|
High School
Mathematics-Physics SMILE
Meeting
1997-2006 Academic Years Fluids |
![]() |
24 March 1998 Jane Shields [Chicago SDA Academy]
She showed the Bernoulli effect by taking a hair dryer and
placing a balloon (later with more success a ping-pong ball) that
the
ball was lifted in the stream of air.
Her source was "Science in the Bible":
-Isaiah 40:31
07 April 1998 Announcement by Jane Shields [Chicago
Academy]
The lesson on Bernoulli's Principle given last time was taken from
the
book
13 October 1998: Tynnetta Stanley [Home Schooling Mother]
She simulated lungs by putting balloons in a bottle. She and her
assistant tried to blow up the balloon inside a bottle until the
balloon filled the bottle. It was easier to blow up a balloon
inside a
large bottle than a small bottle
24 November 1998: Arlyn VanEk [Iliana Christian HS]
[A problem in Hewitt's textbook Conceptual Physics]: A
dish
with water in it is set spinning, and there is a family of
floating
ducks on the dish. Since the water at the center of the dish is
lower
than at the sides, where will the ducks float? This problem was
solved
empirically, by setting the dish on an OLD! Phonograph. Ann
Brandon
[Joliet West HS] explained that the weight and the buoyant
force must add to produce a net force into the center of the
circle
along the path of rotation of the ducks, who are still in the
water as
it rotates with the turntable.
24 November 1998: Bill Colson [Morgan Park HS]
He brought in several objects that he purchased recently at a gift
shop
at Navy Pier. One was a half-black, half-white object, that
appears to
show colors when it is spun. Also, there is a spiral that gives
the
impression of up-down movement after you look at it for a while.
He also passed several spinning patterns reprinted from Turntable Illusions: Kinetic Optical Illusions for Your Record Turntable, by John Kremer, which is available from Open Horizons; PO Box 205; Fairfield Iowa 52556; 1-800 798-6130; ISBN 0-912411-37-6.
24 November 1998: John Bozovsky [Bowen HS]
He showed a Stargazing cartoon featuring a box with pin hole, for
safe
viewing of the image of the sun during an eclipse. The observer
would
have to be a pinhead [zero cranial cross-section] in order to see
the
image, since otherwise his head would have blocked out the
sunlight!
Porter commented that, until quite recently, the sun's cornea
[solar
atmosphere] was visible only during solar eclipses. The eclipse in
Africa on 29 May 1919 was used by Eddington [http://www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Eddington.html]
to confirm Albert Einstein's General Theory of Relativity, which
predicted that light would be deflected by gravity when it passed
close
to the sun, so that stars seen during an eclipse would appear to
be in
the wrong places. The dating of total eclipses of the sun is an
important piece of information for cosmological considerations.
The
Arabs after 700 AD kept very good records of total eclipses, and
clearly described them as such: http://image.gsfc.nasa.gov/poetry/ask/a11846.html.
Of course, Europe was still in the dark ages at this point, and there were no serious European astronomers until the time of Copernicus. In fact, many of the bright stars still have their original Arabic names. See the website http://www.jas.org.jo/star.html.
John also gave away gallon cans [without tops] that can be caused to collapse because of air pressure when the air inside is removed.
05 September 2000 Ann Brandon (Joliet West HS) gave each group of two of us an eye dropper and a Dixie cup half-filled with water. We provided our own penny, and Ann told us to find out how many drops of water the penny would hold. She posted results on the board as we found our answers:
| Heads | 22 | 21 | 30 | 34 | 24 | 28 | 13 | 17 |
| Tails | 28 | 45 | 30 | 31 | 24 | 18 |
In our curiosity to explain the results, the concepts of area and surface tension were brought up and discussed, and we enjoyed a good review and multiple insights into these topics. A good classroom investigation - Thanks, Ann!
30 January 2001 Larry Alofs (Kenwood HS)
addressed the question as to whether certain small, hand-held
pencil
sharpeners [http://www.staedtler.com
- products - graphite/accessories - sharpeners - metal sharpener],
such
as those manufactured by Staedtler™, are made out of Magnesium
metal, as they suggest.
