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Using Spreadsheets to Simulate Experiments: A Simple Example of Loading a Truck, Esquemas y mapas conceptuales de Derecho

A practical guide on how to use a spreadsheet to simulate an experiment, focusing on a simple example of a truck being loaded with sand. The concept, demonstrates how to create a spreadsheet model, and discusses the potential for further exploration in climate models. It is particularly useful for ib students who have already used spreadsheets for data analysis in practicals.

Tipo: Esquemas y mapas conceptuales

2022/2023

Subido el 16/02/2024

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2 documentos

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Using a Spreadsheet to Simulate an experiment
Another way that we can use a spreadsheet is to produce a model of a physical
phenomena. This is particularly useful when it is not possible or unethical to conduct an
experiment. A good example of this is the models used to design safety features in
motorcars. You can't test these features by crashing real cars with real people in them
(although you can use the data collected after accidents) so computer models are used
instead. Another example are the models used to predict climate change, experimenting
with the weather would simply take too long and would also be ethically problematic.
How the models work for these two examples is however way beyond the comprehension
of the average IB students and their teachers. In this course we only need to introduce the
concept with some simple examples.
Loading a Truck
This is a simple example to get the idea across. Consider a truck in the process of being
loaded with sand. 100kg of sand are loaded into the truck every minute but at the end of
each minute 10% is removed.
The question is when (if
ever) will equilibrium be reached and how much sand will the truck contain? It is of
course possible (and not that difficult) to work out the answer without a spreadsheet but
that's not the point of the exercise. The assignment is to make a spreadsheet to find the
answer. If students have already used a spreadsheet to analyse their data obtained from
practicals they will already know how to write equations and propagate them down a
column. Below is an example of how the spreadsheet might look.
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Using a Spreadsheet to Simulate an experiment

Another way that we can use a spreadsheet is to produce a model of a physical phenomena. This is particularly useful when it is not possible or unethical to conduct an experiment. A good example of this is the models used to design safety features in motorcars. You can't test these features by crashing real cars with real people in them (although you can use the data collected after accidents) so computer models are used instead. Another example are the models used to predict climate change, experimenting with the weather would simply take too long and would also be ethically problematic. How the models work for these two examples is however way beyond the comprehension of the average IB students and their teachers. In this course we only need to introduce the concept with some simple examples.

Loading a Truck

This is a simple example to get the idea across. Consider a truck in the process of being loaded with sand. 100kg of sand are loaded into the truck every minute but at the end of each minute 10% is removed. The question is when (if ever) will equilibrium be reached and how much sand will the truck contain? It is of course possible (and not that difficult) to work out the answer without a spreadsheet but that's not the point of the exercise. The assignment is to make a spreadsheet to find the answer. If students have already used a spreadsheet to analyse their data obtained from practicals they will already know how to write equations and propagate them down a column. Below is an example of how the spreadsheet might look.

After completing the spreadsheet a graph can be plotted to see how the mass of sand varies and when it reaches equilibrium. It is then possible to see the effect of changing the % of sand that is taken out each time or the amount added.

Climate models

In the previous example sand was flowing in and out of a truck. This is in some ways similar to energy flowing to and from the Earth. It is possible to make a spreadsheet to model these processes although it might be best to start with the truck before tackling the whole world.