Real World Math The Algebra of Wind Turbines. Prescott Wind Turbine Site Idaho Trivia Question: What box office sleeper was filmed in Prescott, Idaho?

Slides:

Advertisements

Similar presentations

5-8 solving radical equations and inequalities

Advertisements

Solving Radical Equations and Inequalities 8-8

Composite Functions Consider a person working for a concrete contractor. One of his jobs is to estimate the cost for the product to put in a concrete driveway.

These are all lift-type (the sweep surface faces the wind) Blue font and lines – need to know.

Direct Variation Chapter 5.2.

1 41 in. The Hula Hoop. Used for Fun and Exercise Since 500 B.C. Helps to Explain Wind Power Concepts The Cross Sectional Area of a Hula Hoop is a Little.

Deep Water Offshore Wind Energy By Paul D. Sclavounos Horns Rev Wind Farm (Denmark) - Rated Power 160 MW – Water Depth 10-15m.

Converting Wind to Energy: The University of Maine at Presque Isle Wind Project By Sumul Shah Solaya Energy (A Division of Lumus) May 14, 2009.

2-8 Literal Equations and Dimensional Analysis

Solving equations that involve formulas.

Wind Energy Basics The Kidwind Project

Wind Energy for Students The Kidwind Project Copyright 2008.

It’s more than adding and subtracting..  Before bidding, the site should be examined for the following:  Distance from the office  Site conditions.

Warm Up What is the LCM of 3x and –4x ? What is the LCM of 5y and 2y ?

CP Math Lesson 10-3 Inverses of Logarithmic and Exponential functions.

Energy from Wind. Power Power: Rate at which energy is delivered Power = Energy Time Measured in Watts (W), kilowatts (kW), or horsepower Power is an.

Objective Solve radical equations.

College algebra 6.1 Systems of Linear Equations in Two Variables

The Answer is Blowing in the Wind… The Power of Wind.

CP Math Lesson 10-3 Inverses of Logarithmic and Exponential functions.

Electricity Production By Wind Energy Gaurav Anand ID : 05JHADAVKN0404.

Related Rates A fun and exciting application of derivatives.

Advanced Algebra II Notes 7.1 Polynomial Degree and Finite Differences

Wind power By Stephen Ha. How it works The blades spins the rotor The rotor spins the low speed shaft The low speed shaft is connected to a gear box which.

Period 1 presentation. The ruins of a Persian windmill.

Article #3 New York Windmills

Lesson 2.8, page 357 Modeling using Variation Objectives: To find equations of direct, inverse, and joint variation, and to solve applied problems involving.

Energy from Wind. The Rating Game Turbine Ratings are weird Bergey XL.1 Rated Power 1 kW Does it produce 1000W all of the time? NO! Only a small percentage.

FOUNDATION There are many different designs on how to make the foundation but all of them consist of rebar (around 15 miles total) and lots and lots of.

Scaling Three-Dimensional Figures

The Grove GTK1100 Crane arrives in a field in Germany carried on four trailers.

8-10 Scaling Three-Dimensional Figures Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

Conversion Factors and Unit Cancellation A physical quantity must include: Number + Unit + Unit.

2.4 Algebra 2cc Section 2.4 Solve quadratic equations by completing the square Note: you can’t solve x 2 + 6x + 2 = 0 by factoring or by square roots…

5.5 Quadratic Equations. Warm-up Factor fully. Solving by Factoring 1a) Solve.

Pg. 122 from Student Journal Complete 1-13

By: Zach Wood Zach Debiase Zach Dooley Tom vonMaucher.

Energy from Wind.

Algebra 1 UNIT 2 Formulas and Functions

Wind and Water Power pp Wind generators  Horizontal Axis— higher positioning of rotor blades  Vertical Axis— catches wind closer to the ground.

Welcome to Cedar Ridge Wind Farm Alliant Energy’s first fully owned-and-operated wind facility.

Wind Energy Basics The Kidwind Project

__________________________ © Cactus Moon Education, LLC. CACTUS MOON EDUCATION, LLC ENERGY FROM THE WIND WIND TECHNOLOGIES.

Dr Ravi Kumar Puli National Institute of Technology WARANGAL.

Wind Power By: Zach Wood Zach Debiase Zach Dooley Tom vonMaucher.

Jeopardy Speed Scientific Method Graphs of Motion Solving Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

8-10 Scaling Three-Dimensional Figures Warm Up Problem of the Day

Work (variable distance)

Objective: Level 7: Linking key processes

Related Rates (2.6) October 5th, 2017

Related Rates (2.6) October 7th, 2016

2nd period rd period th period th period

Wind Farm: Generators that produce AC are generally equipped with features to produce the correct voltage (120 or 240 V) and constant frequency.

Formulas and Equation-Solving

Lift-Type (the sweep surface faces the wind)

Chapter 5 Section 1 Motion.

Desert Sky Wind Farm - Map

Understanding Oklahoma’s Wind Energy Industry

Solving Quadratic equations by graphing.

Using Factoring To Solve

Solving Quadratics.

Transforming Polynomial Functions

Example 1: Solving Equations Containing One Radical

Section Day 3 Solving

Solving Radical Equations and Inequalities 8-8

Algebra 1 Warm Ups 9/25 - 9/28.

8-10 Scaling Three-Dimensional Figures Warm Up Problem of the Day

Equations & Graphing Algebra 1, Unit 3, Lesson 5.

Presentation transcript:

Real World Math The Algebra of Wind Turbines

Prescott Wind Turbine Site Idaho Trivia Question: What box office sleeper was filmed in Prescott, Idaho?

How to Build a Wind Turbine

Step 1: Build Some Roads

Step 2: Dig Some Holes Baylor Grad

Step 3: Put Some Steel in the Holes

Step 4: Pour Some Concrete in the Holes

Step 5: Stack the tower with a crane

Step 6: Build and raise the rotor

Step 7: String the wire and plug them in

Algebra Problems 1.) ▲Calculate volume of cement in cubic yards for the octagonal base ▲Multiply by the projected number of turbines ▲Estimate cost for cement required for footings ($100 per cubic yard)

14’20’ 16’ 14’ 2’ 3’ 6” 2’ Side View Ground Level when complete Base Pedestal Base Pedestal Top View Wind Turbine Tower – 80 meters tall Wind Turbine Foundation 48’

Algebra Problems 2.) ▲Calculate the tip speed of the blade in miles per hour. ▲Calculate the distance in feet that the blade travels in one hour.

Tower Base Tower Top Tower Mid Blade Nacelle

250 feet 125 feet Blade Speed = 17 rpm

GE Turbine Type: 1.5 Megawatt Wind speedPower curve (m/s)(kW) , , , , , , , , , , ,500.0 Power output as a function of wind speed The independent x variable is: Wind speed in meters per second The dependent y variable is: Power output in kiloWatts Here’s the basic equation: w = ½ r A v 3 w is power r is air density A is the rotor area v is the wind speed Problem: Solve the equation for r (section 1-3 in Alg II)

Capacity Factor Wind Turbine Power Curve Power Output in kW Wind Speed at Hub Height in meters/second 40% Capacity Factor = 40% of theoretical annual energy output Q: What polynomial function does the graph look like? A: