Date: Tue, 22 Apr 2003 15:44:18 -0400

Author: Machele Cable

Subject: Re: exponential growth

Post:

Hi Jerry,

I'm not sure it's exactly what you're looking for but you might try the
mouse trap runaway nuclear reaction. We use about 100 or so mousetraps
with two small cubes of wood on each trap, we then cover the whole
think with a chicken wire cage and drop in a single block of wood to
start the thing off. Very impressive but a huge pain (literally and
figuratively!) to set up. Is it technically exponential growth?
probably not, but it comes close enough.


-Stephen.

On Tuesday, April 22, 2003, at 01:41 PM, Gerald Zani wrote:

> Tappers,
>
> Does anyone have a demo to show exponential growth?
>
> I am not interested to do comparative volumes of grains of sand or
> rice. That is a static model for exponential growth that I don't
> want. I do not need mathematical models or simulations.
>
> I need a dynamic demo, something akin to bacteria growth, but rather a
> physical demo not a biological one. The topic of exponential growth
> comes up in Astronomy and I would like to give the class a good demo.
>
> Any ideas?
>
> Jerry
> Gerald Zani e-mail: Gerald_Zani@brown.edu
> Manager of Demonstrations phone: (401) 863-3964
> Department of Physics FAX: (401) 863-2024
> Brown University Providence, RI 02912-1843 USA
>
> URL http://www.physics.brown.edu/users/staff/zani/index.html
> URL http://www.physics.brown.edu/Studies/Demo/
>
> "Look deep, deep, into nature and then you will understand better."
> Albert Einstein
>
>
**********************************
Stephen Irons Yale
University
Director, Instructional Laboratories Department of Physics
tel: 203-432-3664 P.O. Box
208120
fax: 203-432-6175 New Haven,
CT 06520-8120
email: stephen.irons@yale.edu

COURIER DELIVERIES PLEASE USE
Yale University
Department of Physics
217 Prospect Street
New Haven, CT 06520
From cablem@wfu.edu Tue Apr 22 15:39:58 2003
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Date: Tue, 22 Apr 2003 15:44:18 -0400
From: Machele Cable
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Choose 1 student. Have that student come to the front of the class.
Introduce them, etc..they are now the 'seed'. Have them go choose
another student to join them. then the 2 students each choose
another...and so on and so on, until the whole class is crammed up at
the front. Or, if you don't want them to come up front, just have them
stand.

Chele

Gerald Zani wrote:

> JSJ,
>
> Thanks, BUT...The astro faculty nows about that film. Again, I seek
> not a movie, nor a demo about the exponential scaling of dimensions.
>
> I seek a dynamic, physical demo about exponential growth. There are
> lots of demos about exponential decay, for example the decay of damped
> oscillations. But is there a demo, not a movie or computer
> simulation, but a demo about exponential growth? Maybe some kind of
> exponential growth in the amplitude of some kind of oscillation? I
> dunno. I asketh, and I seeketh experimental knowledge. Living
> proof. Not a movie. But again, I say thanks for taking a shot, Jerry
>
> At 02:46 PM 4/22/2003 -0400, you wrote:
>
>> What about the Eameses' film, Powers of Ten? Admittedly, just a flick,
>> but an astounding and insight-yielding one.
>>
>> ____________________________________________________
>> Jason St. John 617.353.2634 stjohn@bu.edu
>> Boston University Physics Lecture Demonstrations
>>
>> On 2003-04-22.13:41 owner-tap-l@listproc.appstate.edu sent:
>>
>> Tappers,
>>
>> Does anyone have a demo to show exponential growth?
>>
>> I am not interested to do comparative volumes of grains of sand or
>> rice. That is a static model for exponential growth that I don't
>> want. I
>> do not need mathematical models or simulations.
>>
>> I need a dynamic demo, something akin to bacteria growth, but rather a
>> physical demo not a biological one. The topic of exponential growth
>> comes
>> up in Astronomy and I would like to give the class a good demo.
>>
>> Any ideas?
>>
>> Jerry
>> Gerald Zani e-mail: Gerald_Zani@brown.edu
>> Manager of Demonstrations phone: (401) 863-3964
>> Department of Physics FAX: (401) 863-2024
>> Brown University Providence, RI 02912-1843 USA
>>
>> URL http://www.physics.brown.edu/users/staff/zani/index.html
>> URL http://www.physics.brown.edu/Studies/Demo/
>>
>> "Look deep, deep, into nature and then you will understand better."
>> Albert Einstein
>
>
> Gerald Zani e-mail: Gerald_Zani@brown.edu
> Manager of Demonstrations phone: (401) 863-3964
> Department of Physics FAX: (401) 863-2024
> Brown University Providence, RI 02912-1843 USA
>
> URL http://www.physics.brown.edu/users/staff/zani/index.html
> URL http://www.physics.brown.edu/Studies/Demo/
>
> Do a little more of that work which you have confessed to be good,
> Which you feel that society and your most Just Judge rightly demand of
> you.
> Cultivate the tree which you have found to bear fruit in your soil.
> If you have any experiments you would like to try, try them.
> Now's your chance.
> Henry David Thoreau, Journal entry, 1850.
>
>
>

--
~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~
Machele Cable Lab Manager Physics WFU
Phone: (336) 758-5532 Fax: (336) 758-6142
~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~
Friends are the Bacon Bits in the salad bowl of life.
~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~
There's a thin woman inside of me trying to get out,
but I can usually shut her up with some chocolate!


