Reuleaux triangle Height function Performance rating
Terminology Curve of constant width drawn from a triangle.
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Improvement of performance criteria Inertial properties Centre
of gravity
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Objectives To explore the mathematical properties of different
rollers. To apply physics concepts to Reuleaux triangle. To examine
the advantages Reuleaux curves have over a circle. To apply our
research to real life situations
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Research Problems How can we apply the performance criteria to
rollers of regular shaped polygons? 1 1 How can we extend the
performance criteria such that it includes physical properties? 2 2
How can we extend the results to all Reuleaux curves in general? 3
3 How can we apply the results obtained in real-life situations? 4
4
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Field Of Mathematics Calculus Geometry Mathematical Analysis
Trigonometry
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Methodology
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Evaluate the mathematical properties of the polygon. Evaluate
the mathematical properties of the Reuleaux curve. Compare the
graphs of the height function with mathematical properties of both
shapes
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Apply physics concepts to the Reuleaux curves. Derive a general
expression for the physical properties of Reuleaux curves.
Determine the general expression for the area of Reuleaux
curves.
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Plot the graph for area and MOI on the same graph. Determine
the Reuleaux curve with optimum cost and performance Examine the
applications of our research in real life.
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Timeline
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Slide 16
My mentor has issues with my project idea! What should I do?
Why is this the case? The topic may be too easy/difficult for my
level. The topic may have been researched sufficiently. The topic
may not be suitable for a Cat-9 project. What should I do? Redefine
the problem to address a more difficult/easier/different aspect
Possible Issues
Slide 17
What makes a good idea for me to commit it to a 7 month
project? A well-researched project in many areas (Primary,
Secondary or Tertiary) A less developed research topic More aspects
to look into Possible Issues
