During the summer of 2012, I had the opportunity to participate in a research experience for teachers at the center for sustainable energy at Notre Dame University (RET @ cSEND) working with Professor John LoSecco on the problem of using antineutrino detection to accurately determine the fuel makeup and operating power of nuclear reactors. During full power operation, a reactor may produce 1021 antineutrinos per second with approximately 100 per day being detected. While becoming familiar with the design and operation of the detectors, and how total antineutrino flux could be obtained from such a small sample, I read about a simulation program called Monte Carlo.1 Further investigation led me to the Monte Carlo method page of Wikipedia2 where I saw an example of approximating pi using this simulation. Other examples where this method was applied were typically done with computer simulations2 or purely mathematical.3 It is my belief that this method may be easily related to the students by performing the simple activity of sprinkling rice on an arc drawn in a square. The activity that follows was inspired by those simulations and was used by my AP Physics class last year with very good results.
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November 2013
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November 01 2013
Calculating Pi Using the Monte Carlo Method Available to Purchase
Timothy Williamson
Timothy Williamson
Grand Island Senior High School
, Grand Island, NY
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Timothy Williamson
Grand Island Senior High School
, Grand Island, NYPhys. Teach. 51, 468–469 (2013)
Citation
Timothy Williamson; Calculating Pi Using the Monte Carlo Method. Phys. Teach. 1 November 2013; 51 (8): 468–469. https://doi.org/10.1119/1.4824938
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