Ann Brandon [Joliet West HS,
physics] Pressure, revisited
Ann described a project that she recently completed in her physics
classes,
in which students compute their pressure on the ground by measuring
their weight
W [with bathroom scales], and the cross-sectional area A
of one of their feet
using
graph paper, in which the large squares are square inches. They make an
outline
of their feet on the graph paper to measure A. By taking
the ratio
P = W/A,
her students obtained their "ground pressures", to be compared with
air pressure of about 14.7 pounds per square inch. Ann then
pointed out that airline stewardesses don't wear high-heeled shoes on
the
planes, because they tend to punch through the floor, causing a
potential loss
of cabin pressure. Spiked heels are made with a rubber pad glued
onto a
steel spike, which is attached into the heel. She also
indicated that
high-heeled shoes are a potential murder weapon. [Comment by
Porter
Johnson: see the film Single White Female starring
Bridget Fonda
and Jennifer Jason Leigh.] In the course of
discussion, the
following questions arose:
Fred Farnell [Lane Tech HS,
physics] Electric Tennis Shoes
Fred showed a pair of heavily worn tennis shoes on temporary
loan from
his daughter, on which lights flashed whenever the shoe experienced a
strong
impulse. How come? It was generally agreed that not
much
current would be required to set off the LEDs in the
shoes. There was no definitive
answer as to how this was done, and it was felt
that the shoes should be taken apart to determine how they
function.
The following hypotheses were suggested to explain the operation of the
shoes:
Marilynn Stone [Lane Tech HS,
Physics]
Optical Illusions
Marilynn showed a stationary image of intermeshed gears on her
lap-top
computer. To many of us, the gears appeared to rotate when viewed close
up. This was a novel type of optical
illusion, which we all enjoyed looking at. When our eyes are not
focused,
and when we view it from the side, it appears to be stationary.
However, when
the central part is focused upon, the outer portions seem to
rotate. Isn't
this remarkable?
To see the picture, look at the image Rotating Snakes on the website: A. Kitaoka: The Latest Works: http://www.ritsumei.ac.jp/~akitaoka/saishin-e.html.
Thanks, Marilynn!
Fred J Schaal [Lane Tech HS,
mathematics]
STO FRM Not That Bad!
Fred asked if anybody knows the standard "slope-intercept"
equation for a straight line. Somebody suggested ...
Bill Shanks mentioned that an elliptical curve with semi-major axes (a,b) can be written in a similar form:
Thanks for showing us the neat Algebra, Fred!
John Scavo [Evergreen Park
HS] How
Many Blades on a Propeller??
John reminded us of two important anniversaries:
How many blades are optimal for a propeller? The answer depends upon many factors, such as the pitch of the blades, their operating speed, their size and shape, the weight, shape, and cruising speed of the plane, etc. The problem is different for a windmill, which converts wind energy into more useful forms. For details see An Illustrated History of Wind Power Development: http://telosnet.com/wind/index.html . See also the science project Number and Size of Blades on Wind Turbine vs Electrical Output: http://www.selah.k12.wa.us/SOAR/SciProj2000/JohnH.html.
Interesting questions, John!
Richard Goberville [Joliet Central HS,
physics]
Newton's Third Law
Richard showed us the video of a failed jump from a ladder resting
against
the top edge of a fence, in which the jumper missed
landing into a swimming pool, but ended up falling straight down
onto the ground, instead. The ladder was nearly twice as tall as
the
fence, so when the jumper pushed off from a rung well above the fence
top, the
ladder went one way and the jumper the other, but not as far as he had
expected. The video had appeared on a Canadian Cable TV
Channel called Captain Video, and Maximum Exposure.
Good
physics at the heart of this sad outcome, Richard! He
also passed
out plastic jumping frogs, as well as flying pencil
whirligigs,
which he had obtained in large quantities from Oriental Trading
Company:
http://www.orientaltrading.com/.
Thanks for sharing your physics toys, Richard!