His first thought was to determine the density of the pencil sharpener [after carefully removing its steel blade]. The density r is given in terms of the mass m and volume V as r = M /V. As an example, he took an iron cube, measured its sides to be 3.19 cm , so that its volume is V = [3.19 cm]3 = 32.5 cm3. With the scales, we determined its mass to be 251.4 gr. Its density was then r = 251.4 gr / 32.5 cm3 = 7.74 gr/cm3, in good agreement with the standard value r = 7.87 gr/cm3. This approach works well enough with a regularly-shaped object such as a cube, but will not work well with the irregularly shaped pencil sharpener. How do we find its volume?
He takes a cue from the great Archimedes [http://www.mcs.drexel.edu/~crorres/Archimedes/Crown/CrownIntro.html], and weighs two standard 1 kg masses "while in air" and "while under water". Here are the data:
|
Standard Mass # |
Weight while in air |
Weight while under water |
|
#1 |
10 Nt |
8.8 Nt |
|
#2 |
10 Nt |
8.5 Nt |
He then decides to suspend the iron cube under water, and to determine the apparent increase in mass of the water, using electronic scales. He finds that, when the mass is held by a string while submerged in a beaker of water sitting on the scale, the increase in mass is registered as 32.5 grams. He therefore concludes that the volume of the cube is the same as the volume of 32.5 grams of displaced water, or 32.5 cm3. Thus, he has measured the volume of the iron cube without needing to take advantage of its regular shape. The same trick works with the pencil sharpener:
This is in good agreement with the "handbook value" for the density of Magnesium; r = 1.74 gr/cm3.
However, if the pencil sharpener is actually composed of Magnesium, and not of some imitation, you should be able to use a file to scrape off little particles, which burn brightly when dropped into a flame [butane cigarette lighter]. This experiment was a sparkling success! Magnesium fires are difficult to put out, in practice. Even a CO2 extinguisher does not work well, because the burning Mg reacts with the CO2 to yield MgO and CO. The white sparkles in fireworks displays are generally caused by Magnesium, whereas orange sparkles can be produced by Iron filings.
The experiment was viewed on the big screen TV through the video input with a video camera obtained from All Electronics Corp. The CCD Color Camera [CAT #VC-250 $43.75] and 5.7 V DC Power Supply [CAT# PS-577, $5.50] can be ordered on their website, http://www.allelectronics.com/ or by calling their toll-free number; 1 - 888 - 826-5432.
11 September 2001: Don Kanner (Lane Tech HS) Summer Vacation in
New
Brunswick, Nova Scotia,
and Prince Edward Island
He showed a video that he made on the North Cape of Prince Edward
Island. First he
showed a Windmill Farm, and then we saw the wave interference
pattern
set up [in late June] by waves coming in from the Atlantic Ocean
that
interfered
with waves from the Gulf of St Lawrence. Don is working on
an
edited version of his
tapes, which will be useful in the classroom. If anybody can
make
multiple
copies, Don will share this.
Don described his theory of wave formation by wind blowing toward the shore, and raised the question of why don't you see big waves going out from the shore into the sea? He also described seeing a Bore Tide at the Bay of Fundy, between Nova Scotia and New Brunswick, home of the world's largest tides. It was pointed out that the second largest tides occur near Anchorage Alaska. Also, see the website http://www.iit.edu/~johnsonpo/smart00/lesson4.htm.
25 September 2001 Larry Alofs (Kenwood HS, Physics)
Measuring the Density of Air, etc
Larry brought his trusty digital scale, as well as a plastic
"baggie"
and a paper clip. He filled the baggie with air by pulling
it
through the
air, taking advantage of the Bernoulli effect, and then
used
the paper clip to
hold the air inside. He determined the weight of this system
to
be 4.7
grams. He then deflated the bag, and found the weight
of the
bag and
paper clip to be --- still 4.7 grams! It would be
risky
to conclude
that the air in the bag has no mass; in fact that would be
incorrect. The
density of air is about 1.3 grams/liter, and the bag holds
1
- 2
liters of air at about atmospheric pressure; thus there are
1 -
2 grams
of air in the bag. The weight of air inside the bag (a
downward
force) is
cancelled out by the buoyant force (upward) caused by air in the
room. How
do we demonstrate that these buoyant forces are real, and not just
some
Physics
Phiction / Fiction?
