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Satellite Dish Project. Power-Point by Jordan Schettler. Outline. Introduction Phase I: Research Phase II: Make a Model Phase III: Show Off Time Phase IV: Why it Works. Introduction. The Superdish Network wants you and your research team to design and build a prototype parabolic dish.
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Satellite Dish Project • Power-Point by Jordan Schettler
Outline • Introduction • Phase I: Research • Phase II: Make a Model • Phase III: Show Off Time • Phase IV: Why it Works
Introduction • The Superdish Network wants you and your research team to design and build a prototype parabolic dish. • Your team will be in competition against other teams for the job. • Everyone must contribute to make this a success.
Phase I: Research • Students made brochures which included the following information (as well as there own personal touch): • What is a parabola? • The standard form: 4p(y - k) = (x - h)2 • Vertex: (h, k), Focus: (h, k + p), Directrix: y = k - p • How does a satellite dish work? • What materials will you need for your project?
Phase II: Make a Model • Students made schematic drawings and prototypes
Prototype Formula • (x-h)2 = 4P(y-k) • 4P=16; P=4 • (0,0)= Vertex • Create formula • Draw • Build • Test EchoStar “We Work Together to Help YOU”
Phase III: Show Off Time • Students build full scale dishes and make power-points
Student Power Point Samples KTKM Corp • Dishing out a better future
Function 4p Vertex : (0, 0) 4p=12 , p=3 Focus: (0 , 3) , Directrix : y=-3
Constructing Our Satellite • Measurements • Focus: 16 inches • Diameter: 28 inches • Circumference: 87.92 inches • Height of dish: 12 inches • Curve: x2=16y
Hard cardboard foam • Poster board • Ruler • Folder • Hot glue gun • Pencil
This is the outline where we glued the foam pieces down. We made all 16 angles be the same so the satellite would work better. This is how the base of how our satellite looked like but it wasn’t all finished at this moment.
Step 6 Cut the focus to stick on the model 6 inches
Phase IV: Why it Works • Students learn the calculus behind reflection
Vertical Beam on a Curve • The slope of the reflected line is the average of the slopes of the tangent and normal lines
Vertical Beams on a Parabola • The parabola has the feature that vertical beams are reflected through a common point, the focus.