Karlene Joseph [Lane Tech Park,
physics]
Launching Your Marbles
Karlene showed us an inquiry-based learning exercise obtained from
her
colleague Brian Scane. She passed around paper bowls and
plates, as
well as marbles. Karlene asked us to put a marble in the bowl,
and make
the marble move in a circle within the bowl. After some practice, most
of us were
able to make the marble go around in the bowl, although if the marble
left the
dish, it appeared to move oddly. In particular, when the marble left
the bowl it moved in
a straight path, even though its motion had been roughly circular
before its
departure. We also tried the same exercise with a paper
plate. It
was much more difficult to get the marble to stay on the plate.
Finally,
she asked us to cut one quadrant out of the plate, and predict how
the
marble would movel when it left the plate after making three-quarters
of a
revolution. Good physics insights, Karlene!
Bill Shanks [Joliet Central, physics,
retired]
Plumb Bobs
Bill referred to a recent Chicago Tribune cartoon that
showed a Plumb
Bob being pulled from the vertical toward a large person named Tiny,
with the caption:
"Hey Tiny,
you're throwing off my plumb bob again!" Bill asked
some
non-scientific friends whether they thought this cartoon was funny, and
then realized
that most people do not understand the effect of gravity. He
commented
that, although gravity affects our everyday lives, it is not
intuitively obvious
to most people as to how this occurs. Bill pointed out
that the
earth attracts the sun and moon, which in turn attract the earth.
In fact,
every object is attracted gravitationally by every other object.
We
believe this implicitly, but how do we actually show it. Can you
feel the
gravitational attraction of your hands to one another? No,
because it is
too small! Then, how do we show that gravity is present
between
everyday objects? The competing effects of air pressure,
electrostatic
attraction, and air currents would have to be eliminated. Bill
mentioned the
classical Cavendish Experiment, involving motion of a torsion pendulum
in
response to motion of a large mass nearby, as described in the Harvard Uniersity experiment: http://www.fas.harvard.edu/~scdiroff/lds/NewtonianMechanics/CavendishExperiment/CavendishExperiment.html.
Pasco Corporation [http://www.pasco.com/]
provides a very nice a Gravitational Torsional Balance; AP-8215:
http://store.pasco.com/pascostore/showdetl.cfm?&DID=9&Product_ID=51879&Detail=1.
See also the Leyboldt-Didactic GMBH site http://www.leybold-didactic.com/data_e/index.htmlfor
[332101] The Gravitational Torsional Balance: http://www.leybold-didactic.com/phk/produkte.asp?L=2
Thanks for making us aware, Bill!
Gary Guzdziol [Carol Rosenwald Specialty School,
science]
Air Pressure Collapse
Gary put a small amount of water inside a clean metal one gallon
can (about 4
liters), and with the cap off he placed it on a ring-stand.
He heated the container with a propane torch for a few minutes, until
the water
inside began to boil. Then he turned off the torch, and tightened
the lid
on the can, wearing insulating cloves. The can began to make
creaky noises as it cooled and
contracted, and this process continued until the can had clearly
collapsed in on
itself. How come? The villain here, as with his large
steel drum [mp110403.html], was air
pressure.
Next Gary showed a
rubber pad about 3/8 inch (1 cm) thick, which he had obtained
from a flooring store. He had cut the
pad into a circle, about 10 inches [25 cm] in diameter,
with a small hole punched through its center. He had pushed a
string
through the hole, and tied it to a small hard plastic ring a few cm
in
diameter. Holding the string, he dropped the rubber pad onto the
floor.
When Gary pulled up on the string, the pad stuck to the
floor -- air
pressure again. Gary was
also able to pick up a fairly heavy table with the string when the pad
was
dropped onto it. He calculated the downward force of air pressure
as the
area of the pad (about 80 square inches) multiplied by air
pressure
(about 15 pounds per square inch) to be around 1200 pounds.
Gary also showed us a rubber "dent puller",
which can also be used for carrying large glass sheets, as well
as
presumably for climbing large buildings.
Gary also showed us that this collapse under air pressure has occurred on a larger scale with railroad cars that were sealed too quickly after steam cleaning. For details see the DR SLIME website: The Can Crush Demo with a Real Life Example: http://www.delta.edu/slime/cancrush.html.
Very dynamic and interesting, Gary! Thanks.
Notes taken by Porter Johnson