Larry filled the bag with Natural Gas, which consists
primarily of Methane
[CH4]. With a molecular weight of 16,
versus 28
for the Nitrogen molecule [N2], methane is
lighter
than
air. The baggie filled with methane, plus paper clip to hold
in
the gas,
was measured to have a mass of 3.8 grams. The weight
of
methane
inside the gas is less than the weight of the same volume of air
inside
the bag,
whereas the buoyant force [weight of air displaced by the bag] is
the
same in
the two cases. Larry let a little methane out of the bag,
and
showed that the
weight on the scales increased to 3.9 grams.
Comment by Porter Johnson: The difference in weight of the methane-filled bag and air filled bags is about 0.9 grams, and we could use the molecular weights to estimate the mass of air in the bag to be 0.9 grams ´ 28 / (28 - 16) » 2 grams. Et Voila!Larry repeated the same experiment with a balloon, and showed that the empty balloon weighed 13.0 grams, whereas the full balloon weighed 13.2 grams. The difference is produced by the fact that the air inside the balloon is slightly more dense than air in the room, because the pressure inside the balloon is slightly greater than atmospheric pressure. Therefore, one should use baggies, and not balloons, to illustrate buoyancy in the purest form.
Larry next described a set of experiments using a Sidearm Erlenmeyer Flask [or vacuum flask], which he used to make quantitative measurements. In class he used a vacuum pump to remove air from the flask, with the flask weighed before and after this process. When about 0.5 liter of air was removed from the flask, the weight was decreased by about 0.6 grams. The buoyant force on the flask remains the same before and after this process. He also suggested the following additional experiments with the Sidearm Erlenmeyer Flask:
23 October 2001: Ann Brandon (Joliet West HS, Physics)
Pressure
Ann began by showing a heavy rubber insulating pad
obtained used
from the local electrical power company for electrical line
maintenance. Then she
had cut it into a circular disk of diameter about 10 in, sheet,
she had
poked a hole in the middle,
passed a piece of strong fishing line cord through the hole, and
tied
it to a
heavy washer. She placed the disk on a smooth flat object,
and
when she
pulled up on the cord, the object was lifted, thanks to air
pressure. Since
the air pressure P is about 15
lb/in2, and the cross-sectional area A
of
a circle of diameter
d of about 10 in
is A = p d2/4 » 80
in2, the
total force available because of air pressure F =
P A
is about 1200 lb.
As an additional application of air pressure, she showed a pair of dent pullers, available at local hardware stores for about $1. Dent pullers work better, and they cost less than the Magdeburg Hemispheres available at science supply houses http://store.pasco.com/pascostore/showdetl.cfm?&DID=9&Product_ID=54032&Detail=1.
Ann next showed the Bed of Nails Demo, showing the effects of a uniform force distributed over multiple points, and then only at one point. This apparatus, shown below, is available from the following Educational Supply house:
Tonawanda Products Inc.
653 Erie Ave
N Tonawanda, NY 14120
Phone: 716-743-2021
Fax: 716-743-2787

She blew up a balloon, and placed it under a platform held in place on a bed of nails. Then, she placed weights on top of the platform, until the balloon burst. She then repeated the experiment, using only one nail instead of the bed of nails.
05 March 2002: Bill Blunk (Joliet Central HS Physics) --
Preparation for 01 April 2002
Bill pointed out that our favorite Physics Trick Day
is
fast
approaching, and in the spirit of that occasion he showed us a
small
glass jam
jar with the lid closed, almost filled with water [about 50 cc].
He
held
the jar upright and loosened its lid. To our surprise, water
streamed
out of the bottom of the jar. How come? There was a
hole
in the
bottom of the jar (!), and the water remained in place until the
lid
was
loosened. Why did that happen?
He had drilled the hole in the jar with a spear point (carbide) glass-and-tile drill [http://www.nextag.com/glass-drill-bit/search-html or http://power-tools.hardwarestore.com/54-383-drill-bits-glass-and-tile.aspx], which should be lubricated with water or kerosene during the drilling process. He had produced a very nice hole in the bottom of the glass jar -- about 3 mm [1/8"] in diameter -- which would not be evident to a casual hapless observer. Good show, Bill!
19 March 2002: Bill Blunk (Joliet Central HS Physics) --
Continued Preparation for 01 April 2002
Bill showed us another idea for the coming
Physics
Trick Day. He
showed us a glass Pepsi® bottle filled with liquid,
and he
covered its
opening at the top with a small square of wax paper.
Holding the
paper in place, he carefully turned it all upside down. When he
released the
paper, it stayed in place, and no water came out! Most of us
expected
that,
since we are physics teachers and have seen this sort of thing
before.
But then
he slowly and carefully removed the wax paper. To our
astonishment, the liquid remained inside the bottle!
Then, he
brought
a needle up to the opening of the inverted bottle, and stuck it
through
the
opening and into the liquid inside!
Amazing! ... the liquid still stayed in the bottle! How come? Bill didn't explain, but hinted darkly that it was important to put the right liquid in the bottle, and that he had seen this feat of quasi-magic first performed by Ed McNeal of UIC, and now retired and living in Montana.. We all look forward to our post-April Fools-Day enlightenment, Bill!
02 April 02: Bill Blunk (Joliet Central, Physics) finally did a replay of the magic trick, in which he apparently placed wax paper over a water-filled olive jar with a very large opening, turned it upside down, and -- to the surprise of some -- the water remained in the jar. But then he held the jar -- still upside down -- over a container and carefully removed the wax paper-- and still -- the water remained in the jar! After giving us time to see that this was really happening, he shook the jar vigorously, and the water dumped out. With some reluctance, he decided to show us how this was done. He reached into the container of water and retrieved the wax paper, along with a thin sheet of plastic acetate film that he had cut to fit just over the opening of the jar. When he earlier had placed the wax paper over the mouth of the upright, water-filled jar, the plastic cover (not visible to us) had been sticking to the wax paper, so that it actually covered the jar's mouth, with the wax paper sticking to it on top. With a big smile, he remarked that "He who acetates is lost". Very sly, Bill!
02 April 2002: Ann Brandon (Joliet West HS Physics) -- Sinking
of
Straws
Ann passed out an instruction sheet for an experiment used
by
Physical
Science teachers at her school, which containing the following
information:
| Length of straw below the surface (cm) |
Predicted Number of BBs | Actual Number of BBs | Observations |
| 4 cm | |||
| 5 cm | |||
| 6 cm | |||
| 7 cm |
Collect the data from each team and create a Class Data Table
| Number of BB's Needed to Sink Straw to Indicated Depths | ||||
| Team | 4 cm | 5 cm | 6 cm | 7 cm |
| 1 | ||||
| 2 | ||||
| ... | ||||
| Avg | ||||
Ann obtained BBs and straws from a wide selection available at WALMART. We found that 4 BBs were necessary to sink the straw to a depth of 4 cm, and that with 5 BBs the straw went down to a depth of 6 cm. Very interesting, Ann.
24 September 2002: Larry Alofs (Kenwood Academy, Physics)
Catsup
/ Ketchup Saver
Larry recently acquired a Ketchup Saver at K-Mart,
at a
cost of
around $2 The device was a cap, which contained three different
sets of
threads
on either side, so that a nearly empty bottle could be held in
place
above a
nearly full bottle, enabling the contents of the top bottle to
flow
into the
bottom one without wasting very much valuable Ketchup.
The
Ketchup
Saver [Zebra code number 32368- 06036] is distributed by Johari/US
Inc,
1205 Venture Court, Carrollton TX 25006. He found that the
device
could be used
to attached two two liter plastic pop bottles together, for making
a
Vortex
Tornado Tube. The device is similar to one
distributed
by Edmund
Scientific [Mailing address: Scientifics; 60
Pearce Avenue;
Tonawanda NY 14150-6711, Tel: 1 - 800 - 728-6711; website:
http://www.scientificsonline.com].
Larry filled the bottom bottle with water, tightened
the
cap onto the bottom
bottle and the inverted top bottle, and turned everything
upside
down. The
water dribbled slowly from the top bottle into the bottom bottle.
He
repeated
the process, moving the inverted system in a horizontal circle a
few
times, to
produce slight a slight rotation of the water in the top
bottle.
This
time, the water flowed more rapidly to the bottom bottle,
producing a
whirlpool
or vortex down the column of water along the vertical central axis
of
the system.
Larry then asked why the water went around more rapidly as the
second
bottle
becomes empty. The answer is "Conservation of angular
Momentum",
which he wrote in this form:
Larry illustrated angular momentum conservation by attaching a light object [mass about 20 grams] to one end of a string of length about 1 meter, and inserting the other end of the string through a hollow tube of about diameter 1 cm and length about 20 cm. He held the tube vertically just above his head with one hand, and held onto the string with the other. Then he swung the mass around [slingshot style] in a horizontal plane above his head, while holding onto the string. The mass moved in a circle with moderate speed. When he pulled the string down through the tube with his other hand, decreasing the radius of the circle-of-rotation, the mass obviously speeded up. Larry mentioned a demo done by Earl Zwicker several years ago, in which he sloshed sand around in a funnel while it was draining into a container below. As the sand emptied from the funnel, it began to slosh around more violently. Larry commented that this demonstration has practically nothing to do with the Coriolis Force, and neither does the "draining bathtub", which is essentially similar to these. Very clever and thoughtful, Larry!
08 April 2003: Gary Guzdziol [Carol Roosevelt School, Science
Teacher]
Atmospheric Physics
Gary did a series of experiments to demonstrate the
effects
of air
pressure. He held an empty, opened aluminum pop can with
tongs,
first putting a little water into the bottom, and then heating it
over
a small
propane torch until mist began to come out. Then, he plunged the
can
into a tub
of water, the opened top end first. The can promptly
collapsed,
its
lateral surface being pushed in. Why? At
first,
this seemed
to be an inevitable consequence of air pressure. Why
wasn't
water
forced into the can, instead of air forcing the can to be
crushed?
Remarkably,
it was easier for the can to collapse than for the
water to be pushed into it. Just as a chain breaks at its
weakest
link,
the easiest mechanism for pressure reduction is the one that
occurs. Amazing,
when you think about it!
Gary then produced a few boiled eggs, from which he removed the shells. Next, he lit a small piece of paper, which he pushed into a glass gallon [4 liter] jug. Gary promptly placed a boiled egg to cover the opening at the top of the jug. Gradually, the flame inside went out, and the egg was sucked into the jug. Why? The conventional explanation, that the oxygen inside the jug is removed by the fire, is incorrect --- since Carbon Dioxide, as well as smoke and water vapor, is copiously produced. Rather, the effect is almost entirely thermal --- hot gas initially inside the jug is cooled, thereby reducing the pressure. It must be so! Gary was then presented with the problem of getting the egg out of the bottle. He accomplished that task by holding his lips tightly to the opening and increasing the pressure inside the jug, while quickly turning it upside down. When he took his lips off the jug, the egg was pushed out because of the temporary rise in air pressure inside the jug. Gary repeated the experiment several times, with complete success.
Gary's final experiment involved suspending a 55 gallon [250 liter] drum, placing about 1 gallon [4 liters] of water inside it, and heating the drum with a large propane torch [used by plumbers for melting lead]. After about 15 minutes, mist began to come out of the opening on the top of the drum. He then turned off the heat source and closed the opening tightly with a cap and wrench. He placed about 20 liters of snow [conveniently available today!] on top of the drum to speed the cooling process, and said that we should step back a little bit and wait about 15 minutes for something to happen. We waited and waited and waited, and nothing happened! How come? It seems as though the pressure reduction inside the drum was not quite great enough to produce the expected collapse, since the air inside had not been replaced by steam in sufficient quantity. At the end of class Gary opened the drum with his wrench, and the sound of air rushing into the drum could be heard by all.