From cary@arborsci.com Tue Apr 22 15:45:09 2003
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How about each student folding a large sheet of newspaper in half over
and over? Then look at how many layers of paper there are after each
fold, and why it gets impossible when you get to about 10 folds (or
before... I don't recall).

Cary

-----Original Message-----
From: Gerald Zani [mailto:Gerald_Zani@brown.edu]
Sent: Tuesday, April 22, 2003 1:41 PM
To: tap-l@listproc.appstate.edu
Subject: exponential growth


Tappers,

Does anyone have a demo to show exponential growth?

I am not interested to do comparative volumes of grains of sand or
rice. That is a static model for exponential growth that I don't want.
I
do not need mathematical models or simulations.

I need a dynamic demo, something akin to bacteria growth, but rather a
physical demo not a biological one. The topic of exponential growth
comes
up in Astronomy and I would like to give the class a good demo.

Any ideas?

Jerry
Gerald Zani e-mail: Gerald_Zani@brown.edu
Manager of Demonstrations phone: (401) 863-3964
Department of Physics FAX: (401) 863-2024
Brown University Providence, RI 02912-1843 USA

URL http://www.physics.brown.edu/users/staff/zani/index.html
URL http://www.physics.brown.edu/Studies/Demo/

"Look deep, deep, into nature and then you will understand better."
Albert Einstein

From cablem@wfu.edu Tue Apr 22 15:47:52 2003
Message-ID: <3EA59D6A.8030909@wfu.edu>
Date: Tue, 22 Apr 2003 15:52:10 -0400
From: Machele Cable
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That should be each student chooses another student EACH. Else, its not
exponential...duh...

Chele


Machele Cable wrote:

> Choose 1 student. Have that student come to the front of the class.
> Introduce them, etc..they are now the 'seed'. Have them go choose
> another student to join them. then the 2 students each choose
> another...and so on and so on, until the whole class is crammed up at
> the front. Or, if you don't want them to come up front, just have them
> stand.
>
> Chele
>
> Gerald Zani wrote:
>
>> JSJ,
>>
>> Thanks, BUT...The astro faculty nows about that film. Again, I seek
>> not a movie, nor a demo about the exponential scaling of dimensions.
>>
>> I seek a dynamic, physical demo about exponential growth. There are
>> lots of demos about exponential decay, for example the decay of
>> damped oscillations. But is there a demo, not a movie or computer
>> simulation, but a demo about exponential growth? Maybe some kind of
>> exponential growth in the amplitude of some kind of oscillation? I
>> dunno. I asketh, and I seeketh experimental knowledge. Living
>> proof. Not a movie. But again, I say thanks for taking a shot, Jerry
>>
>> At 02:46 PM 4/22/2003 -0400, you wrote:
>>
>>> What about the Eameses' film, Powers of Ten? Admittedly, just a flick,
>>> but an astounding and insight-yielding one.
>>>
>>> ____________________________________________________
>>> Jason St. John 617.353.2634 stjohn@bu.edu
>>> Boston University Physics Lecture Demonstrations
>>>
>>> On 2003-04-22.13:41 owner-tap-l@listproc.appstate.edu sent:
>>>
>>> Tappers,
>>>
>>> Does anyone have a demo to show exponential growth?
>>>
>>> I am not interested to do comparative volumes of grains of sand or
>>> rice. That is a static model for exponential growth that I don't
>>> want. I
>>> do not need mathematical models or simulations.
>>>
>>> I need a dynamic demo, something akin to bacteria growth, but rather a
>>> physical demo not a biological one. The topic of exponential growth
>>> comes
>>> up in Astronomy and I would like to give the class a good demo.
>>>
>>> Any ideas?
>>>
>>> Jerry
>>> Gerald Zani e-mail: Gerald_Zani@brown.edu
>>> Manager of Demonstrations phone: (401) 863-3964
>>> Department of Physics FAX: (401) 863-2024
>>> Brown University Providence, RI 02912-1843 USA
>>>
>>> URL http://www.physics.brown.edu/users/staff/zani/index.html
>>> URL http://www.physics.brown.edu/Studies/Demo/
>>>
>>> "Look deep, deep, into nature and then you will understand better."
>>> Albert Einstein
>>
>>
>>
>> Gerald Zani e-mail: Gerald_Zani@brown.edu
>> Manager of Demonstrations phone: (401) 863-3964
>> Department of Physics FAX: (401) 863-2024
>> Brown University Providence, RI 02912-1843 USA
>>
>> URL http://www.physics.brown.edu/users/staff/zani/index.html
>> URL http://www.physics.brown.edu/Studies/Demo/
>>
>> Do a little more of that work which you have confessed to be good,
>> Which you feel that society and your most Just Judge rightly demand
>> of you.
>> Cultivate the tree which you have found to bear fruit in your soil.
>> If you have any experiments you would like to try, try them.
>> Now's your chance.
>> Henry David Thoreau, Journal entry, 1850.
>>
>>
>>
>

