Presentation Notes Water Tower Project

7/31/2019 Presentation Notes Water Tower Project

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Designing a Water System

Objectives:

1.) Understand the components to water flow and thewater needs of a town

2.) Identify the always present rates of changes that occur3.) Write a proposal paper on running a water system for a

town given the towns needs.


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Force and weight

Newtons Law : Force = m x a

A certain mass will exert a force due to gravity

Weight is the force exerted on the object. It is a

force, so w = m * a (9.8)


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Demonstration 1

http://demonstrations.wolfram.com/WeightO

fAPersonRidingInAnElevator/


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Demonstration 2

Head and Pressure

http://kamisukafizik.wordpress.com/2010/06

/17/zaem/

Head: The measurement of

elevation from a fluid surface to

release point

Pressure: force/area


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Static Pressure


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Where are we headed with this?...Ideas on why water pressure is important?

When and where is water pressure relevant?

d h f ll bl


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Consider the following problem

Will there be enough pressure to

water plant B if the height of the wateris ?

Plant A

Plant B


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1. Obtaining site information2. Determining the irrigation requirement

3. Determining water and power supply

4. Selecting sprinklers and other equipment

5. Lateral layout (or circuiting sprinklers),locating valves and main lines

6. Sizing pipe and valves and calculating total

system pressure loss

7. Locating controllers and sizing wire8. Preparing the final irrigation plan

Steps to planning an irrigation system

Where are some rates of change occurring that

you need to take into account??


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Calculus Analysis

A t t t t t i it


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A arge storage tan , open at t e top an i e witwater, develops a small hole in its side at a point 16.0 m below

the water level. If the rate of flow from the leak is equal to 2.50 x

10^-3 m^3/min, determine (a) the speed at which the water

leaves the hole and (b) the diameter of the hole. c.) the heightwhen dh/dt = sdfkdf

Identify the knowns andthe unknowns

Write the Equation ofinterest

Need secondaryequations? More than onevariable?

Differentiate

Fill in knowns andsolve for unknowns


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Project 1: Come up with or find a

Rate of Change problem

You will need to make a video on how to solve

a created or found rate of change problem.

You will also be making a physical model that

tests your calculations concretely.


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RATE OF CHANGE VIDEO RUBRIC 5

All criteria was met

3

One or two major

pieces of criteria

missing

1

An attempt at the

criteria

0

No attempt at the

criteria

Creativity/Problem Solving/ Completion

Criteria: The student

- was creative and worked through the difficult task

of showing a working model of rates of changes- was resourceful and independent; no teacher

assistance

- I was wowed and will use the video as an example

piece

- Done on time

Question and Citations


- chose an appropriate question involving the need

for differentiation- cited all material and research resources used in

the video. At least one citation should be used for

the question

- Citations were correct with APA format

Calculations Criteria: The student

- showed the calculations thoroughly

- use correct calculations throughout

- organized the work and was easy to follow

- Explained the work for solving

Working Visual and Understanding Criteria: The

student.

- created a working model that acted out the word

problem

- the model was well constructed and used

appropriate materials

- linked the calculations to the real life model


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Project 2:Water Tower Proposal Plan for Goddard Town

You will need to problem solve through proposing thebest height, volume, placement, and shape for a watertower

You will need to figure out how Calculus applies(identify where rates of changes are occurring andinfluencing this towns daily needs) and show 2 Calculuscalculations at work.

You will need to satisfy the Conditions of the town asidentified on the Town Water Tower Requesthandout.


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WATER TOWER PROPOSAL PLAN 5

All criteria was met

3

One or two major

pieces of criteria

missing

1

An attempt at the

criteria

0

No attempt at the

criteria

Creativity/Problem Solving/ Completion


- was creative & used problem solving to make a plan

- was resourceful and independent; no teacherassistance

- I was wowed and will use as an example piece

- Done on time

Rates of Change and calculus applications

Criteria:

- Two major rates of changes were identified as

influential factors in the proposal

- The paper included two mathematical models (the

differentiation equations) needed to correctly deliverwater to the town

- The student met all the demands of the town as

given in the Town Water Tower Request

Calculations Criteria: The student

- showed the calculations thoroughly

- use correct calculations throughout

- organized the work and was easy to follow

- Included the factors of the water towers height,

location (distance away from houses), and tower

design/shape

Reasoning and Paper Formality Criteria: The

student.

- created a proposal that had reasons for each

proposal (a majority should be math reasoning)

- used proper grammar and writing rules

- used equation editing tools to do easy to follow

calculations- cited correctly all material and research resources

used in the end of proposal using APA format

Documents

Presentation Notes Water Tower Project