Real Life Problem
There is a freshwater spring 5 inches below ground level. It is the water
source for a town (in which the people are 1/2" tall) which is 15 inches
away. The problem is that there is a 10 inch wide gorge (huge for such
little people) between the two sources, and it is rumored that there is
contaminated water in the gorge. Now the town needs water to irrigate crops
and to drink. The goal, then, is to get clean water to the town.
As many or as few legos as desired may be used for the design. Note, however,
that centennial wind storms in the gorge are known to gust to speeds capable
of producing up to two pounds of force at the gorge's center. The building
materials are expensive, as well, at $1/block unit. Three motors are available
for use in the structure (they have been donated by a local company in the
town). Any additional motors will cost extra, though.
You, as the head engineer of this project must find a way to clean the water
(there is unknown sediment and possible acid rain contamination) and
transport it to the town. Obviously, cost is a major consideration. If the
project cannot be completed both on time and affordably, the town will be
ruined and the people will be forced to move away!
Before you begin, please present a proposal to the town council. They would
like cost estimates and detailed plans about how you and your project team
are going to get clean water to them.
Engineering Concepts
This project will teach a number of fundamental engineering principles. The
project encompasses many engineering disciplines such as civil engineering (the
aqueduct), environmental engineering (decontaminating the water), chemical
engineering (energy balances), mechanical engineering (pumps and motors),
aerospace engineering (fluid flows), and computer science (the control
software). Students will learn simple software engineering, basic chemistry
(neutralizing an agent in the water), and applied physics (supporting weight
on the aqueduct, if that is the design they choose). They will also learn to
work as a team on a multidisciplinary engineering project. Concepts such as
planning out the project ahead of time (the written proposal to the town
council), meeting minimum design constraints, and working with a budget will be
emphasized throughout the project.
Goals
The overall goal of the project is for students to get "clean" water to the
town in the best way possible. The educational goals are fairly apparent
and are detailed in the Engineering Concepts section. This project
will provide for a fair amount of creativity but will still direct students
towards the best design. The students will see the benefit of planning ahead,
and, through friendly competition, will understand the advantage of
minimizing the cost while maintaining end-user satisfaction.
Flexibility/Trade-Offs
There are a number of ways in which this project could be designed. Foremost
among the variables to be optimized are the water contamination, the water
pump acquisition, and the method for water transportation.
One option for the water contaminant could be the "given" fact that there are
microorganisms that must be destroyed for the water to be drinkable. In this
case a certain amount of hydrochloric acid (diluted) could be added. However,
the amount of HCl added could not exceed a certain point or it
would be harmful to the inhabitants. This level could be maintained by the pH
meter. Another option to simulate water contaminantion could be the presence
of acid or base in the water which would have to be counteracted. Finally, a
sediment could be in the water which would have to be filtered out.
The pumping device could be bought pre-made and just installed. Another option
could be to require the students to construct build own pumps, perhaps out of
a motor and propellors or with gears. A pumping device may not even be
required - the students may be able to move the water some other way.
Water transportation may be handled via aqueduct. This would simply consist
of a pipe on a bridge or a pipe under a bridge. The water could even possibly
be pumped through the Legos themselves, if there is no leakage!
Equipment
Since there is more than one way to solve this problem of transporting and clean
ing the water, there is more than one possible set of equipment required. Some
pieces will be essential regardless of the specific solution:
- All the legos given in our kits.
- At least 2 motors.
- 4 beakers or other comparable liquid receptacles.
- Tubing - rubber - enough to span the distance of the bridge and then some extra.
- 5. A pH sensor.
- The CHEMICALS - yet to be determined.
Depending on how each group solves this problem, other costly "necessities" may
be:
- Another pH sensor.
- A stir rod and glue.
- Elevated platforms (this could consist of a book -
but it still counts).
- More beakers.
- Touch sensors.
- Color sensors.
- A pump.
- More motors.
- A Servo.
- Food coloring.
- Lego people to mill about the bridge (these cost extra, too).
- Propellor(s).
- Temperature sensors.
- Graduated cylinders.
Everyone will receive the general equipment--but groups will have to pay extra
for the other "necessities." A group may want to purchase the Lego Dacta
Pneumatic Building Set, which consists of a hand pump, pheumatic switches,
tubing, connectors, etc. and costs around 40 dollars.
Design Performance
Several considerations can be used to evaluate the performance
of the students as they attempt to complete the project detailed above. The
most readily available method of evaluation is the relative cost of building
the structure. Given that the building material is a countable resource,
a price per piece can be levied. The group presenting the most
cost-effective project, while upholding the constraints of the design will
be recognized as the best concept.
The various constraints which will be enforced in the design phase of the
project will present alternative methods of judging the performance of the
projects. For instance, sizing restrictions will prevent the design of a
structure which does not fulfill the function of delivering water to its
destination with efficiently as as possible.
Another possible constraint to levy on the design is the amount of water
to be transported through the structure. Since the residents of the world
model need a certain amount of water, the required quantity must be
delivered in a timely fashion such that the supply does not diminish beyond
a certain point. Flow regulation, then, is an important design
consideration.
Since this project deals with the transport of a contaminable resource,
the level of contamination must be kept to a minimum. Therefore, a pH level
constraint can be imposed which, like the previous constraints, can be a
guage of project performance. If pH is not mainatined within a certain
range, then the project is not performing to specifications.
There are quite a few options regarding the evaluation of the overall
project. As such, the project phase as a whole becomes a competition in which
a high score is given, first and foremost, for a project which meets all of
the design constraints, The score is then increased for any design which
minimizes the required construction cost. In this way, a fair scale is
created with which to measure the performance of all participating designs.
The End.