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Announcements 10/1/10 Prayer Tutorial Lab only open 12-2 pm tomorrow Tomorrow = last day to register your clicker and still get credit for past quizzes. Look at your clicker right now… is one of these your number?
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The Exam “What’s on the exam” handout Exam starts tomorrow in Testing Center (HGB). Anyone not know about the T.C.? See http://testing.byu.edu. http://testing.byu.edu a. a.T.C. opens tomorrow at 8 am. Exam ends next Saturday a. a.Correction to syllabus: on Saturdays, the Testing Center gives out last exam at 3 pm, closes at 4 pm. Can bring handwritten 3x5 card (both sides) I will give you all constants/conversion factors you need Can use your own calculator (storing stuff in calc memory violates spirit if not letter of the law) Time goal: 2 hours avg (took me 35 mins)
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Foxtrot
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Demo “Adiabatic Cotton Burner”
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Waves Skipping: Oscillations, Ch. 15 Today: Basic wave info Next week: Detour to “Physics Phor Phynatics”, Dr. Durfee’s book a. a.For Monday, S&J 16.3-16.6; PpP 2.1, 2.2. b. b.2.4.1 & 2.4.2 also recommended (but not 2.3 or 2.4.3) Wed = complex numbers. Quick survey via clickers: a. a.Do you know complex numbers fairly well? A = “know fairly well”; B = “not” b. b.Have you seen: e ix = cosx + isinx ? A = “have seen”; B = “not”
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Reading quiz Which of the following phenomena can NOT exhibit a combination of transverse and longitudinal waves? a. a.sound waves in air b. b.surface water waves c. c.waves in the earth generated by an earthquake
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Wave intro: some math What do these functions look like? a. a.f(x) = x 2 b. b.f(x) = (x – 1) 2 Quick writing: What would be an equation for a parabola that moves 1 m to the right every second? What will this function look like at 0 s? at 1 s? at 2 s? a. a.f(x) = (x – 5t) 2 b. b.What is its “velocity”?
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Sinusoidal waves Nothing special about parabolas… What does f(x) = cos(x – vt) look like at t = 0? at t = a little later? Add in “amplitude” Add in “phase” What if you want wave to move right-to-left? “Wave function”
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Wave properties Definition: oscillating disturbance that transfers energy (but not mass). Direction Medium Transverse vs Longitudinal Examples… a. a.Water b. b.Earthquake (P & S) c. c.Sound d. d.Light e. e.Rubber tubing (demo) f. f.Slinky (demo) Wikipedia: “S-wave”
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Did you say “Slinky”? The handing out of the slinkies a. a.We only have 34 b. b.There are 46 students in the class
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Web demo http://paws.kettering.edu/~drussell/Demos/waves/wavemotion.html
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Wave properties, cont. Web demo: Stokes’ “Traveling Sine Wave” http://stokes.byu.edu/sinewave_script_flash.html Wavelength a. a.m/wave Period T a. a.s/wave Frequency ( f = 1/T ) a. a.waves/s Speed v a. a.m/s v = f
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Worked Problem AM1320 KFAN broadcasts the Utah Jazz games at a frequency of 1320 kHz. (Check out www.jazzfanz.com.) Radio waves travel at the speed of light, 3 10 8 m/s. (a) What is the wavelength of the AM1320 radio waves? (b) What is the period? www.jazzfanz.com
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Wavefunction Let’s call it “s(x)” (because “f” is used for frequency) What does s(x) represent? a. a.For transverse waves… b. b.For longitudinal waves… What does s(x) represent?
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The (Linear 1D) Wave Equation Why is it called the wave equation? a. a.Because traveling waves are solutions of the equation! Any function that has “x-vt” will work! …or “x+vt”
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k and What’s the difference between these: General form of cosine wave: …sometimes written as: k = “wavevector”; = “angular frequency” = …
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