Fred Schaal (Lane Tech HS, Mathematics)
He commented about his presentation of the 11
September 2001 SMILE meeting, that none of his students had read or
heard of My Friend Flicka, and thus did not identify Flicka as
a horse. Therefore, he suggested the following syllogism:
He also gave these statements in conditional form:
One might question whether the second statement is actually true, and thus the conclusion, which may seem perfectly reasonable, cannot be made upon the basis of this "false syllogism".
Fred Farnell (Lane Tech HS, Physics) Follow The Bouncing Ball
Fred led us through an exercise that addresses accuracy, error, and
variation in the process of measurement. The motivation for his
presentation was his past experience. As an example, one group
would measure a density of a given material to be 0.60 g/cm3,
whereas another group would measure it to be 0.62 g/cm3.
Are these measurements different, or are they really equivalent?
How do we learn to appreciate the issue?
Our exercise involved dropping a ball on the floor or table from a height of 1 meter, and measuring the time between the first bounce and the sixth bounce. A series of stop watches were passed out, and we recorded these measurements, obtained by watching the bounces, hearing them without seeing them, and seeing them without hearing them:
Ball Dropped on Floor Bounces Seen and Heard Times in Seconds |
Ball Dropped on Floor Bounces Heard; Not Seen Times in Seconds |
Ball Dropped on Table Bounces Seen; Not Heard Times in Seconds |
Ball Dropped on Floor Move Hand with Bounces Times in Seconds |
3.05 | 3.28 | 3.76 | 3.75 |
3.44 | 3.73 | 3.80 | 3.75 |
3.72 | 3.75 | 3.82 | 3.78, 3.78 |
3.76 | 3.78 | 3.97 | 3.79, 3.79 |
3.80 | 3.83 | 4.13 | 3.81 |
3.81 | 3.90 | 4.13 | 3.87 |
3.85 | 4.10 | 4.31 | 3.87 |
3.88 | *miss* | *miss* | 3.91 |
4.05 | *miss* | *miss* | 3.99 |
Median: 3.80 | Median: 3.78 | Median: 3.97 | Median: 3.79 |
The last set of data, which show less variation than the others, were taken in a fashion advocated by Earl Zwicker (IIT). Namely, we moved the hand that held the stopwatch up and down in synchronization with the motion of the ball, and punched the buttons on the watch when our hands were at the right place. He suggested that this technique leads to a reduction of effects of our reaction time. It is not reasonable to conclude from the data that these numbers are really different in the four cases of interest, although more precise measurements might indicate that the ball bounced differently on the table versus the floor.
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:
Earnest Garrison (Robeson HS)
passed around a vehicle that had been made out of the following basic
ingredients:
The device worked up very well; he wound up the rubber band, which drove the propeller about its {paper clip} shaft and caused the vehicle to travel across the table. The following variations were suggested
Very interesting, and very cheap, Earnie!
Ann Brandon (Joliet West HS, Physics)
Ann gave the following handout sheet of 4 graphs of distance versus
time D-T, velocity versus time V-T, and acceleration
versus time A-T.
Ann continued her presentation of the 11 September 2001 SMILE meeting, in which she dropped a transparent plastic tennis ball tube, with washers attached to its inside bottom end with rubber bands. Using the Video camera, Jami English carefully recorded the tube as it fell through the air, so we could see more clearly when and how the washers fell inside the tube. The following tentative conclusions were made:
These conclusions are tentative, pending examination of the video.
Roy Coleman (Morgan Park HS, Physics)
indicated that an up-to-date SMILE CD ROM is available
from him for $10, plus any shipping costs. You may send him an
email at coleman@iit.edu. Also,
he announced that the next ISPP Meeting will be held Wednesday,
17 October 2001, at Morgan Park High School, starting at 6:30 pm.
Bill Shanks (Joliet Central HS, retired)
began a presentation, but promptly discovered that the apparatus was
broken. He will do it next time.
See you Tuesday, 25 September!
*** The Answers: D, B, C ... C, A, A or D ... B, C, A or D ... A, D, B
Notes taken by Porter Johnson