--
~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~
Machele Cable Lab Manager Physics WFU
Phone: (336) 758-5532 Fax: (336) 758-6142
~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~
Friends are the Bacon Bits in the salad bowl of life.
~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~ - ~
There's a thin woman inside of me trying to get out,
but I can usually shut her up with some chocolate!


From rtarara@saintmarys.edu Tue Apr 22 15:58:25 2003
Message-ID: <011a01c3090b$1ff647b0$96503593@RickTarara>
From: "Rick Tarara"
To:
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Subject: Re: exponential growth
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Another M&M demo.

Give the first student 1 M&M, then give the second 2, the third 4, and keep
doubling. Count them out ahead of time and quit after the 10th (512) or
11th (1024) student and have them share, but calculate for the nth student
(and calculate the weight as well). Figure how many students could get
their double number of M&Ms before the weight equals that of the earth
(93-94--depends on the weight of an M&M).

Rick

----- Original Message -----
From: "Sam Sampere"
To:
Sent: Tuesday, April 22, 2003 2:37 PM
Subject: Re: exponential growth


> I think he's looking for something large and dramatic. Bacteria growing
is
> the ideal example, but they're too small. Jerry wants some population of
> exponentially growing rabbits.
>
> How about getting 200 lbs of M & Ms. Start with one M & M in a bin and
add
> more every 5 seconds. How many seconds until all 200 lbs are in your bin?
> Of course, you need to know the weight/M & M. Then give them all away to
the
> students. They'll remember that forever! Then ask how many pounds of M &
Ms
> would you need to add for the next 5 s interval, and the next. What would
> the total volume be after those last two intervals.
>
> I like M & Ms, can you tell? Good energy food for biking! And yes, they
do
> melt in your jersey pocket. Snow and ice tomorrow, no biking tomorrow.
>
> Here's a physics demo I need help with. While commuting to work on
bicycle,
> I routinely have exchanges with obnoxious drivers. I want something on my
> bike that I can point at their car and vaporize them. Ok, that's asking a
> bit much, but you get the idea. A friend suggested a paintball gun. I
don't
> like the gun thing. Some EM pulse?? Needs to be small, light and
preferably
> made from carbon fiber or titanium.
>
> Sam
>
> Andy Dougherty wrote:
>
> > On Tue, 22 Apr 2003, Gerald Zani wrote:
> >
> > > I seek a dynamic, physical demo about exponential growth.
> >
> > The main problem that occurs to me is that every example I can think of
> > saturates quite quickly, and is not necessarily particularly compelling.
> >
> > How about positive feedback with a microphone?
> >
> > Basically anything with positive feedback might do. Temperature control
> > systems with a time delay are another favorite example of mine. (Though
> > there the thing that grows exponentially is the amplitude of
oscillations
> > about the set point. Depending on the sophistication of the audience,
> > they might have trouble abstracting away an amplitude of oscillation.)
> >
> > --
> > Andy Dougherty doughera@lafayette.edu
> > Dept. of Physics
> > Lafayette College, Easton PA 18042
>
From billb@eskimo.com Tue Apr 22 16:12:42 2003
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Date: Tue, 22 Apr 2003 13:16:50 -0700 (PDT)
From: William Beaty
To: tap-l@listproc.appstate.edu
Subject: Re: exponential growth
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On Tue, 22 Apr 2003, Sam Sampere wrote:
> Here's a physics demo I need help with. While commuting to work on bicycle,
> I routinely have exchanges with obnoxious drivers. I want something on my
> bike that I can point at their car and vaporize them. Ok, that's asking a
> bit much, but you get the idea. A friend suggested a paintball gun. I don't
> like the gun thing. Some EM pulse?? Needs to be small, light and preferably
> made from carbon fiber or titanium.


Current technology should be able to make a "magic paintbrush" handheld
inkjet printer which creates instant bumper stickers on any surface.


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AMASCI.COM is up for a 2003 Webby award! Please vote in the
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From anthony_lapinski@pds.org Tue Apr 22 16:27:59 2003
Message-id:
Date: Tue, 22 Apr 2003 16:37:34 -0400
Subject: bumblebee
To: tap-l@listproc.appstate.edu
From: "Anthony Lapinski"
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Anyone know the approximate frequency of a bumblebee (or other small
flying creatures) flapping its wings? I'm trying to make up a
beats/Doppler effect problem.
From DWARN@boisestate.edu Tue Apr 22 16:31:20 2003

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