Title: Calculus II: The Tilted Bottle Lab The `bottle lab' been a very successful laboratory project. Tilting a bottle until liquid come out is an everyday experience but very few people believe that a tilt of almost 70 degrees is required to get fluid from a glass that is 80 percent full. The context is quite flexible. It is easily generalized from cylindrical to conical containers for which analytic solutions can be realized with Maple. If one is willing to use numerical techniques then one can have students develop more realistic models for the bottles and still have solvable problems. One extension we have not yet tried is to use this as a moment exercise, having students calculate the angle at which a tilted bottle with fluid just starting to emerge will be ambivalent as to whether it moves to fall over or right itself. Author: Paul Eakin Total PostScript files: 1 Total number of pages: 4 Total LaTex files: 1 Supporting files: bottle.dvi Size: 7568 bottle.ps Size: 86616 bottle.tex Size: 6469 diagram.eps Size: 18063 double.sty Size: 721 epsf.sty Size: 8344 mapleenv.sty Size: 13181 maplems.sty Size: 3331 maplemsplain.sty Size: 3246 notes.sty Size: 1443 psfig.sty Size: 28879 rect_sect.eps Size: 17815 tilt.eps Size: 15363 twocolum.sty Size: 344 upsdown.eps Size: 19948 Total files: 15
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Name | Size/Type | Last Modified |
Calculus II: The Tilted Bottle Lab | Current Directory | Tue Jul 16 03:41:51 1996 |
bottle.tex | 6469 | Tue Jul 16 03:41:45 1996 |
diagram.eps | 18063 | Tue Jul 16 03:41:45 1996 |
rect_sect.eps | 17815 | Tue Jul 16 03:41:46 1996 |
tilt.eps | 15363 | Tue Jul 16 03:41:46 1996 |
upsdown.eps | 19948 | Tue Jul 16 03:41:46 1996 |
mapleenv.sty | 13181 | Tue Jul 16 03:41:47 1996 |
maplems.sty | 3331 | Tue Jul 16 03:41:47 1996 |
maplemsplain.sty | 3246 | Tue Jul 16 03:41:47 1996 |
notes.sty | 1443 | Tue Jul 16 03:41:47 1996 |
psfig.sty | 28879 | Tue Jul 16 03:41:47 1996 |
double.sty | 721 | Tue Jul 16 03:41:48 1996 |
epsf.sty | 8344 | Tue Jul 16 03:41:48 1996 |
twocolum.sty | 344 | Tue Jul 16 03:41:48 1996 |
bottle.dvi | 7568 | Tue Jul 16 03:41:51 1996 |
bottle.ps | 86616 | Tue Jul 16 03:41:50 1996 |
bottle.zip | 72820 | Tue Jul 16 03:41:52 1996 |