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FST Section 4.10
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Looking at sin, cos, and tan from the unit circle http://www.analyzemath.com/unitcircle/u nitcircle.html http://www.analyzemath.com/unitcircle/u nitcircle.html
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Wind Turbines Practice Problems
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Graph/describe each of the following: a) f(x) = cos (x + π/4) – 1 b) f(x) = 2 sin (3x + π) + 2
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P. 292 Activity (with a partner) CALCULATOR!
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Date1/152/153/154/155/156/15 Day154674105135166 Hours of Daylight 8.8810.311.8513.6215.115.95 Date7/158/159/1510/1511/1512/15 Day196227258288319349 Hours of Daylight 15.5814.2712.610.929.338.48
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Slinky
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When weight is suspended from a spring attached to a rod, it will remain in the equilibrium position, unless disturbed. If the weight is pulled a small distance, it will oscillate indefinitely about the equilibrium position (assuming no friction). For example, at t = 0, the weight is pulled 3 cm. After 1 sec, it is back to equilibrium. After 2 sec, it is 3 cm above equilibrium… etc. Find an equation of a sine curve to fit these data.
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Simple harmonic motion All materials have a natural harmonic frequency This video also includes an example of an oscillating weight on a spring Videos: http://www.youtube.com/watch?v=eeYRkW8 V7Vg&feature=fvw http://www.youtube.com/watch?v=eeYRkW8 V7Vg&feature=fvw
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A satellite is deployed from a space shuttle into an orbit which goes alternately north and south of the equator. Suppose the satellite is y kilometers north of the equator at x minutes. (y < 0 for south) It reaches 4500 km, its farthest point north of the equator, 15 mins after launch. Half an orbit later, it is 4500 km south of the equator. One complete orbit takes 2 hours. 1) Find an equation using cosine to model the distance of the satellite from the equator. 2) How far away from the equator is the satellite 1 hour after launch?
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The motion of a piston in a car’s engine follows a sine curve. See the following example: http://www.intmath.com/Trigonometric- graphs/2_Graphs-sine-cosine-period.php
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Electromagnetic waves – The interaction between electrically charged particles: includes light waves, radiation, radio waves, etc. Videos: http://www.youtube.com/watch?v=xZ6XUk7QLbU& p=9B166389CACF63CA&index=41&playnext=2 https://www.youtube.com/watch?v=m4t7gTmBK3g
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Pendulum swinging Video: http://www.youtube.com/watch?v=X- OCz9lIiY4&feature=related http://www.youtube.com/watch?v=X- OCz9lIiY4&feature=related
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Guitar string video Video: https://www.youtube.com/watch?v=TKF 6nFzpHBU&feature=player_embedded https://www.youtube.com/watch?v=TKF 6nFzpHBU&feature=player_embedded
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4-10 Worksheet 2. Page 297 - 298 # 8, 9a-d, 10, 13, 14, 16 MonthJanFebMayJulAugNov 303564807843
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