Bilingual edition: English is preserved and Chinese follows each unit. Terminology uses the confirmed v20260916 glossary; automated semantic review remains traceable.
中英双语版:英文原文完整保留,中文紧随对应单元;术语采用 v20260916 确认表,自动语义审校结果可追溯。

Plastic Coke Bottle Resonance

塑料可乐瓶共振

The cavity resonance frequencies of a 20 oz plastic coke bottle were recorded by blowing over the top of it and measuring the frequency using a microphone and a digital frequency counter.

用吹过塑料可乐瓶顶部的方法记录了20盎司塑料可乐瓶的共振频率,并利用麦克风和数字频率计测量频率。
Frequency data
频率数据
Curve fit
曲线拟合
Calculation of frequency vs volume
频率与体积的计算
Glass coke bottles of different size
不同尺寸的玻璃煤油瓶
Index

Wave concepts

Resonance concepts
索引 波的概念 共振概念
 
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Plastic Coke Bottle Data

塑料可乐瓶数据

The cavity resonance frequencies of a 20 oz plastic coke bottle were recorded by blowing over the top of it and measuring the frequency using a microphone and a digital frequency counter.

用吹过塑料可乐瓶顶部的方法记录了20盎司塑料可乐瓶的共振频率,并利用麦克风和数字频率计测量频率。
Discussion of coke bottle resonance
coke bottle resonance 的讨论
Curve fit of data
数据拟合
Fill
(cm3)
填充分(cm³)
Freq.
(Hz)
频率(Hz)
Air Vol.
(cm3)
空气体积(cm³)
0
178
646
25
182
621
50
184
596
75
188
571
100
192
546
125
197
521
150
202
496
175
209
471
200
214
446
225
221
421
250
229
396
275
236
371
300
244
346
325
256
321
350
268
296
375
287
271
400
294
246
425
318
221
450
340
196
475
364
171
500
406
146
525
445
121
550
496
96
Index

Wave concepts

Resonance concepts
索引 波的概念 共振概念
 
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Curve fit of Plastic Coke Bottle Data

塑料可乐瓶数据的曲线拟合

The cavity resonance data for a 20 oz plastic coke bottle was fit with a least squares line with the aid of the CricketGraph software.

利用CricketGraph软件,对20盎司塑料可乐瓶的共振数据进行了最小二乘拟合。
Coke bottle resonance measurements
可口可乐瓶共振测量
Modeling of frequencies from curve fit
曲线拟合建模频率
Index

Wave concepts

Resonance concepts
索引 波的概念 共振概念
 
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Modeling Plastic Coke Bottle Resonance

塑料可乐瓶的共振建模

You can calcutate the amount of water to add to sound a chosen frequency with a 20 oz plastic coke bottle. Use the curve fit to calculate the volume and subtract that from the total volume to predict the amount of water to add.

你可以用20盎司的塑料可乐瓶计算需要加入多少水以达到所选频率。使用曲线拟合计算体积,并从总体积中减去该体积,以预测需要加入的水量。

The curve fit of the resonance data leads to the expression:

共振数据的曲线拟合得到以下表达式:

If you want to sound frequency f = Hz, then the model gives a volume of cm3. This means that for a bottle of volume 646 cm3, you will have to add cm3 of water.

如果你想得到频率为 f = Hz 的声音,那么模型给出的体积是 cm³。这意味着,对于一个体积为 646 cm³ 的瓶子,你需要加入 cm³ 的水。
中文译文中的待填/计算数值依次对应:1:f 2:v 3:vf。实际数值以上方原输入框为准。

The practical range for this coke bottle is from about 180 to 500 Hz. This is about an octave plus a musical fifth near the middle of the piano, so most simple musical tunes can be produced with such bottles. From a musical score, you can find the associated frequencies from the equal tempered frequency list.

这种香槟瓶的实际频率范围大约是180到500赫兹。这大约相当于钢琴中音区的一个八度加一个五度音程,因此可以用这样的瓶子演奏出大多数简单的音乐曲调。从乐谱上可以找到对应的等音律频率。
Cavity resonance
共振腔共振
Coke bottle resonance
可乐瓶共振
Equal tempered frequency list
等音律频率表
Frequencies for "Mary Had a Little Lamb"
'Mary Had a Little Lamb' 的频率
Index

Wave concepts

Resonance concepts
索引 波的概念 共振概念
 
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Mary Had a Little Lamb

玛丽有一只小羊

The calculated frequencies for a 20 oz plastic coke bottle can be used to tune coke bottles to produce simple melodies. The tune for "Mary Had a Little Lamb" has only four notes. The coke bottle that was used had a measured total volume of 646 cm3.The frequencies and volumes for those notes are as follows.

计算出的20盎司塑料可乐瓶的频率可以用来调节可乐瓶以产生简单的旋律。"Mary Had a Little Lamb"这首曲子只有四个音符。所用的可乐瓶的测量总体积为646立方厘米。这些音符的频率和体积如下:
Frequency (Hz)
频率 (赫兹)
Air volume (cm3)
空气体积(立方厘米)
Water volume to add(cm3)
需添加的水量(cm³)
196
524.5
121.5
220
428.7
217.3
246.9
349.5
296.5
293.7
256.0
390.0

Experimenters Michelle Miresse, Jeanne Urban and Kim Miller enjoy their production of "Mary Had a Little Lamb". Everyone else liked it too!

实验者米歇尔·米雷斯、简妮·乌尔班和金·米勒享受她们制作的《玛丽有一只小羊》的演出。其他人也喜欢它。
Coke bottle resonance measurements
可口可乐瓶共振测量
Modeling of frequencies from curve fit
曲线拟合建模频率
Index

Wave concepts

Resonance concepts
索引 波的概念 共振概念
 
HyperPhysics***** Sound
HyperPhysics ***** 声音
R Nave
Go Back
返回