Better luck next time --- you nearly blew us away! Thanks, Gary!
22 April 2003: Gary Guzdziol [Carol Rosenwald School --
Science
Teacher]
Implosion of Steel Drum, Continued
Gary again put a little water into the drum, heated it
vigorously
for about
15 minutes until steam was pouring out, and sealed the
drum..
We waited for the
drum to implode ... and we waited ... and we waited .. and we
waited.
Nothing happened during the entire class! Why?
We
concluded
that either the drum had a pinhole leak somewhere
--- or
else he
had gotten a super-drum! Gary promised
to
show us his
home-made video of an imploding drum at the next meeting.
We look forward to the video --- thanks, Gary!
22 April 2003: Lovesea Jose [Du Sable HS,
Physics]
Water Tube
Lovesea showed us a plastic tube of outside diameter 8-10
cm,
about 1 meter long. The tube was completely filled with
water (dyed
blue) and
securely plugged at both ends. Furthermore, we could see a
white (Styrofoam®)
ball inside the tube. When she held the
tube vertically,
we could see the ball gradually rise in the water,
until it
went to the top of the vessel. There was a murmuring
consensus that the
ball rose in the water because the buoyant force on
the
ball acted
upward, and was greater than the weight of the ball.
Lovesea
quickly
turned the tube upside down so that the ball was initially at the
bottom, and
it again rose to the top. So far, so good!
Lovesea again turned the tube over, but then she tossed it up into the air. We saw the ball initially rise a little, but it did not continue to rise when the tube was put into free flight. Amazingly, the ball stopped in its tracks [relative to the tube!] just as she released it. How come? After some discussion, we developed the consensus that buoyancy occurs as a consequence of gravity, and that in free fall, the tube, water, and ball move together in the same way.
Earl Zwicker showed us how this tube can be used as an accelerometer.
Great ideas, Lovesea!
06 May 2003: Don Kanner [Lane Tech HS,
physics]
Question on Hydraulic Rams
Don
passed out this summer homework problem assignment, taken
from the
classic text Elements of Physics by R F Millikan
and H G
Gale:
A copy of the
problem can be seen by clicking here:
Information concerning Hydraulic Rams can be obtained from these sources:
22 April 2003: Leticia Rodriguez
[Peck Elementary
School] Mass
Concepts
Leticia first made a presentation on the concepts of mass
and
weight aimed
at primary level. She showed us these four objects:
| W: Wooden sphere : | G: Glass sphere | S: Steel ball | P: Plastic cube |
| S | > | G | > | W | > | P |
| G | > | S | > | W | > | P |
| G = 20 P | G + S + 31 P | P + W < S | P+ W +S < G |
Remark by PJ: In the immortal classic, The Leatherstocking Tales [ http://www.mohicanpress.com/mo06058.html] by James Fenimore Cooper, Nathaniel Bumppo [hawkeye, la longue carbine, etc], Chingachgook [The Last of the Mohicans], and his son Uncas [a Delaware --- American Indian cultures are invariably matriarchal!] hid from their pursuers by lying underwater among the reeds on the edge of a lake, while breathing through reed straws. Does this actually work, and if so, how and why?
25 January 2005: Walter McDonald [CPS substitute
teacher]
Buoyancy
Walter presented us with two questions on Buoyancy from the
book
1000 Play Thinks:
Games of Art, Science, and Mathematics by Ivan Moscovitch.
For
details see
the SMILE writeup of 24 September 2002: mp092402.html
. Walter provided a clear "fish tank" reservoir
filled with water, and we studied the questions and answers,
drawing
conclusions
as given below.
Neat demos and good physics! Thanks, Walter!