drilling square holes the perfect roller not-so ^
TRANSCRIPT
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- Drilling Square Holes
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- The Perfect Roller Not-so ^
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- 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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- 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
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- 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
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- Thank you!