 2.1米

4.5米（精确到一位小数）

2-4 原型机

被风阻挡向上甚至后飞 绕出发点不规则近似旋转，缓慢滑

行

无风 11.9秒 5.2米

表 b－5

23

注意到上表第2组纸飞机，在顺风和逆风的条件下分别与原型机比较，并发现：纸飞机其他量不变，在顺风的情况下，体积增大飞行速度略有增大，飞行距离也增大；而在逆风的条件下，体积增大飞行速度明显减小，飞行距离也大大减小，符合常理。

We noticed in the above tablein the downwind and upwind conditions for the 2nd groupscomparing respectively with the prototype, and found: keeping the otherquantityof the paper airplane unchanged, in the downwind condition, the flight speed slightly increased and the flight distance alsoincreased with its volume increasing.And in the upwind condition, the flight speed decreased obviously, which seems accorded with the common sense.

纸飞机其他量不变，在顺风的情况下，质量增大飞行速度略有增大，飞行距离也略有增加；而在逆风的条件下，质量增大飞行速度也有所增大，飞行距离也有所增加。

Keeping the otherquantityof the paper airplane unchanged, in the downwind condition, the flight speed increased slightly and the flight distance also increased slightly with its mass increasing.And in the upwind condition, the flight speed increased slightly and the flight distance also increased slightly.

其他量不变，当重量和大小都增加一定范围内的值时，顺风在飞行距离和飞行速度上都有优势，而逆风飞行距飞行速度和飞行距离都有明显减小。

Keeping the otherquantityof the paper airplane unchanged, the downwind condition has advantage on both flight speed and the flight distance, and in the upwind condition both flight speed and the flight distanceare all significantly reduced.

实验对

象

试验风 有风顺风

滞空时间 6.7秒

平均值 5.7秒（精确到一位小数）

飞行直线距离 11.1米

平均值 9.3米（精确到一位小数）

飞行状态 呈直线向前匀速稳定飞

行 受风影响不规则飞行 呈直线向前匀速稳定飞

行

3-1 原型机

有风逆风 无风

4.3秒 6.2秒

6.3米 10.4米

3-2 纸飞机

有风顺风 6.9秒

5.6秒（精确到一位

12.1米

9.5米（精确到一位呈直线向前匀速稳定飞

24

增大 小数） 小数） 行 有风逆风 无风 4.0秒 6.0秒 5.8米 10.6米 受风影响不规则飞行 呈直线向前匀速稳定飞行 9.7米（精确到一位小数） 呈直线向前匀速稳定飞行 受风影响不规则飞行 呈直线向前匀速稳定飞行 9.4米（精确到一位小数） 呈直线向前匀速稳定飞行 受风影响不规则飞行 呈直线向前匀速稳定飞行 有风顺风 5.9秒 5.4秒（精确到一位小数） 12.0米 3-3 纸飞机增重 有风逆风 无风 4.1秒 6.1秒 6.5米 10.5米 有风顺风 3-4 纸飞机增大且增重 6.4秒 5.4秒（精确到一位小数） 11.7米 有风逆风 无风 3.9秒 5.9秒 6.0米 10.6米 表 b－6 注意到上表第3组纸飞机，在顺风和逆风的条件下分别与原型机比较，并发现：纸飞机其他量不变，在顺风的情况下，体积增大飞行速度略有增大，飞行距离略有减小；而在逆风的条件下，体积增大飞行速度明显减小，飞行距离也大大减小，符合常理。

We noticed in the above tablein the downwind and upwind conditions for the 3rd groups comparing respectively with the prototype, and found: keeping the otherquantityof the paper airplane unchanged, in the downwind condition, the flight speed slightly increased while the flight distance slightly decreased with its volume increasing. And in the upwind condition, the flight speed decreased obviously with its volume increasing, and the flight distance also decreased greatly, which seems accorded with the common sense.

纸飞机其他量不变，在顺风的情况下，质量增大飞行速度有所增大，飞行距

25

本文来源：https://www.bwwdw.com/article/bcif.html