9/28-10/2/15 (Pkt2 — Galileo and the Beginning of Trios)

Posted on October 4, 2015 by daskey

THIS COMING WEEK IN THE 807 : (my best guess as of 9/27)

Mon (10/5) — In Class: BOW, Joke Monday, go over TEST1 Discuss the ball up and down the ramp and the graphs that go with it.

Tues (10/6) — In Class: HO Sheet 2.8 Start the stegosaurus tail Slope of the curve stuff.

TUESDAY AT LUNCH (12:12-12:52): Rocketry (know your history)

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Mon (10/12) — In Class: BOW, Joke Monday; Slide Show; Hand out TAKE HOME TEST 2 Side 1 & 2; Will finish up Sheet 2.8; Hand out Sheet 2.9 Final Look at Trio in an outside activity (chase the mouse).

Tues (10/13) — In Class: Will Hand Out 2.10 (Beautiful Patterns)

TUESDAY AT LUNCH (12:12-12:52): ROCKETRY CANCELLED FOR TODAY

Wed (10/14) — PSAT Given in the morning so . . . not sure we will have much of a class.

WEDNESDAY BY 4:30PM Turn in your Packet 2 Reading Questions into the box

Thur (10/15) — In Class: I’ll hand out Side 3 & 4 of THT2.

THURSDAY AT LUNCH (12:12-12:52) GUEST SPEAKER (must sign up) — Pick and Hammer with FREE Pizza

Fri (10/16) — In Class: Don’t know yet.

THIS WEEKS SLIDE SHOW OF LAST WEEK:

: It’s that time of year!

: Galileo’s drawings of the moon showed that it wasn’t so perfect.

: Galileo’s telescope.

: Optics!

: Galileo’s original telescope.

: One of his modifications.

: Campanile in Venice where Galileo did his heavenly observations.

: Original Campanile fell in the early 1900’s. They’ve rebuilt it exactly as the original.

: The Cardinal refuses to look through the “devil’s tube”.

: Galileo’s drawings of the phases of Venus. Hard to explain these if you assume the Earth is at the center of the iuniverse.

: Galileo’s drawings of the phases of Jupiter proving that Jupiter has at least four moons of it’s own. This REALLY got Galileo in hot water.

: The first ceiling tile.

: Galileo’s “trial”. He was forced to recant.

: Second painted ceiling tile. “Eppur Si Muove” (“and yet it moves”) Galileo muttered this under his breath as he got up from his knees and walked back to his chair at the conclusion of his trial.

: Brennan at the Galileo exhibit at the OU library. Go by and check it out.

: Leaning Tower of Pisa.

: Organic milk ($1.25)

: Our new Book of the week.

: Brian showed me that there was a new Biggest star in the Universe –> R136a1

: Now THIS is the universe’s largest hypergiant star.

: This will be the angle for new taping of some class discussions.

: The graph that started it all. this is 6th hour’s excellent data.

: 7th hour’s data

: These Gatorades are displayed in the correct colors of the rainbow (ROYGBIV) . . . sort of.

: Here is the table of contents for 95% of all motion in the Universe.

: Remember, the order is the power on the time variable (or in general, the power of whatever is on the horizontal axis.)

: Two leopard’s fighting.

: Green Tangent lines gives the instantaneous slopes of the negative parabola. Since we are plotting position vs. time, the tangent slopes represent the instantaneous velocities.

: This is wrong, but it is smart. This is a preview of things to come this week.

: A lot of groups thought this. Good thinking, but we have to talk about the difference between algebra and calculus.

: You students do good work!

: BIG BIG BIG concepts here.

: . . .

: . . . Our first trio.

: Ball rolling up and then back down the ramp.

: Remember, the flat graph (0 order) is the basement, the linear 1st order graph (with constant slope) is the 1st floor. The parabolic function (2nd order) is the 2nd floor. We will go as high as the cubic function (3rd order). This is the 3rd floor. To go from upper floors to lower floors you take the derivatives (slopes) of the functions. The go from lower floors to upper floors, you take the integrals (areas) of the function.

: So area on the upper floor is ACCUMULATING as you integrate from left to right on the graph below. Notice that, in the case of this screenshot, with each unit of time the addition of area gets less and the accumulation of area on the graph above slows down and it begins to curve into a negative parabola. Cut and paste this https://vimeo.com/29988162 for the word that is sacret (see how I mispelled it so you couldn’t search it?)

: We talked about Apogee and Perigee.

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: Comets have VERY eccentric ellipses. THeir perigee and apogees are VERY different.

: Halley’s comet names after Edmund Halley, one of Newton’s only friends.

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: Threw this in since this is brand new. Best picture ever taken of Charon, Pluto’s moon

: So what is this turns into a baby? Can huiman have babies in space.?

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: Two volunteers to have the first space baby.

: Here is a screenshot from an excellent VSauce on babies in space. https://www.youtube.com/watch?v=jTL_sJycQAA

: I have this book if you want to take a look at it before Ty the Guy comes in for his talk in November.

: The Martian!!

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: I will take pics of common errors on tests.

: Here is the two part plan to get you back on track in here when you fall through a crack.

: New Division (you can get up to 2 hours division time per semester for helping with the NHS garden.

: Another division — you can get up to 2 hours division time per semester for helping with the NHS Aquaponic Garden..

: So we are now dissecting a Trio from the top down. This Stegosaurus tail shows how the velocity of this parabolic x vs. t graph is growing as time increases.

: So instead of having to use the overall average velocity (secant line slope) of the x vs. t parabola to describe the motion, we split it up into 9 equal times and found the slopes of these secant lines (their average velocities) to give us a better understanding of what the ball is doing as it is rolling down the inclined plane.

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: I have been taping some of the more important class discussions and putting them on our facebook group. I will eventually archive them on the website.

: The beginning of our time vs. average velocity chart that we used to plot the v vs. t step function.

: The step function below the parabola will collapse to a line as soon as we use Newton’s idea. Luckily for us, Oliver is going to divide up that curve into 288 tiny right triangles. Then we can REALLY get accurate. The smaller the ∆t, the more accurate the slope of the secant line. At least the closer the slope of the secant is to the slope of the tangent.

: So there is a trick to get Algebra and Geometry to act like Calculus.

: It’s all about the mid time.

: We haven’t talked about this in every class yet, but this is the beginning of calculus. Newton (and us) still have some work to do on the equation side. That may have to get pushed back to Packet 3 but it is extremely awesome!

: Here is one of the main points to remember for the test.

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: So with this mid time trick we can turn the zero order step function into a 1st order linear function for v vs. t. since all the steps collapse down to a point at the midtime. Therefore, we can determine the slope of this line which is the ACCELERATION of the ball down the inclined plane.

: We got an acceleration of 0.80 m/s/s for the ball represented on Sheet 2.8 There is no way to determine this unless we go through the 45 minute exercise we did in class . . . or is there a short cut? hmmmm . . . .

: What an honor!

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