Satellite Dish ProjectSatellite Dish Project

Power-Point by Jordan SchettlerPower-Point by Jordan Schettler

OutlineOutline

• Introduction

• Phase I: Research

• Phase II: Make a Model

• Phase III: Show Off Time

• Phase IV: Why it Works

IntroductionIntroduction

• 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: ResearchPhase I: ResearchStudents made brochures which included the following information (as well as there own

personal touch):

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?

Student SampleStudent Sample

Phase II: Make a ModelPhase II: Make a ModelStudents made schematic drawings and

prototypesStudents made schematic drawings and

prototypes

Sample SchematicsSample Schematics

Sample SchematicsSample Schematics

Building the PrototypeBuilding the Prototype

Building the PrototypeBuilding the Prototype

Building the PrototypeBuilding the Prototype

Prototype Formula

• (x-h)2 = 4P(y-k)• 4P=16; P=4• (0,0)= Vertex

•Create formula

•Draw

•Build

•TestEchoStar “We Work

Together to Help YOU”

Phase III: Show Off Time

Phase III: Show Off Time

Students build full scale dishes and make power-points

Students build full scale dishes and make power-points

Making the BaseMaking the Base

Extra Supports and Surface

Extra Supports and Surface

Installing the FocusInstalling the Focus

Some Finished ProductsSome Finished Products

Testing the ProductsTesting the Products

KTKM Corp

Dishing out a better future

Student Power Point Samples

Student Power Point Samples

Function

Focus: (0 , 3) , Directrix : y=-3

4p=12 , p=3

Vertex : (0, 0)

4p

Constructing Our SatelliteConstructing Our Satellite

MeasurementsMeasurements–Focus: 16 inchesFocus: 16 inches–Diameter: 28 inchesDiameter: 28 inches–Circumference: 87.92 inchesCircumference: 87.92 inches–Height of dish: 12 inchesHeight of dish: 12 inches–Curve: xCurve: x22=16y=16y

1.Hard cardboard foam 2.Poster board 3.Ruler4.Folder5.Hot glue gun 6.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 WorksPhase IV: Why it WorksStudents learn the calculus behind reflectionStudents learn the calculus behind reflection

Vertical Beam on a Curve

Vertical Beam on a Curve

The slope of the reflected line is the average of the slopes of the tangent and normal lines

The slope of the reflected line is the average of the slopes of the tangent and normal lines

Vertical Beams on a Parabola

Vertical Beams on a Parabola

The parabola has the feature that vertical beams are reflected through a common point, the focus.The parabola has the feature that vertical beams are reflected through a common point, the focus.